Open AccessCELL-CENTERED LAGRANGIAN LAX-WENDROFF HLL HYBRID SCHEME ON UNSTRUCTURED MESHES
Author(s) -
David Fridrich,
Richard Liška,
Ivan Tarant,
Pavel Váchal,
Burton Wendroff
Publication year - 2021
Publication title -
acta polytechnica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.207
H-Index - 15
eISSN - 1805-2363
pISSN - 1210-2709
DOI - 10.14311/ap.2021.61.0068
Subject(s) - polygon mesh , volume mesh , scalar (mathematics) , mathematics , lagrangian , quadrilateral , convergence (economics) , dissipation , polygon (computer graphics) , geometry , mathematical optimization , computer science , mesh generation , finite element method , physics , telecommunications , frame (networking) , economics , thermodynamics , economic growth
We have recently introduced a new cell-centered Lax-Wendroff HLL hybrid scheme for Lagrangian hydrodynamics [Fridrich et al. J. Comp. Phys. 326 (2016) 878-892] with results presented only on logical rectangular quadrilateral meshes. In this study we present an improved version on unstructured meshes, including uniform triangular and hexagonal meshes and non-uniform triangular and polygonal meshes. The performance of the scheme is verified on Noh and Sedov problems and its second-order convergence is verified on a smooth expansion test.Finally the choice of the scalar parameter controlling the amount of added artificial dissipation is studied.