Entropy-stable multidimensional summation-by-parts discretizations on \textit{hp}-adaptive curvilinear grids for hyperbolic conservation laws
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Publication:2177929
DOI10.1007/s10915-020-01169-1OpenAlexW3009250455MaRDI QIDQ2177929
Siavosh Shadpey, David W. Zingg
Publication date: 7 May 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01169-1
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Related Items (8)
A free-energy stable p-adaptive nodal discontinuous Galerkin for the Cahn-Hilliard equation ⋮ Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators ⋮ An entropy-stable discontinuous Galerkin approximation of the Spalart-Allmaras turbulence model for the compressible Reynolds averaged Navier-Stokes equations ⋮ Energy stable and accurate coupling of finite element methods and finite difference methods ⋮ An entropy-stable p-adaptive nodal discontinuous Galerkin for the coupled Navier-Stokes/Cahn-Hilliard system ⋮ Mortar-based entropy-stable discontinuous Galerkin methods on non-conforming quadrilateral and hexahedral meshes ⋮ Entropy-stable multidimensional summation-by-parts discretizations on \textit{hp}-adaptive curvilinear grids for hyperbolic conservation laws ⋮ Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws
Cites Work
- High order finite difference methods for the wave equation with non-conforming grid interfaces
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- Review of summation-by-parts schemes for initial-boundary-value problems
- Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations
- Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
- A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
- On the symmetric form of systems of conservation laws with entropy
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- Conservation equations of gasdynamics in curvilinear coordinate systems
- An entropy stable \(h/p\) non-conforming discontinuous Galerkin method with the summation-by-parts property
- Conservative and stable degree preserving SBP operators for non-conforming meshes
- On discretely entropy conservative and entropy stable discontinuous Galerkin methods
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- Output-based space-time mesh optimization for unsteady flows using continuous-in-time adjoints
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
- Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements
- Stable, non-dissipative, and conservative flux-reconstruction schemes in split forms
- Simultaneous approximation terms for multi-dimensional summation-by-parts operators
- A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
- On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
- A history of Runge-Kutta methods
- Entropy-stable multidimensional summation-by-parts discretizations on \textit{hp}-adaptive curvilinear grids for hyperbolic conservation laws
- Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates
- 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
- Entropy-stable schemes for the Euler equations with far-field and wall boundary conditions
- An optimization-based framework for anisotropic simplex mesh adaptation
- Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
- Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes
- Metric identities and the discontinuous spectral element method on curvilinear meshes
- Stable Coupling of Nonconforming, High-Order Finite Difference Methods
- Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier--Stokes Equations
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- A counterexample to well-posedness of entropy solutions to the compressible Euler system
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
- Generalized Summation-by-Parts Operators for the Second Derivative
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
- Interaction of a shock with a longitudinal vortex
- Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
- High‐order CFD methods: current status and perspective
- A kinetic energy preserving nodal discontinuous Galerkin spectral element method
- Efficient Entropy Stable Gauss Collocation Methods
- Global Ill‐Posedness of the Isentropic System of Gas Dynamics
- Systems of conservation laws
- Systems of Conservation Equations with a Convex Extension
- Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
- Hyperbolic Conservation Laws in Continuum Physics
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