Dispersion-dissipation condition for finite difference schemes

Details Dispersion-dissipation condition for finite difference schemes Dispersion-dissipation condition for finite difference schemes

2012-04-23

arxiv.org/abs/1204.5088v1

Physics

Fluid Dynamics

11 pages, 2 figures

Scientific paper

In this short note, by analyzing the dispersion and dissipation of explicit finite difference scheme, a dispersion-dissipation condition is derived to determine the minimum dissipation required to damp the artificial high-wavenumber waves in the solution. The example application to our previous developed WENO-CU6-M2 scheme suggests that this condition can be used as an general guidance on optimizing the dissipation of a numerical scheme.

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