von Neumann stability analysis for irregular meshes
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All the litterature I have come across about the von Neumann stability analysis is performned on regular grids. Can the analysis be performed analytically on irregular grids, or does it have to be done numerically?
Can you recommend some litterature on this topic?
pde numerical-methods fourier-analysis finite-differences
asked Dec 2 '13 at 15:13
BillyJean
207317
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All the litterature I have come across about the von Neumann stability analysis is performned on regular grids. Can the analysis be performed analytically on irregular grids, or does it have to be done numerically?
Can you recommend some litterature on this topic?
pde numerical-methods fourier-analysis finite-differences
asked Dec 2 '13 at 15:13
BillyJean
207317
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
All the litterature I have come across about the von Neumann stability analysis is performned on regular grids. Can the analysis be performed analytically on irregular grids, or does it have to be done numerically?
Can you recommend some litterature on this topic?
pde numerical-methods fourier-analysis finite-differences
asked Dec 2 '13 at 15:13
BillyJean
207317
All the litterature I have come across about the von Neumann stability analysis is performned on regular grids. Can the analysis be performed analytically on irregular grids, or does it have to be done numerically?
Can you recommend some litterature on this topic?
pde numerical-methods fourier-analysis finite-differences
asked Dec 2 '13 at 15:13
BillyJean
207317
asked Dec 2 '13 at 15:13
BillyJean
207317
asked Dec 2 '13 at 15:13
BillyJean
207317
asked Dec 2 '13 at 15:13
BillyJean
207317
207317
add a comment |Â
add a comment |Â
2 Answers
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Sorry to bring this question back from the grave. I'm assuming you've found your answer by now, but others may be interested.
In general, the time step for finite difference methods (also finite element methods) is limited by the smallest mesh size in your problem. So you carry out your von-Neumann stability analysis as usual, but use the smallest $h$ in your timestep calculation.
answered Apr 21 '14 at 13:46
Tyler Olsen
23114
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It is possible.
You may want to look at the error dynamics approach:
Sengupta, Tapan K., Anurag Dipankar, and Pierre Sagaut. "Error
dynamics: beyond von Neumann analysis." Journal of Computational
Physics 226.2 (2007): 1211-1218.
answered Aug 14 at 4:11
CatDog
264
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
Sorry to bring this question back from the grave. I'm assuming you've found your answer by now, but others may be interested.
In general, the time step for finite difference methods (also finite element methods) is limited by the smallest mesh size in your problem. So you carry out your von-Neumann stability analysis as usual, but use the smallest $h$ in your timestep calculation.
answered Apr 21 '14 at 13:46
Tyler Olsen
23114
add a comment |Â
up vote
1
down vote
Sorry to bring this question back from the grave. I'm assuming you've found your answer by now, but others may be interested.
In general, the time step for finite difference methods (also finite element methods) is limited by the smallest mesh size in your problem. So you carry out your von-Neumann stability analysis as usual, but use the smallest $h$ in your timestep calculation.
answered Apr 21 '14 at 13:46
Tyler Olsen
23114
add a comment |Â
up vote
1
down vote
up vote
1
down vote
Sorry to bring this question back from the grave. I'm assuming you've found your answer by now, but others may be interested.
In general, the time step for finite difference methods (also finite element methods) is limited by the smallest mesh size in your problem. So you carry out your von-Neumann stability analysis as usual, but use the smallest $h$ in your timestep calculation.
answered Apr 21 '14 at 13:46
Tyler Olsen
23114
Sorry to bring this question back from the grave. I'm assuming you've found your answer by now, but others may be interested.
In general, the time step for finite difference methods (also finite element methods) is limited by the smallest mesh size in your problem. So you carry out your von-Neumann stability analysis as usual, but use the smallest $h$ in your timestep calculation.
answered Apr 21 '14 at 13:46
Tyler Olsen
23114
answered Apr 21 '14 at 13:46
Tyler Olsen
23114
answered Apr 21 '14 at 13:46
Tyler Olsen
23114
answered Apr 21 '14 at 13:46
Tyler Olsen
23114
23114
add a comment |Â
add a comment |Â
up vote
1
down vote
It is possible.
You may want to look at the error dynamics approach:
Sengupta, Tapan K., Anurag Dipankar, and Pierre Sagaut. "Error
dynamics: beyond von Neumann analysis." Journal of Computational
Physics 226.2 (2007): 1211-1218.
answered Aug 14 at 4:11
CatDog
264
add a comment |Â
up vote
1
down vote
It is possible.
You may want to look at the error dynamics approach:
Sengupta, Tapan K., Anurag Dipankar, and Pierre Sagaut. "Error
dynamics: beyond von Neumann analysis." Journal of Computational
Physics 226.2 (2007): 1211-1218.
answered Aug 14 at 4:11
CatDog
264
add a comment |Â
up vote
1
down vote
up vote
1
down vote
It is possible.
You may want to look at the error dynamics approach:
Sengupta, Tapan K., Anurag Dipankar, and Pierre Sagaut. "Error
dynamics: beyond von Neumann analysis." Journal of Computational
Physics 226.2 (2007): 1211-1218.
answered Aug 14 at 4:11
CatDog
264
It is possible.
You may want to look at the error dynamics approach:
Sengupta, Tapan K., Anurag Dipankar, and Pierre Sagaut. "Error
dynamics: beyond von Neumann analysis." Journal of Computational
Physics 226.2 (2007): 1211-1218.
answered Aug 14 at 4:11
CatDog
264
answered Aug 14 at 4:11
CatDog
264
answered Aug 14 at 4:11
CatDog
264
answered Aug 14 at 4:11
CatDog
264
264
add a comment |Â
add a comment |Â
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