On entropy-stable discretizations and the entropy adjoint
DOI10.1007/s10915-020-01395-7zbMath1475.65144OpenAlexW3124233850MaRDI QIDQ2027933
Publication date: 28 May 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01395-7
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Euler equations (35Q31)
Cites Work
- 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
- 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
- Skew-selfadjoint form for systems of conservation laws
- On the symmetric form of systems of conservation laws with entropy
- Systems of conservation laws of mixed type
- 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
- Comparison of some entropy conservative numerical fluxes for the Euler equations
- 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
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates
- Entropy-stable, high-order summation-by-parts discretizations without interface penalties
- Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws
- Entropy conservative schemes and the receding flow problem
- Entropy-stable schemes for the Euler equations with far-field and wall boundary conditions
- Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
- Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier--Stokes Equations
- 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
- An Entropy Adjoint Approach to Mesh Refinement
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations
- Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
- Unnamed Item
- Unnamed Item
