Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws

DOI10.1016/j.compfluid.2020.104742OpenAlexW3089704316MaRDI QIDQ2245262

Manuel Quezada de Luna, Dmitri Kuzmin

Publication date: 15 November 2021

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08788

zbMATH Keywords

continuous Galerkin methodhyperbolic conservation lawsentropy conservationhigh-order finite elementsentropy stabilizationsubcell flux limiting

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (11)

Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 -- March 6, 2021 (hybrid meeting) ⋮ Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations ⋮ Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws ⋮ Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping ⋮ Analysis of algebraic flux correction schemes for semi-discrete advection problems ⋮ Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws ⋮ Optimal control using flux potentials: a way to construct bound-preserving finite element schemes for conservation laws ⋮ Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems ⋮ Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems ⋮ An arbitrary high order and positivity preserving method for the shallow water equations ⋮ Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws

Uses Software

• MFEM

Cites Work

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