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What's the difference between a 1D transient and 2D model
Posted May 1, 2012, 6:59 p.m. EDT Results & Visualization, Studies & Solvers 1 Reply
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Hi,
I've got a fairly easy 1D transient model I'm going to be working on over the next few days. Looking ahead to the solution, I already know that I'm going to want to make a 2D plot of the Temperature with "x" on one axis and "t" on the other.
I've seen almost exactly that in one of the sample COMSOL problems somewhere, and my dim recollection is that particular problem was not solved as a temperature transient, but as a non-transient 2D PDE.
Which raises the question then:: what are the advantages and disadvantages of solving a transport equation as a transient function of "x", or as a generic 2D PDE in x,t
Appreciate any feedback from people that have tried it both ways around. I am guessing that it'll come down to solvers, preconditioners, and the like.
Regards, John
I've got a fairly easy 1D transient model I'm going to be working on over the next few days. Looking ahead to the solution, I already know that I'm going to want to make a 2D plot of the Temperature with "x" on one axis and "t" on the other.
I've seen almost exactly that in one of the sample COMSOL problems somewhere, and my dim recollection is that particular problem was not solved as a temperature transient, but as a non-transient 2D PDE.
Which raises the question then:: what are the advantages and disadvantages of solving a transport equation as a transient function of "x", or as a generic 2D PDE in x,t
Appreciate any feedback from people that have tried it both ways around. I am guessing that it'll come down to solvers, preconditioners, and the like.
Regards, John
1 Reply Last Post May 2, 2012, 9:52 a.m. EDT
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Posted:
1 decade ago
So far the space-time discretization is working leaps and bounds better than the transient 1D. In particular, seems to handle propagation of shocks in a more stable fashion...
Reading some industry papers, what seems to be really cool is discontinuous Galerkin space-time.
Has anyone tried to build such a thing yet?? For my application I can smooth the initial data and only have gentle shock-waves and everything converges beautifuly. But sooner or later....
Reading some industry papers, what seems to be really cool is discontinuous Galerkin space-time.
Has anyone tried to build such a thing yet?? For my application I can smooth the initial data and only have gentle shock-waves and everything converges beautifuly. But sooner or later....