An optimized dispersion-relation-preserving combined compact difference scheme to solve advection equations

@article{Yu2015AnOD,
title={An optimized dispersion-relation-preserving combined compact difference scheme to solve advection equations},
author={C. H. Yu and Dong Wang and Z. He and T. P{\"a}htz},
journal={J. Comput. Physics},
year={2015},
volume={300},
pages={92-115}
}

In this study, we first present an improved version of the clas sic l sixth-order combined compact difference (CCD6) scheme to enhance the conve tive stability of advection equations through an increased dispersion accuracy. This i mproved fifth-order dispersionrelation-preserving combined compact difference scheme ( DRPCCD5) has been rigorously analyzed through the dispersion, phase speed anisotropy an d st bility analyses. We then couple the DRPCCD5 scheme with the previous fifth-order comp… CONTINUE READING