Finite Volume HWENO Schemes for Nonconvex Conservation Laws

@article{Cai2018FiniteVH,
  title={Finite Volume HWENO Schemes for Nonconvex Conservation Laws},
  author={Xiaofeng Cai and Jianxian Qiu and Jing-Mei Qiu},
  journal={Journal of Scientific Computing},
  year={2018},
  volume={75},
  pages={65-82}
}
Following the previous work of Qiu and Shu (SIAM J Sci Comput 31: 584–607, 2008), we investigate the performance of Hermite weighted essentially non-oscillatory (HWENO) scheme for nonconvex conservation laws. Similar to many other high order methods, we show that the finite volume HWENO scheme performs poorly for some nonconvex conservation laws. We modify the scheme around the nonconvex regions, based on a first order monotone scheme and a second entropic projection, to ensure entropic… Expand
2 Citations
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