High-order maximum-principle-preserving and positivity-preserving weighted compact nonlinear schemes for hyperbolic conservation laws
Sign Up to like & getrecommendations! Published in 2019 at "Applied Mathematics and Mechanics"
DOI: 10.1007/s10483-020-2554-8
Abstract: In this paper, the maximum-principle-preserving (MPP) and positivity-preserving (PP) flux limiting technique will be generalized to a class of high-order weighted compact nonlinear schemes (WCNSs) for scalar conservation laws and the compressible Euler systems in… read more here.
Keywords: order; weighted compact; maximum principle; principle preserving ... See more keywords
Positivity-Preserving Discontinuous Galerkin Methods with Lax–Wendroff Time Discretizations
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DOI: 10.1007/s10915-016-0291-9
Abstract: This work introduces a single-stage, single-step method for the compressible Euler equations that is provably positivity-preserving and can be applied on both Cartesian and unstructured meshes. This method is the first case of a single-stage,… read more here.
Keywords: order; discontinuous galerkin; positivity; time ... See more keywords
A positivity-preserving finite volume scheme for convection–diffusion equation on general meshes
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DOI: 10.1080/00207160.2021.1910943
Abstract: A new positivity-preserving finite volume scheme is proposed for solving the convection–diffusion equation on 2D or 3D distorted meshes. The nonlinear two-point flux approximation is applied to the discretization of diffusion flux. The discretization of… read more here.
Keywords: convection; positivity preserving; diffusion; convection diffusion ... See more keywords
Application of Positivity-Preserving Discontinuous Galerkin Scheme in Gaseous Detonations
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DOI: 10.1142/s0219876217500050
Abstract: In numerical simulation of gaseous detonation, due to the complexity of the computational domain, negative density and pressure often emerge in high resolution numerical computing, which leads to blow-ups. The paper provides high order discontinuous… read more here.
Keywords: application positivity; preserving discontinuous; discontinuous galerkin; positivity ... See more keywords