Upwind Differencing, False Scaling, and Non-Physical Solutions to the Driven Cavity Problem.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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We show that for multi-dimensional viscous flow computations the use of upwind finite difference schemes can alter the natural length scales. This false scaling is related to, but distinct from, the artificial viscosity introduced by upwind schemes. We show that this false scaling can account for certain non-physical solutions which have been computed for the driven cavity problem.
- Numerical Mathematics
- Fluid Mechanics