Positivity-preserving high-order discontinuous Galerkin schemes for ten-moment Gaussian closure equations

DOI10.1016/j.jcp.2017.03.024zbMath1380.65282OpenAlexW2597037285MaRDI QIDQ1685658

Praveen Chandrashekar, Harish Kumar, Asha Kumari Meena

Publication date: 14 December 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.03.024

zbMATH Keywords

balance lawshyperbolic conservation lawspositivity preserving schemesdiscontinuous Galerkin schemesten-moment equations

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations ⋮ Entropy stable schemes for ten-moment Gaussian closure equations ⋮ Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes ⋮ Robust numerical schemes for two-fluid ten-moment plasma flow equations ⋮ A well-balanced scheme for ten-moment Gaussian closure equations with source term ⋮ Positivity-preserving finite difference WENO scheme for ten-moment equations with source term

Uses Software

• HE-E1GODF

Cites Work

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• On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
• Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
• An entropy preserving relaxation scheme for ten-moments equations with source terms
• On maximum-principle-satisfying high order schemes for scalar conservation laws
• An HLLC scheme for ten-moments approximation coupled with magnetic field
• Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
• TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
• Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23--28, 1997
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Moment closure hierarchies for kinetic theories.
• A well-balanced scheme for ten-moment Gaussian closure equations with source term
• Numerical approximation of hyperbolic systems of conservation laws
• Strong Stability-Preserving High-Order Time Discretization Methods
• Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
• Numerical approximations of the 10-moment Gaussian closure
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Total-Variation-Diminishing Time Discretizations
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• The Gaussian Moment Closure for Gas Dynamics
• Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations

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