Implicit gradients based conservative numerical scheme for compressible flows
Numerical Analysis
2023-02-28 v6 Numerical Analysis
Abstract
This paper introduces a novel approach to compute the numerical fluxes at the cell boundaries for a cell-centered 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. A problem-independent shock capturing approach via Boundary Variation Diminishing (BVD) algorithm is used to suppress oscillations for the simulation of flows with shocks and material interfaces. Several numerical test cases are carried out to verify the proposed method's capability using the implicit gradient method for compressible flows.
Keywords
Cite
@article{arxiv.2110.05461,
title = {Implicit gradients based conservative numerical scheme for compressible flows},
author = {Amareshwara Sainadh Chamarthi and Natan Hoffmann and Hiroaki Nishikawa and Steven H. Frankel},
journal= {arXiv preprint arXiv:2110.05461},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2106.01738