Curriculum vitae - Roel Verstappen

Personal Data

Home address Ter Borchlaan 14, 9766 TW EelderwoldeWork address Institute for Mathematics and Computer Science, University of Groningen

Nijenborgh 9, 9747 AG Groningen, The NetherlandsPhone 050-5271585 (home); 050-3633958 (work)E-mail r.w.c.p.verstappen@rug.nl and also @gmail.comBorn June 22nd, 1962, VenrayCitizenship The NetherlandsMarital status Married to Marleen Pepping, two children

Education

1974-1980 Thijcollege, Oldenzaal1980-1985 University of Twente: MSc in Applied Mathematics

Subject Msc-thesis: Pseudo-spectral methods for 2D flow simulationsSupervisor: Prof. Zandbergen

1986-1989 University of Twente: PhD in Applied MathematicsSupervisors: Prof. Zandbergen (promotor) and Prof. Van GroesenTitle PhD-thesis: Elastohydrodynamic lubrication: a dynamic variation method

Employment

1985 Researcher, PMF-lab, Philips, Eindhoven1986-1989 PhD-student (assistent onderzoeker) in the group of Prof. Zandbergen

Department of Applied Mathematics, University of Twente1990-2005 Assistant professor (UD)

Computational Mechanics and Numerical MathematicsInstitute for Mathematics and Computer Science, University of Groningen

2006-present Associate professor (UHD)Computational Mechanics and Numerical MathematicsInstitute for Mathematics and Computer Science, University of Groningen

Visiting positions

2005 Visiting scientist at the Department of MathematicsImperial College London (3 months)

2006 Visiting scientist at the Institute for Aerodynamics and Fluid DynamicsTechnische Universitat Munchen (5 months)

2010 Visiting associate professor at the Center for Turbulence ResearchStanford University (2 months)

2005-present Visiting scientist/professor at Centre Tecnologic de Tranferencia de Calor (CTTC)Universitat Politecnica de Catalunya (UPC) (1 month per year; 6 months in 2006)

Awards and Honors

Nominated for the Wim Nieuwpoort Award 2011 by NCF/NWO and SARAAccording to the ISI Essential Science Indicators for Mathematics one paper(JCP 2003) within the 1%-citation percentileFour times elected ‘Teacher of the year’ (1x Mathematics, 3x Chemistry)About ten times nominated in ‘Teacher of the year’ elections at RuGBest-poster awards for both ‘my’ PhD-students Dirk-Jan Kort and Joop HelderYearly travel grant (d’Ajut per Mobilitat de Professorat) from UPC since 2005Visualizations of ’my’ turbulent flows were selected for APS’s Gallery of Fluid Motion

Membership of professional societies

SIAM: Society for Industrial and Applied MathematicsEMS: The European Mathematical SocietyKWG: Koninklijk Wiskundig GenootschapAPS: American Physical SocietyEUROMECH: European Mechanics SocietyERCOFTAC: European Research Community On Flow, Turbulence And Combustion

Professional service

Member Editorial Board of Computers and FluidsFrequent referee (1 to 2 per month) of manuscripts for a large number of journalsPeer reviewer of research proposals to NWO, STW, DGF, PRACE, NCF, NSF, etc.Member EU Evaluation Panel 1st PRACE Regular Call, Brussel, 2011.Member Prace Scientific Case Panels for European HPC, Barcelona 2009 & Dublin 2012Member of various scientific programme committees for international conferences, e.g.:. Int. Conf. on Turbulence and Interactions in 2006 and 2012. Euromech 507 and 549 on Immersed Boundary Methods in 2009 and 2013. Euromech 504 on LES for Aerodynamics and Aeroacoustics, 2009

Member Scientific Council High Performance Computing and Visualization, RuGContact person Groningen for PWN (Platform Wiskundig Nederland) InnovationErasmus coordinator University of Groningen–UPC BarcelonaHost/chair and organizer JM Burgers Contactgroup Turbulence Meeting 2012Chair and (co-)organizer minisymposia at ECCOMAS CFD in 2006, 2010 and 2014Organizer Breakfast with Industry, JBI, 2013Organizer (together with Wubs) of Farewell symposium professor Arthur VeldmanGroninger respresentative National Meetings on Recruiting Applied Math Students ’07Member of Departmental Curriculum Committee (2005-present)Member Departmental Course Committee (2008-present)Vice chair Examination Board (Applied) Mathematics (2008-present)Member Admission Committee Msc program (Applied) Mathematics (2008-present)Member various ad-hoc committee’s at institutional level, amongs others. Appointment advisory committee, Biofluids, Curriculum tracks

Teaching

Undergraduate courses taught in the academic year 2012/2013

Calculus I (for Math/Phys/Chem/etc)Mathematical Modeling (2/3; 1/3 by Van der Schaft)Orientation Mathematics (1/3; 1/3 by Top and 1/3 by Wit)Fluid DynamicsThird-year Bachelor Workgroup Mathematics (1/4)

Contributions to other undergraduate courses in 2012/2013

First-year Project: lecture on Writing Mathematics, project supervisorScience and Society: panel discussion memberComputer-aided Problem Solving: responsible lecturer

Other courses given before 2012/2013

Calculus, various coursesComputational Methods of ScienceComputer-aided Problem SolvingPartial Differential EquationsNumerical Mathematics, various coursesLarge-scale Parallel ComputingMathematical PhysicsParallel CFDApplied Mathematics for Chem/Phys

Supervision of BSc-students since 2010

Oscar Heslinga: Filtering in large eddy simulation, 2010Kim van Oost: Soliton: een duik in een bijzondere golf (in Dutch), 2010Siebrich Kaastra: Simulating turbulent flow, 2011Hans Zijlstra: Numerieke analyse van de wet van Green in 1D tsunamivorming, 2013Roel Christoffers: LES-models based on the invariants of the strain rate, 2013Ronald Remmerswaal: Wall models for turbulent flow, 2013

Supervision of MSc-students since 2010

Marije Bakker: Turbulence modeling: a study of regularization models, 2010Hans Oosterhuis: Energy-preserving discretization in PARNASSOS, 2011Leo van Kampenhout: Simulating wall-bounded turbulent flows in PETSc, 2011Pieter Scherphof: Modeling flow in a rotating lid-driven cavity, 2013

Supervision of 3rd year Honours College projects

Mark Boer and Guus Winter: Models for large eddy simulation, 2012Maike Jaspers: Meshing of air bearings, 2013

Other education activities in 2012/13

Coordinator Calculus 1 (24 assistants; 17 tutorial groups)Coordinator Mathematical Skills Assessment TestTutor of first-year Mathematics StudentsLectures for prospective students at both Open Day and Student for a DayHost second round Mathematical Olympiad in Groningen

Curriculum development

Undergraduate courses set up (designed) in collaboration with fellow teachers:. Mathematical Modeling (start 2008/2009). Orientation Mathematics (start 2009/2010). Bachelor Workgroup Mathematics (start 2012/2013)

Recent examples of courses that were revised by me:. Computer-aided Problem Solving (2009/2010 and 2012/2013). Turbulent Boundary Layers (2013/2014, in progress)

Lecture notes written for:. Mathematical Modeling (2008, Part I by me, Part II by Van der Schaft). Computer-aided Problem Solving (2009, major revision of notes by Lust)

Qualification

Basic Teaching Qualification (BKO), 2011

View on education

I broadly agree with Humboldt’s view on education. Students must absorb a wide range of materialoffered to them, and must actively reshape that material to educate themselves. My role in thatprocess depends on the aim of the course. Sometimes my role is mainly that of a coach, sometimes Iam mostly (not exclusively) concerned with the transfer of knowledge, understanding and skills. Beingenthusiastic is one way to motivate students; sketching the background/coherence, the communityaspect, and above all, explaining the material clearly, are other ways. Expressing a mathematicalreasoning well, generally takes a good preparation. Master students should preferably be involved inresearch projects.

Research

Daily supervised projects

Finished PhD-projects

J.G. Wissink Direct numerical simulation of turbulencePromotor: Prof. Veldman; referent: Verstappen. Nov. 10, 1995.Funded by RuG

W. Cazemier Proper orthogonal decomposition and low-dimensional models for turbulent flowsPromotor: Prof. Veldman; referent: Verstappen. Sep. 5, 1997.Funded by RuG

M.T. Droge Cartesian grid methods for turbulent flow simulation in complex geometries.Promotor: Prof. Veldman; co-promotor: Verstappen. Jan. 12, 2007.Funded by Min. O&W/EZ

M. Younas Scalable, parallel Poisson Solvers for CFD Problems.Promotores: Prof. Veldman and prof. Trentelman; co-promotor: Verstappen.Feb. 24, 2012. Funded by HEC, Pakistan.

Current PhD-projects

A.J.A. Kort Local grid refinement for turbulent flow simulationFunded by NWO; shared supervision with Wubs. Expected year of graduation: 2013

J.A. Helder Regulating turbulence by restraining small-scale transportFunded by NWO. Expected year of graduation: 2014

H. Kirbas Exact coherent structures in plain shear flowFunded by RuG; shared supervision with Wubs. Expected year of graduation: 2014.

H.J. Bandringa High-quality simulation of complex flows in maritime applicationsFunded by MIP; shared supervision with Wubs. Expected year of graduation: 2015.

W. Rozema Detailed numerical simulation of turbulent flow past aircraft wingsFunded by UEF, NLR. Expected year of graduation: 2016.

Vacancy Funded by NWO. Expected year of graduation: 2017.

Supervising Postdocs

F.X. Trias Direct numerical simulation and regularization of natural convectionJune 2007 - June 2009

J.E. Jaramillo Symmetry-preserving discretization and modeling of turbulent flowSeptember 2009 - September 2011

Grant support

Acquisition of personnel

Two PhD grants were obtained (as PI) in the Open Competition of NWO EW (Netherlands Orga-nization for Scientific Research, Physical Sciences). The two postdocs were funded by the Beatriude Pinos program of the Generalitat de Catalunya. This program provides scholarships for 2-yearpostdoc research stays outside Spain. Proposals are judged on basis of the quality of (a) the can-didate, (b) the research proposal and (c) the group where the research is performed. During theirstay the postdocs had no other affiliation then the University of Groningen. The bursary of the PhDstudent Muhammad Younas was granted by the Higher Education Commission (HEC) of Pakistan.The Maritime Innovation Program (MIP) finances the PhD position of Henry Brandinga. Finally, aPhD student (Wybe Rozema) could be appointed on the project Discovering Turbulence thanks to aprivate donation to the Ubbo Emmius Fund (UEF) of the University of Groningen.The table below gives some details.

2005 NWO EW Conservative smoothers for turbulent convection:a new simulation shortcut 1 PhD, PI

2007 Beatriu de Pinos Direct numerical simulation and regularizationmodeling of turbulent natural convection 2 yr post-doc

2008 HEC Scalable Poisson Solvers for CFD problems1 PhD

2009 Beatriu de Pinos Symmetry-preserving discretization and modellingof turbulent flow 2 yr post-doc

2010 MIP High-quality simulations of complex flowsin maritime applications 1 PhD, Co-PI

2013 NWO EW Blended models for the larger eddiesin turbulent flow 1 PhD, PI

Acquisition of computing time

A pilot project on the Julich Supercomputer Center was granted by the Partnership for AdvancedComputing in Europe (PRACE) in 2010 (150,000 CPU-hours, PI). In addition, two smaller projects(of 150,000 and 15,000 CPU-hours) were granted by NWO/NCF (PI) in 2008 and 2009 respectively.Details on larger projects are given below.

2007-2008 1,000,000 CPU-hours (approx. 8 Eurocent per hour)EU FP7 Research Infrastructure Project DEISA, PI

2008-2009 1,000,000 CPU-hours (approx. 6 Eurocent per hour)65% from DEISA (PI); 35% Barcelona Supercomputing Center

2010-2011 800,000 CPU-hours (approx. 5 Eurocent per hour)Dutch Compute Challenge Project, NWO/NCF, PI

Visiting scientists

Visiting PhD-students from UPC Barcelona

F.X. Trias Symmetry-preserving discretizations on unstructured meshes. Jan-July 2005R. Borrell Parallel linear solvers for CFD. July-Dec 2006A. Gorobets DNS of turbulent flow around a wall-mounted cube. March-July 2008A. Carmona Numerical methods for heat/mass transfer in non-Newtonian fluids. Aug-Oct 2010D. Kizildag Numerical simulation of high Prandtl fluids within enclosures. Aug-Oct 2010L.J. Cruanyes Numerical simulation of multiphase flow on instructed grids. Jan-April 2012

Their stay at RuG was funded by grants from Spain/CatalunyaAlso member of the PhD evaluation or defense committee of Trias, Borrell and Carmona.

Recent visits of dr. F.X. Trias

December 2011 - April 2012July 2012 - November 2012These visits were funded by the Generalitat de Catalunya.

Other recent guests

Helene Dallmann (Uni Gottingen), one week, 2012Benjamin Sanderse (CWI/ECN), two weeks, 2012Prof. Johan Meyers (KU Leuven), one month, 2013

Collaborations on symmetry-preserving approach

Main of part of my past research concerns the development of simulation methods for turbulent flows.Novel models for turbulent flow as well as discretization schemes have been developed in such a man-ner that relevant mathematical properties (for example, symmetries, invariants) are preserved. Thismimetic approach turns out to be very successful. The ideas and methods are used in many places,both nationally and internationally. At the National Aerospace Laboratory NLR, for instance, theapproach is copied by Johan Kok and is applied in their production code for computing aerodynamiccharacteristics of aircrafts. At UPC Barcelona the method is implemented in their industrial simulationcode for various applications, mainly in the area of turbulent heat and mass transfer. A commercialversion of the code was developed by a spin-off company, Termo Fluids SL; two former PhD-studentsof UPC work at Termo Fluids SL. Presently two PhD-students are implementing symmetry-preservingregularization models for turbulent flow simulations at the Maritime Research Institute MARIN andNLR, respectively. Henry Bandringa is implementing an incompressible version in the new MARINmulti-purpose hydrodynamic CFD code ReFRESCO, whereas Wybe Rozema is implementing a com-pressible model in the ENFLOW code at NLR. This area of research includes collaborations with UPCBarcelona, Termo Fluids SL, University of Twente, TU Delft, NLR, MARIN, Deltares, ECN, KeldyshInstitute of Applied Mathematics, Moscow, Imperial College London, TU Munchen, CNRS Nancy,Stanford University, CWI and KU Leuven.

Research interests

Computational science seeks to advance knowledge and understanding mainly through the analysisof mathematical models implemented on computers. It forms an addition to the traditional forms- theory and experiments - of science and engineering. The ever-increasing power of computers andthe advances in numerical modeling propel the field forward. Nonlinear partial differential equations(PDEs) can be used to describe a wide variety of phenomena in science and engineering. My mainchallenge is to gain understanding thereof by developing numerical simulation methods for nonlinearPDEs. The main application area is fluid dynamics since the most advanced achievements are foundhere; other prospective, upcoming application areas with good opportunities for funding are to bedeveloped, where concepts form computational fluid dynamics may direct and/or inspire the research.Besides, fluid mechanics is moving to new application areas; see for instance ‘The Fluid Mechanics ofCancer and Its Therapy (Annu Rev Fluid Mech. 45:325:355, 2013), ’Fluid Mechanics of the Eye’ (AnnuRev Fluid Mech. 44:347:372, 2012) and ‘Fluid Dynamics of Planktonic Microorganisms’ (Annu RevFluid Mech. 44:373:400, 2012). To enter these exciting and challenging new areas, multi-disciplinaryresearch teams are to be formed.

Mimetic approximations The central idea is to approximate (model, discretize and solve iteratively)the governing equations in such a way that underlying fundamental mathematical properties are pre-served. Examples are symmetry-preserving discretizations, mimetic discretizations in general, approx-imate inertial manifolds, discrete variational principles, simplectic integrators and conservative regu-larization models, see [16], [18] and [23], e.g. In my view, this is one of the subfields within scientificcomputing where substantial contributions from mathematics can make the difference. Symmetry-preserving discretization on unstructured grids is one of my projects in this area. It yields the com-putational framework that is essential to address engineering applications (Termo Fluids SL, UPC,MARIN, NLR, etc) as well as fundamental issues (for example the effect of wall roughness on near-wallflow: classical theory asserts that the direct effect is localized near the wall, but persistent experimen-tal reports imply that it may extend to the whole boundary layer).

Nonlinear PDE Multiple (spatial and temporal) scales become increasingly prominent in applications.Often the number of scales is so large that the solution of the governing set of nonlinear PDEs is to betruncated at a certain scale. Also, the discrete solution is to be defined in a finite dimensional space.In a simple Fourier method, for example, the first N Fourier modes. Any nonlinear mechanism canproduce scales that do not live in the chosen finite dimensional space. The convective nonlinearity inthe Navier-Stokes, for instance, can combine two Fourier modes with wavenumber k ≤ N into a modewith k > N . The effect of the unresolved scales on the resolved scales is to be modeled then. Largeeddy simulation of turbulence forms an eye-catching example thereof. In Ref. [27] the LES closureproblem is tackled without making use of particular properties of turbulence; hence this approach maybe generalised to other nonlinear problems. The mathematical basis of these closure models is to befortified and their applicability in real-word problems should be demonstrated further. Additionally,the nonlinear interaction between model and discretization errors is becoming a flourishing area ofresearch.

Large-scale computing In engineering applications the resolution of numerical simulations is often lowbecause the computing time is limited. Parallel computing offers the possibility the perform large-scalesimulations having more resolution. Therefore the issues related to large-scale computing (parallelliza-tion, large data sets, etc.) remain of interest. The most recent challenge in this area results from themistakes that extreme fast computers make because parts are placed so close together. This impliesthat numerical simulations need to be adjusted to detect errors due to hardware faults, or need to be-come less sensitive (or even insensitive) to these errors; this applies in particular also to turbulent flowsimulations that predict the statistics of the flow (mean velocity, root-mean-square of fluctuations, etc.)

Multiple physical phenomena Many applications involve multiple phenomena: fluid-structure interac-tion, particles in fluids, transport and combustion, etc. Therefore multiple phenomena computationalmodels, and in particularly robust and efficient iterative methods for solving coupled heterogeneoussystems have to advance. Future iterative methods will have to cope with applications in whichmultiple physical phenomena and multiple scales occur. Two concrete examples are blood flow andlarge eddy simulation (LES) with unresolved wall layers. I plan to couple the Aachener continuous redblood cell model with an elastic wall model (particle/fluid-structure interaction). LES with unresolvedwall layers may result in computing times that increase linearly with the Reynolds number Re; withresolved walls the computing time grows as Re2; fully resolving all scales results into Re3. Therefore,the iterative coupling of LES to unresolved wall models forms one of my hot topics.

Particle methods It is natural to see the Navier-Stokes equations as one of the main links in thechain: 1. Hamiltonian systems of particles ⇒ 2. Boltzmann equation ⇒ 3. Navier-Stokes equations⇒ 4. Models for turbulence ⇒ 5. Discretization methods for simulating turbulent flow. Each step isdeduced from the previous step by a process of averaging and closure. Going from 2 to 3 is the stepwhich is by now the best established. The equations at level n contain in their asymptotic behavior theproperties of the equation at level n+ 1; hence, to obtain results at level n we need to have knowledgeof the counterpart at level n+1. However, the derivation of a turbulence model is (for the time being)not accessible by first principles from the Navier-Stokes equations. It partly relies on phenomenologi-cal considerations and experiments. Therefore, it is of great interest to compute numerical solutionsof the Boltzmann equation and to interpret the resulting (numerical) scheme at the levels 3, 4 and 5.Besides, Boltzmann simulations form a strategic addition to the range of simulation methods as theypave the road to microfluidics.

Analysis Understanding the underlying processes by simply running simulations for various param-eter settings becomes more and more cumbersome. The mathematical study of the changes in thequalitative behavior of solutions of nonlinear partial differential equations by means of a numericalbifurcation analysis need be developed further to analyze and understand the results of complex nu-merical simulations. Also low-dimensional models are to be considered, see e.g. [12]. The abilityto analysis the results of numerical simulations as well as to play with the underlying mathematicalmodel (turning terms on/of, e.g.) allows to address many questions and concepts. Two topics ofparticular interest are: (1) The role of irregular turbulent patches within laminar flow: experiments inpipe flow show that they sometimes extinct, yielding laminar flow above the critical Reynolds number,and sometimes grow exponentially, yielding turbulent flow below the critical Reynolds number. (2)The computation of Approximate Inertial Manifolds (Temam, et al.) AIM is a fundamental idea forobtaining low-dimensional models. The computation of an AIM requires high-end numerics (amongstothers, efficient linear system and eigenvalue solvers).

Presentations since 2009

Invited lectures

1. Regularization models of the Navier-Stokes equations, Lorenz Center Workshop on MathematicalChallenges in Climate Science Leiden, March 9-13, 2009

2. Modelling and discretizing a turbulent differentially heated cavity at Ra = 1011, EUROMECHColloquium 504 Large Eddy Simulation for Aerodynamics and Aeroacoustics, Munchen, March23-25, 2009

3. Regularizations of turbulent flow, MARIN, Wageningen, May 14, 2009

4. Lecture at the Univeristat Politenica de Catalunya UPC, Barcelona as part of the research visitin November 2009: Novel eddy-viscosity models based on q and r.

5. Regularizing isotropic turbulence, DEISA PRACE Symposium, Barcelona, May 10-12, 2010

6. When does eddy viscosity restrict the dynamics to large eddies? 5th European Conference onComputational Fluid Dynamics, ECCOMAS CFD 2010, Lisbon, June 14-17, 2010

7. Symmetry-preserving regularization models of the Navier-Stokes equations, 5th European Con-ference on Computational Fluid Dynamics, ECCOMAS CFD 2010, Lisbon, June 14-17, 2010

8. Presentation of research plans of the Large-eddy Simulation Group, Center for Turbulence Re-search Biennial Summer Research Program, Stanford University, USA, June 28, 2010

9. Turbulence modelling of impinging jets; application to air curtains (co-authored; presented byJ. Jaramillo) JM Burgers Contactgroup Turbulence, TU Delft, 4 Juni 2010

10. Lecture at UPC, Barcelona as part of the research visit in October/November 2010: What iswrong with the Clark model? A mix of regularization and dissipation.

11. Symmetry-preserving finite-volume methods for Navier-Stokes, 16th Int. Conference on FiniteElements in Flow Problems (FEF 2011), Munich, March 23-25, 2011.

12. Keynote lecture: Symmetry-preserving finite-volume methods for incompressible flow, 6th Int.Symp. on Finite Volumes for Complex Applications (FVCA 6) Prague, June 6-10, 2011

13. Regularization models for the larger eddies in turbulent flow, Mathematics Colloquium Goet-tingen November 29nd, 2011

14. On scale-separation in large-eddy simulation, Oberseminar, Goettingen November 30th, 2011

15. Scale-truncation models for large eddy simulation, JM Burgers Contactgroup Turbulence, Gronin-gen, April 20, 2012

16. On blending regularization and eddy dissipation, Connections Between Regularized and Large-Eddy Simulation Methods for Turbulence, Banff International Research Station, Canada, May13-18, 2012

17. High-quality simulation of complex flows in maritime applications (co-authored, presented byH. Brandinga), Maritime Innovation Platform, Amsterdam, 8 Juni, 2012

18. Keynote lecture: On scale separation in large eddy simulations, Direct and Large-eddy Simula-tion 9, Dresden, April 3-5, 2013; Also joint meeting Contactgroups Turbulence and Multi-Phaseflows, IJmuiden, May 22nd, 2013

19. tba, Colloquium FORWIND, University of Oldenburg, 2013

Other lectures

1. Regularization of turbulent flow, Nederlands Mathematisch Congres, Groningen, April 14-15,2009

2. Parameter-free symmetry-preserving regularization modelling of turbulent natural convectionflows, Int. Conf. Turbulence and Interactions, Martinque, 31 May - 5 June 2009

3. When does eddy viscosity damp subfilter scales sufficiently? Int. Workshop on Quality andReliability of Large-Eddy Simulation, Pisa, September 9-11, 2009

4. Turbulent flow around a wall-mounted cube: direct numerical simulation and regularizationmodelling (co-authored; presented by F.X. Trias) 21st Int Conf Parallel CFD 2009, Moffet Field,USA, May 18-22, 2009

5. Parameter-free modelling of a turbulent differentially heated cavity with Ra-number up to 1011

(co-authored; presented by F.X. Trias) 6th Int. Symp. on Turbulence, Heat and Mass Transfer,Rome, September 14-18, 2009

6. Regularizations of turbulent flow, 5th European Conference on Computational Fluid Dynamics,ECCOMAS CFD 2010, Lisbon, June 14-17, 2010

7. An eddy-viscosity model based on the invariants of the rate-of-strain tensor, ERCOFTAC Work-shop Direct and Large-Eddy Simulations 8, TU Eindhoven, July 7-9, 2010.

8. When does eddy viscosity damp subfilter scales sufficiently?, KKMP 2010, Poznan, Poland,September 5-9, 2010.

9. An eddy-viscosity model based on the invariants of the rate-of-strain tensor, Euromech FluidMechanics Conference 8, Bad Reichenhall, Germany, September 13-16, 2010.

10. An eddy-viscosity model based on the invariants of the rate-of-strain tensor, iTi 2010 Conferenceon Turbulence, Bertinoro, Italy, September 19-22, 2010.

11. A new dynamic eddy viscosity model for LES, American Physical Society 63rd Annual DFDMeeting, Long Beach, USA, November 21-23, 2010.

12. Regularization modeling of wall-bounded turbulent flows (co-authored, presented by F.X. Trias)5th European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010, Lisbon,June 14-17, 2010

13. On restraining convective subgrid scale production in Burgers’ equation (co-authored, presentedby J.A. Helder) 5th European Conference on Computational Fluid Dynamics, ECCOMAS CFD2010, Lisbon, June 14-17, 2010

14. Turbulent flow in a differentially heated cavity: Direct Numerical Simulation and RegularizationModeling (co-authored, presented by F.X. Trias) 14th International Heat Transfer ConferencesInternational Heat Transfer Conference IHTC-14, ASME, Washington DC, USA, August 8-13,2010

15. Regularization modeling of buoyancy driven flows (co-authored, presented by F.X. Trias), ER-COFTAC Workshop Direct and Large-Eddy Simulations 8, TU Eindhoven, July 7-9, 2010

16. LES and regularization modeling of the turbulent flow over an Ahmed car (co-authored, pre-sented by O. Lehmkuhl), ERCOFTAC Workshop Direct and Large-Eddy Simulations 8, TUEindhoven, July 7-9, 2010

17. On eddy viscosity models that restrict the dynamics to the larger eddies, 13th European Tur-bulence Conference (ETC13), Warsaw, September 12-15, 2011.

18. Symmetry-preserving regularization of wall-bounded turbulent flows (co-authored presented byF.X. Trias) 13th European Turbulence Conference (ETC13), Warsaw, September 12-15, 2011.

19. Scale separation models for the larger eddies in turbulent flow, American Physical Society 64thAnnual DFD Meeting, Baltimore, USA, November 20-22, 2011.

20. Visualization of streamlines with halos (co-authored; poster presentation for Gallery of FluidMotion) American Physical Society 64th Annual DFD Meeting, Baltimore, USA, November20-22, 2011.

21. Numerical Simulation of a Turbulent Lid-Driven Cavity Flow using DNS, LES and RegularizationModels (co-authored, presented by J.E. Jaramillo), International Conference on ComputationalFluid Dynamics ICCFD7, Hawaii, July 9-13, 2012.

22. Efficiently modelling viscous flow effects by means of regularization and local grid refinement(co-authored, presented by Van der Heiden), International Conference on Computational FluidDynamics ICCFD7, Hawaii, July 9-13, 2012.

23. Spectrally-consistent regularization modeling of turbulent natural convection flows (co-authored,presented by F.X. Trias), 6th European Thermal Sciences Conference EUROTHERM 2012,Poitiers, September 4-7, 2012.

24. Numerical study of a turbulent lid-driven cavity. Models Assessment (co-authored, presented byJ.E. Jarmillo) Conference on Modelling Fluid Flow CMFF12, The 15th International Conferenceon Fluid Flow Technologies, Budapest, September 4-7, 2012.

25. On a consistent, scale-truncation model for large eddy simulation, 6th European Congresson Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012, Vienna,September 10-14, 2012.

26. Efficiently simulating viscous flow effects by means of regularization turbulence modeling andlocal grid refinement (co-authored, presented by H.J.L. van der Heiden) 6th European Congresson Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012, Vienna,September 10-14, 2012.

27. Spectrally-consistent regularization modeling at very high Rayleigh numbers (co-authored, pre-sented by F.X. Trias), 7th International Symposium on Turbulence Heat and Mass Transfer,Palermo Italy, September 24-27, 2012.

28. On blending regularization and dissipation models for the larger eddies in turbulent flow, iTi2012 Conference on Turbulence, Bertinoro, Italy, September 30- October 3, 2012.

29. On novel simulation methods for complex flows in maritime applications (co-authored, presentedby H. Brandinga), 15th Numerical Towing Tank Symposium, NuTTs, 2012.

30. New differential filters for large eddy simulation and regularization modeling (co-authored, pre-sented by F.X. Trias), Direct and Large-eddy Simulation 9, Dresden, April 3-5, 2013.

31. A symmetry-preserving discretization and regularization subgrid model for compressible turbu-lent flow (co-authored, presented by W. Rozema), Direct and Large-eddy Simulation 9, Dresden,April 3-5, 2013.

32. Towards an LES model for complex flows in maritime applications (co-authored, presented by H.Brandinga), MARINE 2013, 5th Int. Conf. on Computational Methods in Marine Engineering,Hamburg, 29-31 May, 2013.

Journal publications

1. R. Verstappen & E. van Groesen, On the consistent formulation and approximation of EHLtheory, Journal of Tribology, Vol. 111, pp. 108–113, 1989.

2. R. Verstappen, A discussion on squeeze and entraining motion in non-conformal line contacts,Journal of Tribology, Vol. 111, pp. 561–562, 1989.

3. E. van Groesen & R. Verstappen, A dynamic variation principle for elastic-fluid contacts, appliedto elastohydrodynamic lubrication theory, International Journal of Engineering Science, Vol 28,pp. 99–113, 1990.

4. R. Verstappen, Discussion of advanced multilevel solutions of the EHL line contact problem,Journal of Tribology, Vol 112, pp. 432–432, 1990.

5. R. Verstappen, A simple numerical algorithm for elastohydrodynamic lubrication, based on adynamic variation principle, Journal of Computational Physics, Vol 97, pp. 460–488, 1991.

6. R. Verstappen, J.G. Wissink & A.E.P. Veldman, Direct numerical simulation of driven cavityflows, Applied Scientific Research, Vol 51, pp. 377–381, 1993.

7. R. Verstappen, J.G. Wissink, W. Cazemier & A.E.P. Veldman, Direct numerical simulation ofturbulent flow in a driven cavity, Future Generation Computer Systems, Vol 10, pp. 345–350,1994.

8. R.W.C.P. Verstappen & A.E.P. Veldman, Direct numerical simulation of turbulence on a Connec-tion Machine CM-5, IMACS Journal of Applied Numerical Mathematics, Vol. 19, pp. 147–158,1995

9. R.W.C.P. Verstappen & A.E.P. Veldman, Direct numerical simulation of turbulence at lowercosts, Journal of Engineering Mathematics, Vol. 32, pp. 134–159, 1997.

10. R.W.C.P. Verstappen, A.E.P. Veldman & G.M. van Waveren, Application of HPCN to DirectNumerical Simulation of Turbulent Flow, Lecture Notes in Computer Science, Vol. 1225, pp.997–999, 1997.

11. R.W.C.P. Verstappen & A.E.P. Veldman, Spectro-consistent discretization of Navier-Stokes: achallenge to RANS and LES, , Journal of Engineering Mathematics, Vol. 34, pp. 163–179, 1998.

12. W. Cazemier, R.W.C.P. Verstappen & A.E.P. Veldman, POD and low-dimensional models fordriven cavity flows, Physics of Fluids, Vol. 10, Issue 7, pp. 1685–1699, July 1998.

13. R.W.C.P. Verstappen & A.E.P. Veldman, Numerical simulation of a turbulent flow in a channelwith surface mounted cubes, Applied Scientific Research, Vol. 59, No. 4, pp. 395–408, 1998.

14. A.E.P. Veldman & R.W.C.P. Verstappen, Higher-order discretization methods for CFD, NieuwArchief voor Wiskunde, Vierde serie Deel 17, No. 2, pp. 195–204, July 1999.

15. R.W.C.P. Verstappen & A.E.P. Veldman, Symmetry-preserving discretisation for direct numer-ical simulation of turbulence, Industrial and Environmental Applications of Direct and Large-Eddy Simulation, S. Biringen et al. (eds.), Lecture Notes in Physics Vol. 529, pp. 64–73,1999.

16. R.W.C.P. Verstappen & A.E.P. Veldman, Symmetry-preserving discretization of turbulent flow,Journal of Computational Physics Vol. 187, pp. 343–368, 2003.

17. Roel Verstappen and Marc Droge, A symmetry-preserving Cartesian-grid method for computinga viscous flow past a circular cylinder, Comptes Rendus Mecanique Vol. 333, 51–57, 2005.

18. Marc Droge & Roel Verstappen, A new symmetry-preserving Cartesian-grid method for comput-ing flow past arbitrarily-shaped objects, International Journal for Numerical Methods in FluidsVol. 47, 979–985 2005.

19. A.J.A Kort, R.W.C.P. Verstappen, F.W. Wubs and A.E.P. Veldman, Symmetry-preservation indiscretizations for local grid refinement, IASME Transactions Issue 6, Volume 2, 843–853 2005.

20. R.W.C.P. Verstappen & R.M. van der Velde, Symmetry-preserving discretization of heat transferin a complex turbulent flow, Journal of Engineering Mathematics, Vol. 54, pp 299–318, 2006

21. Roel Verstappen, On the inertial range of symmetry-preserving regularization models for turbu-lent flow, PAMM Vol. 7 Issue 1, pp. 1100901-1100902, 2007.

22. Joop Helder and Roel Verstappen, On restraining convective subgrid-scale production in Burgers’equation, International Journal for Numerical Methods in Fluids Vol. 56, pp. 1289–1295, 2008.

23. Roel Verstappen, On restraining the production of small scales of motion in a turbulent channelflow, Computers and Fluids Vol. 37, pp. 887-897, 2008.

24. F.X. Trias, R.W.C.P. Verstappen, M. Soria and A. Oliva, Parameter-free symmetry-preservingregularization modelling of turbulent differentially heated cavity, Computer & Fluids Volume 39Issue 10, pag. 1815–1831, 2010.

25. Roel Verstappen, Sanjeeb Bose, Jungil Lee, Haecheon Choi and Parviz Moin, A new dynamiceddy viscosity model for LES, Proceedings of the 63rd Annual Meeting of the APS Division ofFluid Mechanics (DFD10), November 21–23, 2010, Long Beach CA, Bulletin of the AmericanPhysical Society Vol. 55, p. 265, 2010

26. F.X. Trias and R.W.C.P. Verstappen, On the construction of discrete filters for symmetry-preserving regularization models, Computer & Fluids Volume 40 Issue 1, pp. 139–148, 2011.

27. Roel Verstappen, When does eddy viscosity damp subfilter scales sufficiently?, Journal of Sci-entific Computing Vol. 49, pp. 94–110, 2011.

28. Roel Verstappen, Scale-separation models for the larger eddies in turbulent flow, Proceedingsof the 64th Annual Meeting of the APS Division of Fluid Mechanics (DFD10), Bulletin of theAmerican Physical Society 56, (18) p. 207, 2011.

29. Roel Verstappen, On eddy viscosity models that restrict the dynamics to the larger eddies,Journal of Physics: Conference Series 318 042034, 2011.

30. F.X. Trias, A. Gorobets, R.W.C.P. Verstappen and A. Oliva, Symmetry-preserving regulariza-tion of wall-bounded turbulent flows, Journal of Physics: Conference Series 318 042060, 2011.

31. F.X. Trias, R. Verstappen, A. Gorobets, A. Oliva, Spectrally-consistent regularization modelingof turbulent natural convection flows, Journal of Physics: Conference Series 395 012123, 2012.

32. B. Sanderse, B. Koren and R.W.C.P. Verstappen Boundary treatment for symmetry-preservingdiscretizations of the incompressible Navier-Stokes equations, invited paper for Journal of Com-putational Physics.

33. F.X. Trias, O.Lemkuhl, A.Oliva, C.D. Prezed-Segarra, R.W.C.P. Verstappen, Symmetry-preservingdiscretization of Navier-Stokes equations on collocated unstructured grids, Journal of Compu-tational Physics, under review.

34. Roel Verstappen, A scale-truncation condition for large eddy simulation, submitted to Physicsof Fluids.

35. M. Younas and R.W.C.P. Verstappen, Scalable, parallel Poisson solvers for CFD problems, sub-mitted to Journal of Applied Mathematics and Computation.

Chapter in book

1. R.W.C.P. Verstappen & A.E.P. Veldman, Spectro-consistent discretization of Navier-Stokes:a challenge to RANS and LES, Floating, Flowing, Flying, D. Dijkstra et al. (eds.), KluwerAcademic Publisher, pp. 163–179, 1998.

2. R.W.C.P. Verstappen & A.E.P. Veldman, Preserving symmetry in convection-diffusion schemes,Turbulent Flow Computation, D. Drikakis & B.J. Geurts (eds.), Kluwer Academic Publisher, pp.41–66, 2002.

Publications in refereed conference proceedings

1. R. Verstappen, J. Ten Thije Boonkamp, R.W. de Vries & P.J. Zandbergen, Solution of the Navier-Stokes equations using an efficient spectral method, Proceedings 10th International Conferenceon Numerical Methods in Fluid Dynamics, Beijing, Zhuang & Zhu (eds.), Lecture Notes inPhysics, Vol. 264, Berlin: Springer, pp. 622–627, 1986.

2. A.J. Renkema, R. Verstappen, R.W. de Vries & P.J. Zandbergen, Some experiences with spectralmethods, Research Notes in Numerical Fluid Mechanics, Wesseling (ed.), Notes on NumericalFluid Mechanics, Vol. 17, Braunschweig: Vieweg, pp. 101–114, 1987.

3. E. van Groesen & R. Verstappen, On the variational formulation of hydrodynamic lubricationtheory, Proceedings of the first International Conference on Industrial and Applied Mathematics(ICIAM 87), Paris, Van der Burg & Mattheij (eds.), CWI Tract, Vol. 36, Amsterdam: StichtingMathematisch Centrum, pp. 361–373, 1987.

4. R. Verstappen, An efficient solver for elastohydrodynamic lubrication problems, Proceedings 5thInternational Congress on Tribology (EUROTRIB 89), Helsinki, Holmberg & Nieminen (eds.),pp. 42–47, 1989.

5. R. Verstappen, Modeling in elastohydrodynamic lubrication: a variational approach, ProceedingsInternational Workshop on Mathematical Modeling in Lubrication, Vigo, Bayada et al. (eds.),pp. 130–135, 1991.

6. W. Cazemier, R.W.C.P. Verstappen & A.E.P. Veldman, DNS of turbulent flow in a driven cavityand their analysis using proper orthogonal decomposition, AGARD Conference Proceedings 551“Application of direct and large eddy simulation to transition and turbulence” Neilly-sur-Seine(France): AGARD/NATO, pp. 36/1–36/11, 1994.

7. R.W.C.P. Verstappen & A.E.P. Veldman, Direct numerical simulation of a 3D turbulent flowin a driven cavity at Re=10,000, Computational Fluid Dynamics ’94, Wagner et al. (eds.),Chichester: John Wiley & Sons, pp. 558–565, 1994.

8. W. Cazemier, R.W.C.P. Verstappen & A.E.P. Veldman, 3D proper orthogonal decomposition ofa driven cavity flow, Numerical Methods in Laminar and Turbulent Flows ’95, Vol IX, Part 1,C. Taylor & P. Durbetaki (eds.), Swansea: Pineridge Press, pp. 240–250, 1995.

9. R.W.C.P. Verstappen & A.E.P. Veldman, Data-parallel solution of the incompressible Navier-Stokes equations, High Performance Computing in Fluid Dynamics, P. Wesseling (ed.), Dor-drecht: Kluwer Academic Publishers, pp. 237–260, 1996.

10. W. Cazemier, R.W.C.P. Verstappen & A.E.P. Veldman, The stability of steady and periodicsolutions of a low-dimensional dynamical system for 2D driven cavity flows, Advances in Tur-bulence VI, S. Gavrilakis, L. Machiels and P.A. Monkewitz (eds.), Dordrecht: Kluwer AcademicPublishers, pp. 313–316, 1996.

11. R.W.C.P. Verstappen & A.E.P. Veldman, A fourth-order finite volume method for direct nu-merical simulation of turbulence at higher Reynolds numbers, Computational Fluid Dynamics’96, J.-A. Desideri et al. (eds.), Chichester: John Wiley & Sons, pp. 1073–1079, 1996.

12. R.W.C.P. Verstappen & A.E.P. Veldman, A comparison of low-order DNS, high-order DNSand LES, Direct and Large-Eddy Simulation II, J.-P. Chollet et al. (eds.), Dordrecht: KluwerAcademic Publishers, pp. 93–102, 1997.

13. R.W.C.P. Verstappen & A.E.P. Veldman, Fourth-order DNS of flow past a square cylinder: Firstresults, Direct and Large-Eddy Simulation II, J.-P. Chollet et al. (eds.), Dordrecht: KluwerAcademic Publishers, pp. 381–384, 1997.

14. R.W.C.P. Verstappen & A.E.P. Veldman, Numerical methods for DNS of flow past a squarecylinder, Proceedings 11th Symposium on Turbulent Shear Flows, Volume 3, P3-83 – P3-88,Grenoble, 1997.

15. R.W.C.P. Verstappen & A.E.P. Veldman, Direct numerical simulation of a flow in a channel withsurface mounted cubical obstacles, Proceedings of the 6th ERCOFTAC/IAHR/COST workshopon refined flow modeling, K. Hanjalic And S. Obi (eds.), Delft University of Technology, Delftpp. 113–117, 1997.

16. R.W.C.P. Verstappen & A.E.P. Veldman, DNS of flow past obstacles, Proceedings DNS andLES of Complex Flows, B. Geurts & H. Kuerten (eds.), Memorandum No. 1394, University ofTwente, Enschede, pp. 128–133, 1997.

17. R.W.C.P. Verstappen & A.E.P. Veldman, Data-Parallel DNS of turbulent flow, Parallel Compu-tational Fluid Dynamics, D.R. Emerson et al. (eds.), Amsterdam: Elsevier Science Publishers,pp. 617–624, 1998.

18. R.W.C.P. Verstappen & A.E.P. Veldman, Spectro-consistent computations of ERCOFTAC test-case 6.2, Proceedings of the 7th ERCOFTAC/IAHR/COST workshop on refined flow modelling,UMIST, Manchester, 1998.

19. A.E.P. Veldman & R.W.C.P. Verstappen, Spectro-consistent discretization with application tothe simulation of turbulent flow, Numerical Methods for Fluid Dynamics VI, M.J. Baines (ed.),Oxford: Will Print, pp. 539–545, 1998.

20. R.W.C.P. Verstappen & A.E.P. Veldman, Progress on DNS of flow past a square cylinder, JointINI/ERCOFTAC Workshop on Direct and Large-Eddy Simulation, Cambridge, 1999.

21. R.M. van der Velde, R.W.C.P. Verstappen and A.E.P. Veldman, Turbulent flow and heat trans-fer in a channel with surface-mounted cubical obstacles, Proc. 8th ERCOFTAC/IAHR/COSTWorkshop on Refined Turbulence Modelling, Helsinki, A. Hellsten and P. Rautaheimo (eds.) pp.39–45, 1999.

22. R.W.C.P. Verstappen, R.M. van der Velde & A.E.P. Veldman, DNS of turbulent flow and heattransfer in a channel with surface mounted cubes, Proceedings ECCOMAS 2000, Barcelona, E.Onate, G. Bugeda and B. Suarez (eds.), 2000.

23. R.W.C.P. Verstappen & A.E.P. Veldman, Numerical computation of a viscous flow around acircular cylinder on a Cartesian grid, Proceedings ECCOMAS 2000, Barcelona, E. Onate, G.Bugeda and B. Suarez (eds.), 2000.

24. R.W.C.P. Verstappen, R.A. Trompert & A.E.P. Veldman, Direct numerical simulation on ashared-memory computer, Proceedings ECCOMAS CFD 2001, Swansea, K. Morgan and N.P.Weatherill (eds.), 2001.

25. R.W.C.P. Verstappen, On the accuracy of symmetry-preserving discretization, Direct and Large-eddy Simulation IV, B.J. Geurts, R. Friedrich and O. Metais (eds.), Kluwer Academic Publisher,pp. 21–28, 2001.

26. R.W.C.P. Verstappen & A.E.P. Veldman, Direct numerical simulation of turbulence using symmetry-preserving discretization, DNS/LES Progress and Challenges, C. Liu, L. Sakell, T. Beutner(eds.), Columbus (Ohio): Greyden Press, pp. 207–218, 2001.

27. R.W.C.P. Verstappen & A.E.P. Veldman, Symmetry-preserving discretization of turbulent chan-nel flow, High-Performance Scientific and Engineering Computing, M. Breurer, F. Durst, C.Zenger (eds.), Lecture Notes in Computational Science and Engineering, Vol. 21, Berlin:Springer-Verlag, pp. 107–114, 2002.

28. R.W.C.P. Verstappen & R.A. Trompert, Direct numerical simulation of turbulence on a SGIOrigin 3800, Parallel Computational Fluid Dynamics - Practice and Theory, P. Wilders, A.Ecer, J. Periaux and N. Satofuka (eds.), Elsevier Science Publishers, pp. 365–372, 2002.

29. M.T. Droge & R.W.C.P. Verstappen, A Cartesian DNS of flow around a circular cylinder, Ad-vances in Turbulence IX, I.P. Castro, P.E. Hancock and T.G. Thomas (eds.), ISBN 84-95999-07-2,CIMNE, Barcelona, pp. 854, 2002.

30. Roel Verstappen, Computing a turbulent square cylinder wake, Proceedings of the third Confer-ence on Bluff Body Wakes and Vortex Induced Vibration (BBVIV3), K. Hourigan, T. Leweke,M.C. Thompson and C.H.K. Williamson (eds.) ISBN 07326-2108-9 (hardcopy volume) 07326-2108-8 (CDROM), Monash University, Melbourne, Australia, pp. 84–88, 2002.

31. R.W.C.P. Verstappen, M.T. Droge and A.E.P. Veldman, Symmetry-preserving discretizationfor DNS, Direct and Large-Eddy Simulation V, R. Friedrich, B.J. Geurts and O. Metais (eds.),Kluwer Academic Publishers, Dordrecht, pp. 135–146, 2004.

32. Roel Verstappen, A synthesis of similarity and eddy-viscosity models, Direct and Large-EddySimulation V, R. Friedrich, B.J. Geurts and O. Metais (eds.), Kluwer Academic Publishers,Dordrecht, pp. 89–96, 2004.

33. Roel Verstappen, A projective similarity/eddy-viscosity model for large-eddy simulation, In:Progress in Turbulence, J. Peinke, A. Kittel, S. Barth, M. Oberlack (eds.), Springer Proceedingin Physics, Vol. 101, ISBN 3-540-23216-8, pp. 219–222, 2005. -

34. Roel Verstappen, Conservative smoothers for turbulent convection: an alternative simulationshortcut, In: Turbulence and Shear Flow Phenomena 4, J.A.C. Humphrey, T.B. Gatski, J.K. Eaton,R. Friedrich, N. Kasagi and M.A. Leschziner (eds.), pp. 859–864, 2005.

35. A.J.A Kort, R.W.C.P. Verstappen, F.W. Wubs and A.E.P. Veldman, Fully conservative dis-cretizations for local grid refinement, Proceedings 3rd IASME/WSEAS International Confer-ence on Fluid Mechanics and Aerodynamics I. Hassan et al (eds.) ISBN: 960-8457-33-5, Corfu,Greece, 261–266, 2005.

36. Marc Droge & Roel Verstappen, A symmetry-preserving Cartesian-grid method for computingthe flow past a circular cylinder at Re=3,900, Proceedings Euromech Colloquium 469: Larg-EddySimulation of Complex Flows, N.A. Adams and M. Manhart (eds.), pp. 73–74, TU Dresden, 2005.

37. Roel Verstappen, Symmetry-preserving regularization of turbulent flow, Direct and Large-EddySimulation VI, Lamballais, E., Friedrich, R, Geurts, B.J and Metais, O. (Eds.) Springer-Verlag,ISBN: 1-4020-4909-9, pp. 143–150, 2006.

38. Roel Verstappen, Symmetry-preserving regularization modeling of turbulent channel flow, Pro-ceedings Conference on Turbulence and Interactions (TI2006), M. Deville, T.H. Le and P. Sagaut(eds.), Porquerolles, France (CD-ROM), 2006.

39. F.X. Trias, M. Soria, A. Oliva and R.W.C.P. Verstappen, Regularization models for the simula-tion of turbulence in a differentially heated cavity, Proceedings European Conference on Compu-tational Fluid Dynamics, ECCOMAS CFD 2006, P.Wesseling, E.Onate, J. Periaux (eds.), ISBN90-9020970-0, TU Delft, Netherlands (CD-ROM), 2006.

40. Roel Verstappen, Symmetry-preserving discretizations of the incompressible Navier-Stokes equa-tions, Proceedings European Conference on Computational Fluid Dynamics, ECCOMAS CFD2006, P.Wesseling, E.Onate, J. Periaux (eds.), ISBN 90-9020970-0, TU Delft, Netherlands (CD-ROM), 2006.

41. Roel Verstappen, Symmetry-preserving regularization modeling of turbulent channel flow, In:Oberlack, M., Khujadze, G., Guenther, S., Weller, T., Frewer, M., Peinke, J., Barth, S. (Eds.),Progress in Turbulence 2, Proceedings of the iTi Conference on Turbulence 2005, Spinger Pro-ceedings in Physics, Vol 109, ISBN: 987-3-540-32602-2, p.169–173, 2007.

42. Joop Helder and Roel Verstappen, On restraining the convective subgrid-scale production inBurgers’ equation, In: J. Palma and A. Silves Lopes (eds.) Advances in Turbulence XI Proc.11th European Turbulence Conf., Porto, Springer Proceedings in Physics, Vol 117, ISBN: 978-3-540-72603-6, p.737, 2007.

43. Joop Helder and Roel Verstappen, On restraining convective subgrid-scale production in Burgers’equation. Proc. 9th ICFD Conf. Numer. Methods Fluid Dyn., Reading (CD-Rom) paper 40,2007.

44. Roel Verstappen, On the inertial range of symmetry-preserving models for turbulence. In Jeltsch,R. et al. (eds.) Proc. 6th Int. Cong. on Industrial and Applied Math ICIAM07, paper 692,(CD-ROM) ETH Zurich, 2007.

45. F.X. Trias, R.W.C.P. Verstappen, M. Soria, A. Gorobets and A. Oliva, Regularization mod-elling of a turbulent differentially heated cavity at Ra =1011, In: G.G.M. Stoffels, T.H. van derMeer and A.A. van Steenhoven (eds.) Proceedings 5th European Thermal-Sciences Conferences,Eurotherm 2008 CD-Rom, ISBN 976-90-386-1274-4, Eindhoven, The Netherlands, 2008.

46. F.X.Trias, R.Verstappen, M.Soria and A.Oliva, Symmetry-preserving regularization modellingof a turbulent differentially heated cavity, In: Proc. Conf. LES in Science and Technology,Poznan, 21-22 April 2008.

47. F.X Trias, M. Soria, A. Oliva and R.W.C.P. Verstappen, Modelling and discretizing a turbulentdifferentially heated cavity at Ra=1011, In Proceedings EUROMECH Colloquium 504: LargeEddy Simulation for Aerodynamics and Aeroacoustics, Munich, (eds. M. Manhart and C. Brun)CDROM, 3 pages, 2009

48. F.X Trias, A. Gorobets, R.W.C.P. Verstappen, M. Soria, and A. Oliva, Turbulent flow around awall-mounted cube: direct numerical simulation and regularization modelling, Parallel Compu-tational Fluid Dynamics, Recent Advances and Future Directions, (Rupak Biswas ed.) Elsevier,pp. 483–496, 2009.

49. F.X. Trias, M. Soria, A. Gorobets, and R.W.C.P. Verstappen, Parameter-free modelling of aturbulent differentially heated cavity with Ra-number up to 1011. , Turbulence Heat and MassTransfer 6, (eds. K. Hanjalic, Y. Nagana and S. Jakirlic), Begell House Inc. New York, ISBN978-1-56700-262-1, pp. 523–527, 2009.

50. F.X. Trias, R.W.C.P. Verstappen, M. Soria, and A. Oliva, Parameter-free symmetry-preservingregularization modelling of turbulent natural convection flows. In Proceedings 2th InternationalConference on Turbulence and Interactions Martinique, (CD-ROM) 7 pages, 2009.

51. R. Verstappen, When does eddy viscosity damp subfilter scales sufficiently?, In ProceedingsQuality and Reliability of Large-Eddy Simulations (QLES2009), (eds. M. Vittoria Salvetti etal.) Pisa, 10 pages, 2009.

52. F.X. Trias, A.Gorobets, A. Oliva and R. Verstappen, Turbulent flow in a differentially heatedcavity: direct numerical simulation and regularization modeling, Proceedings of the 14th Inter-national Heat Transfer Conferences IHTC14, ASME, Washington DC, USA, 10 pages, 2010.

53. Roel Verstappen, When does eddy viscosity restrict the dynamics to large eddies?, Proceed-ings 5th European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010, J.C.F.Pereira and A. Sequeria (Eds), Lisbon, Portugal, 15 pages (CD-ROM), 2010.

54. Roel Verstappen, Regularizations of turbulent flow, Proceedings 5th European Conference onComputational Fluid Dynamics ECCOMAS CFD 2010, J.C.F. Pereira and A. Sequeria (Eds),Lisbon, Portugal, 14 pages (CD-ROM), 2010.

55. R.W.C.P. Verstappen and F.X. Trias, Symmetry-preserving regularization models of the Navier-Stokes equations, Proceedings 5th European Conference on Computational Fluid Dynamics EC-COMAS CFD 2010, J.C.F. Pereira and A. Sequeria (Eds), Lisbon, Portugal, 16 pages (CD-ROM), 2010.

56. F.X. Trias, A.V. Gorobets, R.W.C.P. Verstappen and A. Oliva, Regularization modeling ofwall-bounded turbulent flows, Proceedings 5th European Conference on Computational FluidDynamics ECCOMAS CFD 2010, J.C.F. Pereira and A. Sequeria (Eds), Lisbon, Portugal (CD-ROM), 2010.

57. J. Helder and R.W.C.P. Verstappen, On restraining convective subgrid-scale production in Burg-ers’ equation, Proceedings 5th European Conference on Computational Fluid Dynamics ECCO-MAS CFD 2010, J.C.F. Pereira and A. Sequeria (Eds), Lisbon, Portugal (CD-ROM), 2010.

58. Roel Verstappen, When does eddy viscosity damp subfilter scales sufficiently?, Proceedings 19thPolish National Fluid Dynamics Conference KKMP 2010, Poznan, Poland (CD-ROM), 2010.

59. R.W.C.P. Verstappen, S.T. Bose, J. Lee, H. Choi and P. Moin, A dynamic eddy-viscosity modelbased on the invariants of the rate-of-strain, Proceedings of the Summer Program 2010, Centerfor Turbulence Research, Stanford University, pp. 183–192, 2010See also: www.stanford.edu/group/ctr/Summer/SP10/index.html

60. Roel Verstappen, An eddy-viscosity model based on the invariants of the rate-of-strain tensor,Proceedings iTi 2010 Conference on Turbulence, 2010.

61. O. Lehmkuhl, R. Borell, C.D. Perez-Segarra, A. Olivia, R. Verstappen, LES modeling of theturbulent flow over an Ahmed car, Direct and Large-Eddy Simulation VIII, pp. 89–94, Springer,2011.

62. R. Verstappen, An eddy-viscosity model based on the invariants of the rate-of-strain tensor,Direct and Large-Eddy Simulation VIII, pp. 83–88, Springer, 2011.

63. F.X. Trias, A. Gorobets, A. Oliva and R. Verstappen, Regularization modeling of buoyancy-driven flows, Direct and Large-Eddy Simulation VIII, pp. 21–26, Springer, 2011.

64. Roel Verstappen, When does eddy viscosity damp subfilter scales sufficiently?, In M.V. Salvetti etal. (eds), Quality and Reliability of Large-Eddy Simulations II, ERCOFTAC Series 16, Springer,pp. 421–430, 2011.

65. J.E. Jaramillo and R.W.C.P. Verstappen, Numerical study of a turbulent lid-driven cavity flow.Models assessment. Conference on Modelling Fluid Flow (CMFF), Proceedings 15th Int. Conf.on Fluid Flow Technologies, Budapest, Hungary, Sep 4-7, 2012.

66. F.X. Trias, R. Verstappen, A. Gorobets, A. Oliva, Regularization modeling of turbulent naturalconvection flows, Proceedings 6th European Thermal Sciences Conference, EUROTHERM 2012,Poitiers, 8 pages, Sep 4-7, 2012.

67. F.X. Trias, A. Gorobets, R. Verstappen, A. Oliva, Spectrally-consistent regularization modelingat very high Raleigh numbers, Proceedings 7th International Conference on Turbulence Heatand Mass Transfer, Palermo, Sicily, Begell House, 2012.

68. P. van der Plas, H.J.L. van der Heiden, A.E.P. Veldman, R. Luppes, R.W.C.P. Verstappen,Efficiently simulating viscous flow effects by means of regularization turbulence modeling andlocal grid refinement, Proceedings European Congress on Computational Methods in AppliedSciences and Engineering (ECCOMAS 2012) J. Eberhardsteiner et al. (eds.), Vienna, Sept.10-14, 2012.

69. P. van der Plas, H.J.L. van der Heiden, A.E.P. Veldman, R. lLuppes, R.W.C.P. Verstappen, Ef-ficiently simulating viscous flow effects by means of regularization turbulence modeling and localgrid refinement, Proceedings 7th International Conference on Computational Fluid Dynamics(ICCFD7), Hawaii, July 9–13, paperno. ICCFD7-2503, 2012.

70. H. Bandringa, R. Verstappen, F. Wubs, C. Klaij, A. v.d. Ploeg, On novel simulation methodsfor complex flow in maritime applications, Proceedings NuTTS Symposium, (6 pages), 2012.

71. Roel Verstappen On a consistent scale-truncation model for large eddy simulation, ProceedingsEuropean Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS2012) J. Eberhardsteiner et al. (eds.), Vienna, Sept. 10-14, (12 pages), 2012.

72. W. Rozema, R.W.C.P. Verstappen, J.C. Kok and A.E.P. Veldman, A symmetry-preserving dis-cretization and regularization subgrid model for compressible turbulent flow, Proceedings Directand Large Eddy Simulation DLES 9 (6 pages), 2013.

73. F.X. Trias, A. Gorobets, A. Oliva, R.W.C.P. Verstappen, New differential filters for large eddysimulation and regularization modeling, Proceedings Direct and Large Eddy Simulation DLES 9(6 pages), 2013.

74. Roel Verstappen, On scale separation in large eddy simulation, Proceedings Direct and LargeEddy Simulation DLES 9 (10 pages), 2013.

75. W. Rozema, J.C. Kok, R.W.C.P. Verstappen and A.E.P. Veldman, A symmetry-preserving dis-cretization and regularization subgrid model for compressible turbulent flow, Proceedings TSFP8, Poitiers, 2013.

Other publications

1. R. Verstappen, Elastohydrodynamic lubrication: a dynamic variation method, Ph.D. Thesis,University of Twente, Enschede, 196 pp, 1989

2. G. van Beek, E.M. Vijfvinkel, R.W.C.P. Verstappen & A.E.P. Veldman, Evaluation of the directnumerical simulation program LTDC3D, National Aerospace Laboratorium NLR Report, NLRCR 93402 L, 73 pp, 1993.

3. Roel Verstappen, Waarom wiskunde? Ik studeer toch scheikunde!, Euclides, Vol 70 (8), pp.270–272, 1995.

4. Arthur Veldman and Roel Verstappen, Turbulentie, golfballetjes en discrete afgeleiden, NieuwArchief voor Wiskunde 5/2 nr. 4, pp. 342–347, 2001.

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