Characterization of Numerical Dissipation of PPM and WENO Schemes
Abstract
For compressible fluid flow simulations, shock-capturing schemes (such as TVD, ENO, PPM, and FCT) selectively add numerical dissipation to prevent or limit oscillations near discontinuities. In general, the numerical dissipation is dependent on the grid resolution and damps smooth high frequency features as well as discontinuities, and because it is highly nonlinear, its effects on the flowfield are difficult to determine. This work seeks to quantify the numerical dissipation of the weighted ENO and PPM schemes using several techniques, ranging from numerical experiments with simple, idealized equations to extracting diagnostic data from full-physics simulations.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 2000
- Bibcode:
- 2000APS..DFD.BE002W