![Page 1: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/1.jpg)
Mesh Generation Tutorial 1Instituto Tecnológico de Veracruz 21-25 January 2008
Fathi El-YafiSenior Product Engineer
Product Department of EXA Corporation
An Introduction to Mesh Generation An Introduction to Mesh Generation AlgorithmsAlgorithms
Part 2Part 2
![Page 2: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/2.jpg)
Mesh Generation Tutorial 2Instituto Tecnológico de Veracruz 21-25 January 2008
Overview
Remeshing
Decimation
Optimization
Adaptive Meshing:
![Page 3: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/3.jpg)
Mesh Generation Tutorial 3Instituto Tecnológico de Veracruz 21-25 January 2008
Finite Element Context
Method:Calculating the density of the mesh from a tree QuaternaryNodal generation within each cell of the treeMeshing by advancing front method according to a
criterion of Delaunay
Objective:2D Adaptive Mesh according to the specifications sizes imposed by the user
Adaptive Meshing
![Page 4: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/4.jpg)
Mesh Generation Tutorial 4Instituto Tecnológico de Veracruz 21-25 January 2008
Finite Element Context
In computer science, a B+ tree (also known as a Quaternary Tree) is a type of tree, which represents sorted data in a way that allows for efficient insertion, retrieval and removal of records, each of which is identified by a key. It is a dynamic, multilevel index, with maximum and minimum bounds on the number of keys in each index segment (usually called a block' or node'). In a B+ tree, in contrast to a B+ tree, all records are stored at the lowest level of the tree; only keys are stored in interior blocks.
Quaternary Tree
![Page 5: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/5.jpg)
Mesh Generation Tutorial 5Instituto Tecnológico de Veracruz 21-25 January 2008
Finite Element Context
Remeshing a Polygon
n points
Possible Remeshing?
?
![Page 6: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/6.jpg)
Mesh Generation Tutorial 6Instituto Tecnológico de Veracruz 21-25 January 2008
Finite Element Context
Principle
=
=
=
![Page 7: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/7.jpg)
Mesh Generation Tutorial 7Instituto Tecnológico de Veracruz 21-25 January 2008
Finite Element Context
Principle
Tn =
n(n − 1)(n − 2)6
It shows that we can create Tndifferent triangles
n nodes lead to n-2 triangles
=
120845635201041
109876543
N=10, 1430 possible triangulations!
![Page 8: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/8.jpg)
Mesh Generation Tutorial 8Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
State of the Art
Methods that use the surface parameterization:
Appropriate Plane + transport functions
Appropriate Plane + Metric: INRIA
Discrete Models:
Very Refined Initial Mesh + Simplifications
Reconstruction:
• Direct Method: Frontal Triangulation (R. Löhner)
• Remeshing: HDI (A. Rassineux)
![Page 9: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/9.jpg)
Mesh Generation Tutorial 9Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Typical Examples
![Page 10: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/10.jpg)
Mesh Generation Tutorial 10Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Adaptive Meshing using Diffuse InterpolationObjective: Building an adaptive mesh of a 3D surface according to size map, using the initial mesh as only data
Initial Mesh
Local geometric model
Diffuse Interpolation
Hermite type
Adaptive mesh
Remeshing Procedure
![Page 11: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/11.jpg)
Mesh Generation Tutorial 11Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Remeshing
![Page 12: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/12.jpg)
Mesh Generation Tutorial 12Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Some Remeshing Tools
Edge splitting
Swapping
Nodal Shifting
Node removing
Edge collapsing
Edge collapsing and nodal insertion
![Page 13: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/13.jpg)
Mesh Generation Tutorial 13Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Remeshing
Remeshing according to a size map
Simplification of a mesh (70%)
![Page 14: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/14.jpg)
Mesh Generation Tutorial 14Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Remeshing
Initial Mesh Intermediate Mesh Optimized Mesh
![Page 15: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/15.jpg)
Mesh Generation Tutorial 15Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Surface Remeshing
Initial Mesh
Optimized Mesh
![Page 16: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/16.jpg)
Mesh Generation Tutorial 16Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Surface Remeshing
Reduction: 60%Reduction: 75%
Initial model
Adapted to curvature
![Page 17: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/17.jpg)
Mesh Generation Tutorial 17Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Surface Meshing
Adapted to curvature
Simplified model
![Page 18: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/18.jpg)
Mesh Generation Tutorial 18Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Simplified Curvature
In a plane 360iθ = °∑
Θ1
Θ2
Of all the triangles 360iα ≥ °∑
αι
default angle = f (Gaussian Curvature)( ) =∆=−∑ θθα ii
![Page 19: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/19.jpg)
Mesh Generation Tutorial 19Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Feature Lines Detection
![Page 20: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/20.jpg)
Mesh Generation Tutorial 20Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Feature Lines Detection
Curvature using Diffuse Interpolation Model
(a) (b)
Identification of geometrical parameters (radius, axis)
Detecting neighborhood
![Page 21: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/21.jpg)
Mesh Generation Tutorial 21Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Principal Curvatures
Segmentation into subsets
Surface Identification
Detection of Feature lines
Meshing
![Page 22: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/22.jpg)
Mesh Generation Tutorial 22Instituto Tecnológico de Veracruz 21-25 January 2008…
Adaptive Mesh
ExampleSegmentation into subsets
Surface Identification
Detection of Feature lines
Meshing
![Page 23: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/23.jpg)
Mesh Generation Tutorial 23Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Main Steps
…
![Page 24: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/24.jpg)
Mesh Generation Tutorial 24Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
![Page 25: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/25.jpg)
Mesh Generation Tutorial 25Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Diffuse Model
xz
y
αα TPyxyxyxyxfz =>=<= 22 ,,,,,1),(Local model
MLS Technique : Diffuse approximationMinimisation of an interpolation criterion
( ) ( )( )21
1 ),( iiT
ni
iix zxxpxxwJ −−×= ∑
=
=αα
![Page 26: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/26.jpg)
Mesh Generation Tutorial 26Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Moving Least Squares
( ) ( )2 21, , , , , ,T Tx y x xy y p x y p x< >= =Polynomial Base
( )( )2
1( ) ( )
i nT
x i ii
J p x x f x xα α=
=
= − − −∑
n = Total number of points ⇒ «standard» Least Squares
X
Z
R
Select a neighbor V(x) around a point(x,y)
( )( )2
( )( ) ( )T
x i ii V x
J p x x f x xα α∈
= − − −∑
⇒ The approximation is local
![Page 27: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/27.jpg)
Mesh Generation Tutorial 27Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Weighted Moving Least Squares
( ) ( )( )2
( )( ) ( )T
x i i ii V x
J w x x p x x f x xα α∈
= − − − −∑
Weight Function
/R d l)l()-l(,x)w(x
w,x)w(x
ii
iii
xRxxi
refi
=+×=
=
−
avec 211 2
)(
![Page 28: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/28.jpg)
Mesh Generation Tutorial 28Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Moving Least Squares Interpolation
[ ]
−
→),(1
),(),(xxw
xxwxxwi
ii
( ) ( )( )2
( )( ) ( )T
x i i ii V x
J w x x p x x f x xα α∈
= − − − −∑
If w(x,xi)→∞⇒ interpolation at point xi
![Page 29: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/29.jpg)
Mesh Generation Tutorial 29Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
CAD-STL Face Per Face
![Page 30: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/30.jpg)
Mesh Generation Tutorial 30Instituto Tecnológico de Veracruz 21-25 January 2008
Finite Element Context
STL/Mesh/Adaptive Mesh
STL Mesh
Mesh Face per Face Adaptive Mesh
![Page 31: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/31.jpg)
Mesh Generation Tutorial 31Instituto Tecnológico de Veracruz 21-25 January 2008
STL/Adaptive Mesh
STL Mesh
Adaptive Mesh
Adaptive Mesh
![Page 32: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/32.jpg)
Mesh Generation Tutorial 32Instituto Tecnológico de Veracruz 21-25 January 2008
CAD/Adaptive Meshes
Adaptive Mesh
![Page 33: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/33.jpg)
Mesh Generation Tutorial 33Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Mesh Details
![Page 34: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/34.jpg)
Mesh Generation Tutorial 34Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Feature Lines
![Page 35: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/35.jpg)
Mesh Generation Tutorial 35Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Surface Remeshing
Initial model Simplified model
![Page 36: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/36.jpg)
Mesh Generation Tutorial 36Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Surface Remeshing
![Page 37: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/37.jpg)
Mesh Generation Tutorial 37Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Surface Remeshing
Initial Mesh
Adaptive Mesh
![Page 38: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/38.jpg)
Mesh Generation Tutorial 38Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Surface Remeshing
![Page 39: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/39.jpg)
Mesh Generation Tutorial 39Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Repairing Surface Mesh
![Page 40: An Introduction to Mesh Generation Algorithms Part 2dynadata.com/ITVER/Elementos Finitos/Diapositivas/4-ReMeshing-Tu… · Instituto Tecnológico de Veracruz 21-25 January 2008Mesh](https://reader034.vdocument.in/reader034/viewer/2022050301/5f6a7b5669d5f74db4796054/html5/thumbnails/40.jpg)
Mesh Generation Tutorial 40Instituto Tecnológico de Veracruz 21-25 January 2008
Adaptive Mesh
Demonstrations