High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting

DOI10.1016/j.jcp.2023.112677arXiv2306.12663MaRDI QIDQ6187653

Jesse Chan, Yimin Lin

Publication date: 31 January 2024

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

Full work available at URL: https://arxiv.org/abs/2306.12663

zbMATH Keywords

hyperbolic conservation lawshigh orderdiscontinuous Galerkinentropy stableDGSEMsubcell limiting

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Cites Work

• A minimum entropy principle of high order schemes for gas dynamics equations
• On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
• Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations
• Fully multidimensional flux-corrected transport algorithms for fluids
• On maximum-principle-satisfying high order schemes for scalar conservation laws
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• On discretely entropy conservative and entropy stable discontinuous Galerkin methods
• Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
• Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements
• A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
• Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems
• Subcell limiting strategies for discontinuous Galerkin spectral element methods
• A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations
• Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations
• Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization
• Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting
• On discretely entropy stable weight-adjusted discontinuous Galerkin methods: curvilinear meshes
• Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
• Limiters for high-order discontinuous Galerkin methods
• Numerical simulation of high Mach number astrophysical jets with radiative cooling
• Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws
• A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations
• Strong Stability-Preserving High-Order Time Discretization Methods
• A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
• Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
• Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems
• Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
• Simplified Second-Order Godunov-Type Methods
• High‐order CFD methods: current status and perspective
• Discrete-Variable Extremum Problems
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
• A flux-differencing formulation with Gauss nodes

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