On the design of high order residual-based dissipation for unsteady compressible flows

Abstract

The numerical dissipation operator of residual-based compact (RBC) schemes of high accuracy is identified and analysed for hyperbolic systems of conservation laws. A necessary and sufficient condition (v-criterion) is found that ensures dissipation in 2-D and 3-D for any order of the RBC scheme. Numerical applications of RBC schemes of order 3, 5 and 7 to a… (More)
DOI: 10.1016/j.jcp.2012.10.053

Topics

6 Figures and Tables

Cite this paper

@article{Lerat2013OnTD, title={On the design of high order residual-based dissipation for unsteady compressible flows}, author={Alain Lerat and K. Grimich and Pasquale Cinnella}, journal={J. Comput. Physics}, year={2013}, volume={235}, pages={32-51} }