High order entropy preserving ADER-DG schemes (Q2101926)

scientific article; zbMATH DE number 7627644

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English	High order entropy preserving ADER-DG schemes	scientific article; zbMATH DE number 7627644

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instance of

scholarly article

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title

High order entropy preserving ADER-DG schemes (English)

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Applied Mathematics and Computation

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publication date

7 December 2022

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full work available at URL

https://arxiv.org/abs/2206.03889

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zbMATH Keywords

hyperbolic conservation laws

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ADER

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discontinuous Galerkin

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entropy conservation/stability

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structure preserving

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relaxation method

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describes a project that uses

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The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I

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Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems

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A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations

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An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry

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Numerical Entropy and Adaptivity for Finite Volume Schemes

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Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

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Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations

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Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations

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Entropy stable schemes for compressible Euler equations

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Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements

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The BR1 scheme is stable for the compressible Navier-Stokes equations

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Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids

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Entropy-stable \(p\)-nonconforming discretizations with the summation-by-parts property for the compressible Navier-Stokes equations

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Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system

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An entropy-stable discontinuous Galerkin approximation for the incompressible Navier-Stokes equations with variable density and artificial compressibility

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Entropy stable finite volume scheme for ideal compressible MHD on 2-D Cartesian meshes

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An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model

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Entropy stable, robust and high-order DGSEM for the compressible multicomponent Euler equations

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Energy relaxation approximation for compressible multicomponent flows in thermal nonequilibrium

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A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes

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Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems

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Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems

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Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws

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Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

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Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces

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High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains

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Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions

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On the theoretical foundation of overset grid methods for hyperbolic problems. II: Entropy bounded formulations for nonlinear conservation laws

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Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows

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A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension

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Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics

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Positivity preserving and entropy consistent approximate Riemann solvers dedicated to the high-order MOOD-based finite volume discretization of Lagrangian and Eulerian gas dynamics

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Relaxation Runge--Kutta Methods: Conservation and Stability for Inner-Product Norms

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Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations

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Relaxation deferred correction methods and their applications to residual distribution schemes

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Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization

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Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws

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Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems

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Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers' equation using a polynomial chaos approach

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Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators

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ADER: Arbitrary high-order Godunov approach

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Towards very high order Godunov schemes

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A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

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A well-balanced path conservative SPH scheme for nonconservative hyperbolic systems with applications to shallow water and multi-phase flows

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ADER discontinuous Galerkin schemes for aeroacoustics

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Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes

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A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes

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On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations

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ADER methods for hyperbolic equations with a time-reconstruction solver for the generalized Riemann problem: the scalar case

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A posteriori subcell finite volume limiter for general \(P_NP_M\) schemes: applications from gasdynamics to relativistic magnetohydrodynamics

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High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension

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DeC and ADER: similarities, differences and a unified framework

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General relaxation methods for initial-value problems with application to multistep schemes

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On the symmetric form of systems of conservation laws with entropy

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High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes

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Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes -- speed comparisons with Runge-Kutta methods

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Q4158394

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Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods

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Stabilized residual distribution for shallow water simulations

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation

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Entropy stable method for the Euler equations revisited: central differencing via entropy splitting and SBP

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A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes

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Q4255380

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.AMC.2022.127644

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Sitelinks

Mathematics(1 entry)

mardi Publication:2101926