CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > Software User Forums > OpenFOAM

Problem implementing CVODE ODE solver

Register Blogs Community New Posts Updated Threads Search

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   August 9, 2007, 12:53
Default Hello, I am trying to imple
  #1
Senior Member
 
Markus Rehm
Join Date: Mar 2009
Location: Erlangen (Germany)
Posts: 184
Rep Power: 17
markusrehm is on a distinguished road
Hello,

I am trying to implement the CVODE stiff ode solver of the Sundials package to solve the chemistry with the reactingFoam solver.

I modified the EulerImplicit-files and put in the CVODE-stuff. Now that I'm almost ready I have a problem executing reactingFoam. Compilation of the libchemistryModel.so works fine but the solver gives me an error when I want to execute it:

reactingFoam: symbol lookup error: /home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined symbol: _ZN4Foam5CVODE1fEdP17_generic_N_VectorS2_Pv

There must be something missing in the wmake rules which I don't understand very well. By the way: N_Vector is a data type used by CVODE.

I am using 64bit architecture and gcc4 (standard of OF 1.4).

Hoping for help, regards Markus.
markusrehm is offline   Reply With Quote

Old   August 13, 2007, 07:04
Default Hi Markus! Can't help you o
  #2
Assistant Moderator
 
Bernhard Gschaider
Join Date: Mar 2009
Posts: 4,225
Rep Power: 51
gschaider will become famous soon enoughgschaider will become famous soon enough
Hi Markus!

Can't help you on your concrete problem. But you can use the c++filt-command to find out which C++-symbol is actually missing. Your symbol (_ZN4Foam5CVODE1fEdP17_generic_N_VectorS2_Pv) is for instance translated to Foam::CVODE::f(double, _generic_N_Vector*, _generic_N_Vector*, void*) (don't know if that helps)

Bernhard
__________________
Note: I don't use "Friend"-feature on this forum out of principle. Ah. And by the way: I'm not on Facebook either. So don't be offended if I don't accept your invitation/friend request
gschaider is offline   Reply With Quote

Old   August 14, 2007, 11:10
Default Thank you Bernhard, it help
  #3
Senior Member
 
Markus Rehm
Join Date: Mar 2009
Location: Erlangen (Germany)
Posts: 184
Rep Power: 17
markusrehm is on a distinguished road
Thank you Bernhard,

it helped me a bit to dig deeper into the problem. But anyway I need to ask again:
The thing is that I am able to compile the libchemistryModel.so but when I want to compile the solver (reactingFoam) i get:

-----------------------
g++ -m64 -Dlinux64 -DDP -Wall -Wno-strict-aliasing -Wextra -Wno-unused-parameter -Wold-style-cast -O0 -fdefault-inline -ggdb3 -DFULLDEBUG -DNoRepository -ftemplate-depth-40 -I../XiFoam -I/home/rem/OpenFOAM/OpenFOAM-1.4_devel/src/finiteVolume/lnInclude -I/home/rem/OpenFOAM/OpenFOAM-1.4_devel/src/turbulenceModels -I/home/rem/OpenFOAM/OpenFOAM-1.4_devel/src/thermophysicalModels/specie/lnInclud e -I/home/rem/OpenFOAM/OpenFOAM-1.4_devel/src/thermophysicalModels/combustion/lnIn clude -I/home/rem/OpenFOAM/OpenFOAM-1.4_devel/src/thermophysicalModels/basic/lnInclude -I/home/rem/OpenFOAM/OpenFOAM-1.4_devel/src/thermophysicalModels/chemistryModel/ lnInclude -I/home/rem/OpenFOAM/OpenFOAM-1.4_devel/src/ODE/lnInclude -IlnInclude -I. -I/home/rem/OpenFOAM/OpenFOAM-1.4_devel/src/OpenFOAM/lnInclude -fPIC Make/linux64Gcc4DPDebug/reactingFoam.o -L/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug \
-lcompressibleTurbulenceModels -lcombustionThermophysicalModels -lfiniteVolume -lspecie -lbasicThermophysicalModels -lchemistryModel -lODE -lOpenFOAM -liberty -ldl -ggdb3 -DFULLDEBUG -lm -o /home/rem/OpenFOAM/OpenFOAM-1.4_devel/applications/bin/linux64Gcc4DPDebug/reacti ngFoam
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `CVDense'
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `CVodeSetMaxNumSteps'
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `CVodeMalloc'
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `CVode'
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `Foam::CVODE::f1(double, _generic_N_Vector*, _generic_N_Vector*, void*)'
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `CVDenseSetJacFn'
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `N_VNew_Serial'
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `CVodeFree'
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `CVodeCreate'
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `CVodeSetFdata'
/home/rem/OpenFOAM/OpenFOAM-1.4_devel/lib/linux64Gcc4DPDebug/libchemistryModel.s o: undefined reference to `N_VDestroy_Serial'
collect2: ld gab 1 als Ende-Status zurück
make: *** [/home/rem/OpenFOAM/OpenFOAM-1.4_devel/applications/bin/linux64Gcc4DPDebug/react ingFoam] Fehler 1
-----------------------

So the header files of the CVODE are found since chemistryModel can be compiled. CVODE is C-Code and there were more undefined references before I fixed warnings resulting from old-style casts.

I keep on digging. But help is appreciated anyway.

Have a nice day Markus.
markusrehm is offline   Reply With Quote

Old   August 15, 2007, 13:40
Default Hi Marcus! Don't shoot me:
  #4
Assistant Moderator
 
Bernhard Gschaider
Join Date: Mar 2009
Posts: 4,225
Rep Power: 51
gschaider will become famous soon enoughgschaider will become famous soon enough
Hi Marcus!

Don't shoot me: this is a bit vague:
I assume that you added the files to Make/files. There may be an issue that your CV***-symbols are not found because in the *.o the C-compiler prepended an underscore to them (making them _CV***). Best way to check for that is to have a look with "objdump -t" at the *.o-file that is supposed to define them

(this may be totally wrong. I just remember having such a problem when mixing C/C++/Fortran)
__________________
Note: I don't use "Friend"-feature on this forum out of principle. Ah. And by the way: I'm not on Facebook either. So don't be offended if I don't accept your invitation/friend request
gschaider is offline   Reply With Quote

Old   August 21, 2007, 10:23
Default Marcus, I noticed that your
  #5
Member
 
E. David Huckaby
Join Date: Mar 2009
Posts: 57
Rep Power: 17
david_h is on a distinguished road
Marcus,

I noticed that your compilation line did not include the CVODE/Sundials libraries or paths.
Have you tried including these ?

Dave
david_h is offline   Reply With Quote

Old   August 21, 2007, 11:17
Default hi markus, i am pretty inte
  #6
Senior Member
 
Stephan Gerber
Join Date: Mar 2009
Location: Germany
Posts: 118
Rep Power: 17
stephan is on a distinguished road
hi markus,

i am pretty interested in your solver implementation so it would be very nice if you could share the source.
regards
stephan
stephan is offline   Reply With Quote

Old   August 21, 2007, 11:55
Default Hello everyone, thanks for
  #7
Senior Member
 
Markus Rehm
Join Date: Mar 2009
Location: Erlangen (Germany)
Posts: 184
Rep Power: 17
markusrehm is on a distinguished road
Hello everyone,

thanks for helping and encouraging! Dave you are right, I included the libraries. It is still not running well and I am still thinking why.

I had a look at Cantera and for CVODE they use virtual C++ wrapper functions for all CVODE-functions. Is that necessary? - Maybe anyone knows.
I will keep you up to date about that thing (mostly posting problems, I'm afraid). But when it works I can share it.

Have a nice day. Markus
markusrehm is offline   Reply With Quote

Old   August 24, 2007, 06:10
Default Hello everyone, it works an
  #8
Senior Member
 
Markus Rehm
Join Date: Mar 2009
Location: Erlangen (Germany)
Posts: 184
Rep Power: 17
markusrehm is on a distinguished road
Hello everyone,

it works and it seems to be very stable.

I want to play around a bit more, make it more readible and check results before I post it.

Thanks to you. Markus
markusrehm is offline   Reply With Quote

Old   January 4, 2008, 08:57
Default Hello, I have worked with t
  #9
Senior Member
 
Markus Rehm
Join Date: Mar 2009
Location: Erlangen (Germany)
Posts: 184
Rep Power: 17
markusrehm is on a distinguished road
Hello,

I have worked with that solver some time now and for my test-cases it gives the same results as EulerImplicit or the other solvers. The warnings I didn't get rid of up to now but in CVODE.C:198 there is an instruction missing:

N_VDestroy_Serial(abstol);

Any further improvements and comments are welcome.

Regards Markus.
markusrehm is offline   Reply With Quote

Old   April 7, 2008, 22:05
Default Hi Markus ! I tried your CV
  #10
Member
 
victor
Join Date: Mar 2009
Location: mexico city, MX
Posts: 50
Rep Power: 17
torvic is on a distinguished road
Hi Markus !

I tried your CVODE_solver and followed the instructions in the .txt file.It compiles, but when executing reactingFoam, i get many errors.

I installed again SUNDIALS, but noticed in the configure step this line:

---------
.
.
checking dynamic linker characteristics... cat: /etc/ld.so.conf.d/*.conf: No such file or directory
GNU/Linux ld.so

----------

and when executing reactingFoam i get (just a part of the message)

----------
Solving chemistry
*** glibc detected *** reactingFoam: free(): invalid pointer: 0x0824ac00 ***
======= Backtrace: =========
/lib/libc.so.6[0xb6c4b6e1]
/lib/libc.so.6(cfree+0x89)[0xb6c4cd79]
/usr/lib/libstdc++.so.6(_ZdlPv+0x21)[0xb6e0df81]
/usr/lib/libstdc++.so.6(_ZdaPv+0x1d)[0xb6e0dfdd]
reactingFoam(_ZN4Foam5FieldIdEaSERKS1_+0x4f)[0x8070abf]
/home/foam/OpenFOAM/OpenFOAM-1.4/lib/linuxGcc4DPOpt/libchemistryModel.so(_ZNK4Fo am14chemistryModel11derivativesEdRKNS_5FieldIdEERS 2_+0x6f)[0xb724e88f]
/home/foam/OpenFOAM/OpenFOAM-1.4/lib/linuxGcc4DPOpt/libchemistryModel.so(_ZN4Foa m5CVODE2f2EdP17_generic_N_VectorS2_+0xb8)[0xb726a078]
/home/foam/OpenFOAM/OpenFOAM-1.4/lib/linuxGcc4DPOpt/libchemistryModel.so(_ZN4Foa m5CVODE2f1EdP17_generic_N_VectorS2_Pv+0x26)[0xb7269df6]
reactingFoam(CVode+0x6b5)[0x80ba295]
/home/foam/OpenFOAM/OpenFOAM-1.4/lib/linuxGcc4DPOpt/libchemistryModel.so(_ZNK4Fo am5CVODE5solveERNS_5FieldIdEEdddd+0x275)[0xb726a955]
/home/foam/OpenFOAM/OpenFOAM-1.4/lib/linuxGcc4DPOpt/libchemistryModel.so(_ZN4Foa m14chemistryModel5solveEdd+0x9fb)[0xb725049b]
reactingFoam[0x806119c]
/lib/libc.so.6(__libc_start_main+0xdc)[0xb6bfcf9c]
reactingFoam(_ZN4Foam11regIOobject14readIfModified Ev+0x201)[0x8059741]
======= Memory map: ========
08048000-080dc000 r-xp 00000000 03:06 3434128 /home/foam/OpenFOAM/OpenFOAM-1.4/applications/bin/linuxGcc4DPOpt/reactingFoam
080dc000-080de000 r--p 00093000 03:06 3434128 /home/foam/OpenFOAM/OpenFOAM-1.4/applications/bin/linuxGcc4DPOpt/reactingFoam
080de000-080df000 rw-p 00095000 03:06 3434128 /home/foam/OpenFOAM/OpenFOAM-1.4/applications/bin/linuxGcc4DPOpt/reactingFoam
080df000-085f5000 rw-p 080df000 00:00 0 [heap]
b6300000-b6321000 rw-p b6300000 00:00 0
.
.
.
-------

what do you suggest ?, i'm on opensuse 10.2 in OF 1.4

thanks in advance

best

V
torvic is offline   Reply With Quote

Old   April 9, 2008, 03:47
Default Hi Victor, I had similar er
  #11
Senior Member
 
Markus Rehm
Join Date: Mar 2009
Location: Erlangen (Germany)
Posts: 184
Rep Power: 17
markusrehm is on a distinguished road
Hi Victor,

I had similar errors and then I had something mixed up with the sundials libaries. So check options and files in the make-directory.

Actually better than what I explained in the text would be to introduce an environment variable $SUNDIALS_PATH and configure SUNDIALS with that like

./configure --enable-shared --prefix=$SUNDIALS_PATH

My options options-file looks like that:

EXE_INC = \
-I$(LIB_SRC)/finiteVolume/lnInclude \
-I$(LIB_SRC)/thermophysicalModels/thermophysicalFunctions/lnInclude \
-I$(LIB_SRC)/thermophysicalModels/combustion/lnInclude \
-I$(LIB_SRC)/thermophysicalModels/basic/lnInclude \
-I$(LIB_SRC)/thermophysicalModels/specie/lnInclude \
-I$(LIB_SRC)/turbulenceModels/compressible/lnInclude \
-I$(LIB_SRC)/ODE/lnInclude \
-I$(SUNDIALS_PATH)/include

LIB_LIBS = \
-lbasicThermophysicalModels \
-lcombustionThermophysicalModels \
-lthermophysicalFunctions \
-lspecie \
-lODE

Another error I recently found is this one:

Just replace the lines in the function f2 in CVODE.C before the first for-command (lines 220-223) by

int NEQ= chemistry_.Ns()+2;

Foam::scalarField ctemp(NEQ, 0.0);
Foam::scalarField dcdt(NEQ, 0.0);


Regards Markus.
markusrehm is offline   Reply With Quote

Old   April 10, 2008, 13:11
Default Hi Markus thanks for your
  #12
Member
 
victor
Join Date: Mar 2009
Location: mexico city, MX
Posts: 50
Rep Power: 17
torvic is on a distinguished road
Hi Markus

thanks for your help and time.

I followed your suggestions and now it works ... thanks. One thing that I
didn't notice yesterday was a typing error in the options file.

the warnings i get in chemistryModel are these:
--------------------------------------------------------------

chemistrySolver/CVODE/CVODE.C: In member function 'virtual Foam::scalar
Foam::CVODE::solve(Foam::scalarField&, Foam::scalar, Foam::scalar,
Foam::scalar, Foam::scalar) const':
chemistrySolver/CVODE/CVODE.C:119: warning: use of old-style cast
chemistrySolver/CVODE/CVODE.C:120: warning: use of old-style cast
chemistrySolver/CVODE/CVODE.C:124: warning: use of old-style cast
chemistrySolver/CVODE/CVODE.C:125: warning: use of old-style cast
chemistrySolver/CVODE/CVODE.C:126: warning: use of old-style cast
chemistrySolver/CVODE/CVODE.C:127: warning: use of old-style cast
chemistrySolver/CVODE/CVODE.C:193: warning: use of old-style cast
chemistrySolver/CVODE/CVODE.C: In member function 'virtual void
Foam::CVODE::f2(realtype, _generic_N_Vector*, _generic_N_Vector*)':
chemistrySolver/CVODE/CVODE.C:223: warning: use of old-style cast
chemistrySolver/CVODE/CVODE.C:230: warning: use of old-style cast
chemistrySolver/CVODE/CVODE.C: In member function 'virtual void
Foam::CVODE::Jac2(long int, _DenseMat*, realtype, _generic_N_Vector*,
_generic_N_Vector*)':
chemistrySolver/CVODE/CVODE.C:253: warning: use of old-style cast
chemistrySolver/CVODE/CVODE.C:258: warning: use of old-style cast

---------------------------------------------------------------------

I'm really interested in CVODE since with FOAM's ODE SIBS, i get "step
size underflow" messages with the large heptane mechanism that comes with
FOAM (56 species, 290 reactions).. and my simulations stops.

thanks again

best

V
torvic is offline   Reply With Quote

Old   August 9, 2009, 10:13
Default
  #13
Senior Member
 
Karl-Johan Nogenmyr
Join Date: Mar 2009
Location: Linköping
Posts: 279
Rep Power: 21
kalle is on a distinguished road
Marcus, I've been searching for your CVODE-solver, but without success. Is it available for testing?

Regards,
Kalle
kalle is offline   Reply With Quote

Old   August 26, 2009, 17:20
Default Newbie questions
  #14
New Member
 
newToReactions
Join Date: Aug 2009
Posts: 1
Rep Power: 0
newToReactions is on a distinguished road
I am new to combustion. I need to model species transport with laminar finite rate. Can you suggest a good place to start reading the fundamentals (real basics)? When do I need CVODE solver?

Thanks in advance.

JC

PS: Markus, I sent a PM to you earlier.
newToReactions is offline   Reply With Quote

Old   September 7, 2009, 00:42
Default
  #15
Senior Member
 
Markus Rehm
Join Date: Mar 2009
Location: Erlangen (Germany)
Posts: 184
Rep Power: 17
markusrehm is on a distinguished road
Hello,

you can try to run some demos in Cantera:
http://groups.google.com/group/cantera-users

It uses CVODE and you don't have to care about it a lot.

To use it with OF have a look here
http://www.cfd-online.com/Forums/ope...1-cantera.html

Theoretical basics you can learn from

@book{poinsot2005theoretical,
title={{Theoretical and numerical combustion}},
author={Poinsot, T. and Veynante, D.},
year={2005},
publisher={RT Edwards, Inc.}
}


Regards, Markus
markusrehm is offline   Reply With Quote

Old   April 5, 2010, 12:12
Default
  #16
Member
 
Aleksey Rukhlenko
Join Date: Nov 2009
Location: Moscow
Posts: 55
Rep Power: 17
Aleksey_R is on a distinguished road
Send a message via ICQ to Aleksey_R
Hello, colleagues!
I try to use CVODE in my OF program to solve ODE instead of standard OF solvers.
I managed to compile source code but when I start numerical simulation I get at first try to use CVODE solver the following:

#0 Foam::error:rintStack(Foam::Ostream&) in "/home/Aleksey/OpenFOAM/OpenFOAM-1.6/lib/linux64GccDPOpt/libOpenFOAM.so"
#1 Foam::sigFpe::sigFpeHandler(int) in "/home/Aleksey/OpenFOAM/OpenFOAM-1.6/lib/linux64GccDPOpt/libOpenFOAM.so"
#2 ?? in "/lib64/libc.so.6"
#3 CVSetTqBDF at ~/OpenFOAM/ThirdParty-1.6/sundials-2.4.0/src/cvode/./cvode.c:2501
#4 CVode at ~/OpenFOAM/ThirdParty-1.6/sundials-2.4.0/src/cvode/./cvode.c:1386
#5 main in "/home/Aleksey/OpenFOAM/Aleksey-1.6/applications/bin/linux64GccDPOpt/coagulationTask"
#6 __libc_start_main in "/lib64/libc.so.6"
#7 _start at /usr/src/packages/BUILD/glibc-2.9/csu/../sysdeps/x86_64/elf/start.S:116
Исключение в операции с плавающей точкой

The last line means: "Floating point exception", sorry for Russian :-)

All CVODE-initialization procedures are successfully passed during program run.
Values that enter the solver are small (~1e-2) because it's only first step.

Please, help me with this problem.
Markus, I've been trying to find your CVODE implementation and I failed.
Please tell me, where can I find it.

Best regards, Aleksey.
Aleksey_R is offline   Reply With Quote

Old   April 8, 2010, 22:55
Default cantera installation error
  #17
New Member
 
Arvind
Join Date: Mar 2009
Posts: 13
Rep Power: 17
arvind_arya is on a distinguished road
Hi,
I am trying to install cantera-1.7.0 with sundials-2.3.0.But while executing make generates following error..
Please suggest me the way to solve this problem

n file included from CVodesIntegrator.cpp:9:
CVodesIntegrator.h:31:39: error: sundials/sundials_nvector.h: No such file or directory
CVodesIntegrator.cpp:29:37: error: sundials/sundials_types.h: No such file or directory
CVodesIntegrator.cpp:30:36: error: sundials/sundials_math.h: No such file or directory
CVodesIntegrator.cpp:32:36: error: nvector/nvector_serial.h: No such file or directory
CVodesIntegrator.cpp:33:27: error: cvodes/cvodes.h: No such file or directory
CVodesIntegrator.cpp:34:33: error: cvodes/cvodes_dense.h: No such file or directory
CVodesIntegrator.cpp:35:32: error: cvodes/cvodes_diag.h: No such file or directory
CVodesIntegrator.cpp:36:33: error: cvodes/cvodes_spgmr.h: No such file or directory
CVodesIntegrator.cpp:37:32: error: cvodes/cvodes_band.h: No such file or directory

Regards
Arvind
arvind_arya is offline   Reply With Quote

Old   April 9, 2010, 05:30
Default
  #18
Senior Member
 
Markus Rehm
Join Date: Mar 2009
Location: Erlangen (Germany)
Posts: 184
Rep Power: 17
markusrehm is on a distinguished road
Hi Arvind,

please specify your problem more precisely.

Do you want to install the alternateChemistry library? (described here http://www.cfd-online.com/Forums/ope...1-cantera.html )

Then the post is a bit off-topic.

Regards, Markus.
markusrehm is offline   Reply With Quote

Old   April 9, 2010, 06:31
Default
  #19
New Member
 
Arvind
Join Date: Mar 2009
Posts: 13
Rep Power: 17
arvind_arya is on a distinguished road
Thank you for reply....Yes i want to use alternateReactingfoam. I understood, it requires sundials(CVODE) and cantera after reading your previous postings.I am following your wiki guide instructions.I have installed sundials-2.3.0 in thirdparty.Then i tried to install cantera-1.7...while executing "make" i got earlier mentioned error.I am using OpenFOAM-1.5-dev installed on mandriva-2010.

Regards
Arvind
arvind_arya is offline   Reply With Quote

Old   April 9, 2010, 06:38
Default
  #20
Senior Member
 
Markus Rehm
Join Date: Mar 2009
Location: Erlangen (Germany)
Posts: 184
Rep Power: 17
markusrehm is on a distinguished road
Hi,

you should use cantera-1.8 from the google-code repository as described in the wiki. I also had some problems with the old version.

Markus
markusrehm is offline   Reply With Quote

Reply


Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
Implementing special K-eps with UDF Sergio Rossi FLUENT 2 November 26, 2008 12:44
Implementing new bcbs srinath OpenFOAM 3 September 3, 2008 06:11
Problem implementing DETAILED REACTION MECHANISM Phil FLUENT 0 May 5, 2007 12:38
Some questions about implementing a new solver eric OpenFOAM Running, Solving & CFD 4 November 27, 2006 11:04
CVODE Error message Robert FLUENT 2 February 12, 2003 19:28


All times are GMT -4. The time now is 21:25.