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

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