CELL-CENTERED LAGRANGIAN LAX-WENDROFF HLL HYBRID SCHEME ON UNSTRUCTURED MESHES

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...

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Veröffentlicht in:Acta polytechnica (Prague, Czech Republic : 1992) Czech Republic : 1992), 2021-01, Vol.61 (SI), p.68-76
Hauptverfasser: Fridrich, David, Liska, Richard, Tarant, Ivan, Váchal, Pavel, Wendroff, Burton
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Sprache:eng
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Zusammenfassung: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.
ISSN:1210-2709
1805-2363
DOI:10.14311/AP.2021.61.0068