Entropy stable, robust and high-order DGSEM for the compressible multicomponent Euler equations
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Publication:2133015
DOI10.1016/j.jcp.2021.110584OpenAlexW3145216770MaRDI QIDQ2133015
Publication date: 29 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.05710
discontinuous Galerkin methodrelaxation schemesummation-by-partscompressible multicomponent flowsentropy stable scheme
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)
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Cites Work
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- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- Discontinuous Galerkin method for multicomponent chemically reacting flows and combustion
- A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces
- A low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratios
- A method to couple HEM and HRM two-phase flow models
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods
- A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations
- Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations
- Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. II: The two-dimensional case
- Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
- Implementation of WENO schemes in compressible multicomponent flow problems
- Effects of WENO flux reconstruction order and spatial resolution on reshocked two-dimensional Richtmyer--Meshkov instability
- Relaxation approximation of the Euler equations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
- Simulations of viscous and compressible gas-gas flows using high-order finite difference schemes
- Evaluation of a high-order discontinuous Galerkin method for the DNS of turbulent 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
- On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
- Entropy inequalities for a relaxation scheme
- A five-equation model for the simulation of interfaces between compressible fluids
- Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows.
- Numerical simulation of shock-cylinder interactions. I: Resolution
- How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
- An entropy satisfying MUSCL scheme for systems of conservation laws
- On positivity preserving finite volume schemes for Euler equations
- WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows
- Bounds for wave speeds in the Riemann problem: direct theoretical estimates
- An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model
- Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows
- Formulation of entropy-stable schemes for the multicomponent compressible Euler equations
- Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws
- Positivity-preserving schemes for Euler equations: sharp and practical CFL 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
- A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes
- A robust high-order discontinuous Galerkin method with large time steps for the compressible Euler equations
- 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
- RELAXATION OF FLUID SYSTEMS
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- A high-resolution scheme for compressible multicomponent flows with shock waves
- Impact of volume viscosity on a shock–hydrogen-bubble interaction
- 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
- High-Order Schemes and Entropy Condition for Nonlinear Hyperbolic Systems of Conservation Laws
- A Random Choice Finite Difference Scheme for Hyperbolic Conservation Laws
- On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws
- Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics
- On a Cell Entropy Inequality for Discontinuous Galerkin Methods
- On the dynamics of a shock–bubble interaction
- Three-Dimensional Front Tracking
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- Hybrid Multifluid Algorithms
- Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
- Relaxation schemes for the multicomponent Euler system
- Stationary Discrete Shock Profiles for Scalar Conservation Laws with a Discontinuous Galerkin Method
- Computations of compressible multifluids.