Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws
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Publication:6604147
DOI10.1145/3625559MaRDI QIDQ6604147
Florian J. Hindenlang, Michael Schlottke-Lakemper, Gregor J. Gassner, Hendrik Ranocha, Andrés Mauricio Rueda-Ramírez, Jesse Chan, Andrew R. Winters
Publication date: 12 September 2024
Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)
Cites Work
- Unnamed Item
- Unnamed Item
- Review of summation-by-parts schemes for initial-boundary-value problems
- A generalized framework for nodal first derivative summation-by-parts operators
- On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods
- Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
- Summation by parts for finite difference approximations for \(d/dx\)
- 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
- High order entropy conservative central schemes for wide ranges of compressible gas dynamics and MHD flows
- Comparison of some entropy conservative numerical fluxes for the Euler equations
- An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
- On the use of kinetic energy preserving DG-schemes for large eddy simulation
- Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements
- Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods
- Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
- A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
- Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators
- On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations
- High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: scalable SSDC algorithms and flow solver
- On the robustness and performance of entropy stable collocated discontinuous Galerkin methods
- Preventing spurious pressure oscillations in split convective form discretization for compressible flows
- A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics
- An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing
- Assessing standard and kinetic energy conserving volume fluxes in discontinuous Galerkin formulations for marginally resolved Navier-Stokes flows
- Encapsulated high order difference operators on curvilinear non-conforming grids
- FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws
- Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems
- Entropy-stable, high-order summation-by-parts discretizations without interface penalties
- Skew-symmetric entropy stable modal discontinuous Galerkin formulations
- A comparison of two entropy stable discontinuous Galerkin spectral element approximations for the shallow water equations with non-constant topography
- Summation-by-parts operators for correction procedure via reconstruction
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- 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
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- Julia: A Fresh Approach to Numerical Computing
- A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss–Lobatto Discontinuous Galerkin Spectral Element Methods
- Implementing Spectral Methods for Partial Differential Equations
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- 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
- Table-driven implementation of the logarithm function in IEEE floating-point arithmetic
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
- A kinetic energy preserving nodal discontinuous Galerkin spectral element method
- A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations
- Efficient Entropy Stable Gauss Collocation Methods
- Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
- Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
- Finite volume approximations and strict stability for hyperbolic problems
Related Items (4)
Multiderivative time integration methods preserving nonlinear functionals via relaxation ⋮ On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws ⋮ A Comparative Study of Different Sets of Variables in a Discontinuous Galerkin Method with Entropy Balance Enforcement ⋮ Efficient entropy-stable discontinuous spectral-element methods using tensor-product summation-by-parts operators on triangles and tetrahedra
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