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)

@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}
}