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Are backward scheme and the upwind scheme the same thing in FDM?

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Old   August 29, 2012, 10:03
Question Are backward scheme and the upwind scheme the same thing in FDM?
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lnk
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lnk
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Hi everyone,

Are backward scheme and the upwind scheme the same thing in FDM?

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lnk
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Old   August 30, 2012, 02:38
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Hi, not exactly. The upwind scheme uses the nodes located upstream (hence the name "upwind") to calculate the gradients. This is, depending on the value of the velocity, the upwind scheme might be a backward scheme (positive velocity, flow goes from left to right) or forward scheme (negative velocity, flow goes from right to left).

The same goes for the south and north nodes.

Have a look at the book "Numerical heat transfer and fluid flow" by S. Patankar, it is all in there.

Cheers,
Michujo.
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