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Page 1: FLUENT - Ferdowsi University of Mashhadprofdoc.um.ac.ir/articles/a/1014196.pdf · (Reynlods Stress Model ) RSM (Large Eddy Simulation ) LES Realizable k- ... Donor Euler ExplicitImplicit
Page 2: FLUENT - Ferdowsi University of Mashhadprofdoc.um.ac.ir/articles/a/1014196.pdf · (Reynlods Stress Model ) RSM (Large Eddy Simulation ) LES Realizable k- ... Donor Euler ExplicitImplicit
Page 3: FLUENT - Ferdowsi University of Mashhadprofdoc.um.ac.ir/articles/a/1014196.pdf · (Reynlods Stress Model ) RSM (Large Eddy Simulation ) LES Realizable k- ... Donor Euler ExplicitImplicit

www.RDT.ir

FLUENT

[email protected]

[email protected]

, [email protected] , [email protected]

FLUENT

Gambit

FLUENT

RNGVOF

RNGVOF FLUENT

Page 4: FLUENT - Ferdowsi University of Mashhadprofdoc.um.ac.ir/articles/a/1014196.pdf · (Reynlods Stress Model ) RSM (Large Eddy Simulation ) LES Realizable k- ... Donor Euler ExplicitImplicit

www.RDT.ir

.

.

.

.

Wu

Rajaratnam

][Liu

][Chippada

Poisson][Zhao

][Gonzalez

Bombardelli

k-

LES

.

Liu )

(

.

Flow-3D

][

FLUENT

FLUENT

(CFD)

C

][

Page 5: FLUENT - Ferdowsi University of Mashhadprofdoc.um.ac.ir/articles/a/1014196.pdf · (Reynlods Stress Model ) RSM (Large Eddy Simulation ) LES Realizable k- ... Donor Euler ExplicitImplicit

www.RDT.ir

FLUENT:

Spalart-Allmaras

(Reynlods Stress Model ) RSM

(Large Eddy Simulation ) LES

k-

k-(Renormalization group) RNG k-Realizable k-

:k-k-

k-(Shear Stress Transport ) SST

(Detached Eddy Simulation) DES

][][

0i

i

x

pu

t

P

i

j

j

it

jiji

j

i

x

u

x

u

xx

puu

xt

pu '

tiuixt'p

3

2' kpp

pk

k

bkik

t

i

GGx

k

xDt

Dk

kCGGG

kC

xxDt

Dbk

i

t

i

2

231 )(

bGkG

tk

2kCt

Page 6: FLUENT - Ferdowsi University of Mashhadprofdoc.um.ac.ir/articles/a/1014196.pdf · (Reynlods Stress Model ) RSM (Large Eddy Simulation ) LES Realizable k- ... Donor Euler ExplicitImplicit

www.RDT.ir

09.0Ck0.1k

1344.11C92.12Cu

C tanh3

k RNGkk

bki

ffki

GGx

k

xDt

Dk

Rk

CGGGk

CxxDt

Dbk

iff

i

2

231 )(

k42.11C68.12C

ff

CRRNG

][

(Volume Of Fluid) VOF

VOFHirt , Nichols][

qq

0qq1q

q10 qq

q

q

0k

qk

j

qj

i

qi

q

xu

xu

xu

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Page 7: FLUENT - Ferdowsi University of Mashhadprofdoc.um.ac.ir/articles/a/1014196.pdf · (Reynlods Stress Model ) RSM (Large Eddy Simulation ) LES Realizable k- ... Donor Euler ExplicitImplicit

www.RDT.ir

VOFFLUENTImplicitEuler ExplicitDonor

AcceptorGeometric Reconstruction

Liu][

y1

R1Q(L/s)Y2(mm)F1U1(m/s)Y1(mm)Expt.118,57054.9171.62.01.67711147,68068.62162.52.0871286,10040.01653.322.10413

GAMBIT

Quad-map

Page 8: FLUENT - Ferdowsi University of Mashhadprofdoc.um.ac.ir/articles/a/1014196.pdf · (Reynlods Stress Model ) RSM (Large Eddy Simulation ) LES Realizable k- ... Donor Euler ExplicitImplicit

www.RDT.ir

VOF

PISO PRESTO!

0

0.05

0.1

0.15

0.2

0 0.5 1 1.5 2

x(m)

y(m

)

Page 9: FLUENT - Ferdowsi University of Mashhadprofdoc.um.ac.ir/articles/a/1014196.pdf · (Reynlods Stress Model ) RSM (Large Eddy Simulation ) LES Realizable k- ... Donor Euler ExplicitImplicit

www.RDT.ir

0

0.04

0.08

0.12

0.16

0 0.3 0.6 0.9 1.2u(m/s)

y(m

)

0

0.04

0.08

0.12

0.16

0 0.3 0.6 0.9 1.2 1.5

u(m/s)

y(m

)

0

0.04

0.08

0.12

0.16

0 0.02 0.04 0.06 0.08 0.1Turbulence kinetic energy (m2/s2)

y (m

)

x=0.5 m x=1 m x=2 m

Page 10: FLUENT - Ferdowsi University of Mashhadprofdoc.um.ac.ir/articles/a/1014196.pdf · (Reynlods Stress Model ) RSM (Large Eddy Simulation ) LES Realizable k- ... Donor Euler ExplicitImplicit

www.RDT.ir

FLUENT

RNG k-(VOF)

FLUENT

[1] Chippada, S. Ramaswamy, B. and Wheeler, M.F., Numerical simulation of hydraulic jump , International Journal for Numerical Methods in Engineering, Vol. 37, No. 8, 1994, pp. 1381-1397.

[2] FLUENT Inc. Fluent User s Guide(2005). [3] Gonzalez, A. and Bombardelli, F., Two-Phase-Flow theoretical and numerical models for

hydraulic jumps, including air entrainment , Proceeding of the Congress- International Association for Hydraulic Research, Vol. 1, pp. 28-29, 2005.

[4] Hirt, C.W. and Nichols, B.D., Volume of fluid (VOF) method for the dynamics of free boundaries , Journal of Computational Physics, Vol. 39, jan 1981, pp. 201 225.

[5] Liu, M. Rajaratnam, N. and Zhu, D., Turbulence Structure of hydraulic jumps of low Froude number , Journal of Hydraulic Engineering, Vol. 130, No. 6, June 2004, pp. 512-520.

[6] WILCOX, D.C., Turbulence Modelling for CFD , DCW Industries, California, USA, 1994. [7] Wu, S. and Rajaratnam, N., Transition from hydraulic jump to open channel flow , Journal of

Hydraulic Engineering, Vol. 122, No. 9, September 1996, pp. 526-528. [8] Zhao, Q. Misra, S. Svendsen, I. and Kirby, J., Numerical study of a turbulent hydraulic jump ,

proc. 17th ASCE Engineering Mechanics Conference, University of Delaware, Newmark, 2004.