High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible 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
High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
Accurate numerical modeling of 1D flow in channels with arbitrary shape. Application of the energy balanced property
Review of summation-by-parts schemes for initial-boundary-value problems
Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography
Shallow water flows in channels
Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
First- and second-order finite volume methods for the one-dimensional nonconservative Euler system
Upwind schemes and boundary conditions with applications to Euler equations in general geometries
Boundary conditions for direct simulations of compressible viscous flows
Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
Upwind methods for hyperbolic conservation laws with source terms
On numerical treatment of the source terms in the shallow water equations
On discretely entropy conservative and entropy stable discontinuous Galerkin methods
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
Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements
On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
TVD schemes for the calculation of flow in pipes of variable cross- section
An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs
Entropy stable discontinuous Galerkin methods for nonlinear conservation laws on networks and multi-dimensional domains
First-order positivity-preserving entropy stable scheme for the 3-D compressible Navier-Stokes equations
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics
Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes
Positivity-preserving entropy stable schemes for the 1-D compressible Navier-Stokes equations: high-order flux limiting
Positivity-preserving entropy stable schemes for the 1-D compressible Navier-Stokes equations: first-order approximation
Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes
Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods
Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: applications to the Euler equations with gravity
Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows
High-order entropy stable discontinuous Galerkin methods for the shallow water equations: curved triangular meshes and GPU acceleration
Numerical schemes for quasi-1D steady nozzle flows
Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
Conservative model reduction for finite-volume models
A well-balanced approximate Riemann solver for compressible flows in variable cross-section ducts
Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations
Analytic adjoint solutions for the quasi-one-dimensional Euler equations
Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier--Stokes Equations
Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems
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
Julia: A Fresh Approach to Numerical Computing
The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section
A central scheme for shallow water flows along channels with irregular geometry
The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
On the Solution to The Riemann Problem for the Compressible Duct Flow
High‐order CFD methods: current status and perspective
Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
Fundamental Algorithms in Computational Fluid Dynamics
Numerical Solutions to Compressible Flows in a Nozzle with Variable Cross-section
High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry
High-order positivity-preserving entropy stable schemes for the 3-D compressible Navier-Stokes equations

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