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what's the best way to solve the energy equation?

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Old   April 22, 1999, 22:29
Default what's the best way to solve the energy equation?
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I try to solve the energy equation(2D),including the convective term and maximum Pe is about 50,000. I have used the ADI method, however, the time step has to be very very small for large Pe. I also followed the split formulation, which is given by Fletcher on "computational techniques for fluid dynamics" . Although the method is said to be unconditional stable (I think it is for uniform grid), I still have to use small time step to get reasonable result. Is there anybody who knows the better way to solve such porblem? Thank you.
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Old   April 26, 1999, 13:18
Default Re: what's the best way to solve the energy equation?
Patrick Godon
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Hi There!

Why don't you try to use the multigrid method to solve your 2D flow implicitly in time? Multigrid methods are also easily implemented on massively parallel machine.

See for example:

Press and Teukolsky, 1991, in Computers in Physics (sep/oct 1991) page 514-519 and also (Nov/Dec 1991) page 626-629

and the references therein.

Cheers, Patrick.
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