A positivity preserving and oscillation-free entropy stable discontinuous Galerkin scheme for the reactive Euler equations

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

Unnamed Item
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
Implicit-explicit schemes for flow equations with stiff source terms
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
Efficient implementation of essentially nonoscillatory shock-capturing schemes
The generalized Riemann problem for reactive flows
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
The random projection method for hyperbolic conservation laws with stiff reaction terms
An entropy stable \(h/p\) non-conforming discontinuous Galerkin method with the summation-by-parts property
The BR1 scheme is stable for the compressible Navier-Stokes equations
Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms
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
Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements
Simultaneous approximation terms for multi-dimensional summation-by-parts operators
Multiresolution schemes for the reactive Euler equations
Entropy and global existence for hyperbolic balance laws
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. I: Theory and numerical verification
Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations
On discretely entropy stable weight-adjusted discontinuous Galerkin methods: curvilinear meshes
Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws
Numerical solution of under-resolved detonations
Solutions of multi-dimensional hyperbolic systems of conservation laws by square entropy condition satisfying discontinuous Galerkin method
An oscillation-free discontinuous Galerkin method for shallow water equations
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations
A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves
Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
On the Convergence of Difference Approximations to Scalar Conservation Laws
The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
On a Cell Entropy Inequality for Discontinuous Galerkin Methods
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
High-Order Bound-Preserving Discontinuous Galerkin Methods for Stiff Multispecies Detonation
A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws
An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems
Strictly convex entropy and entropy stable schemes for reactive Euler 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
Summation-by-Parts Operators for General Function Spaces
An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations
Multi-dimensional summation-by-parts operators for general function spaces: theory and construction
An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows

This page was built for publication: A positivity preserving and oscillation-free entropy stable discontinuous Galerkin scheme for the reactive Euler equations