• Corpus ID: 238583744

Implicit gradients based novel conservative numerical scheme for compressible flows

@article{Chamarthi2021ImplicitGB,
  title={Implicit gradients based novel conservative numerical scheme for compressible flows},
  author={Amareshwara Sainadh Chamarthi and Abhishek Chintagunta and Natan Hoffmann and Hiroaki Nishikawa and Steven H. Frankel},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.05461}
}
This paper introduces a novel approach to compute the numerical fluxes at the cell boundaries for a cellcentered conservative numerical scheme. Explicit gradients used in deriving the reconstruction polynomials are replaced by high-order gradients computed by compact finite differences, referred to as implicit gradients in this paper. The new approach has superior dispersion and dissipation properties in comparison to the compact reconstruction approach. A problem-independent shock capturing… 

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