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Old   February 28, 2005, 14:35
Default advection schemes HELP
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I am doing a little bit of research on some basic advection schemes, and getting a bit confused - i need to know why an upwind scheme is more numerically stable than the Van Leer scheme. Is it because the Van Leer scheme requires iteration?

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Old   February 28, 2005, 16:12
Default Re: advection schemes HELP
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I'm not sure I understand your question. The most basic Van Leer scheme is a flux vector splitting scheme which is an upwind scheme. As I recall, flux-vector splitting schemes suffer from being only first-order accurate and requiring homogeneous flux vector functions. They are however fairly stable (with proper care taken at sonic points). What upwind scheme are you comparing to flux vector splitting?
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