Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier-Stokes equations
From MaRDI portal
Publication:2194844
DOI10.1016/j.camwa.2020.06.016OpenAlexW3042207042MaRDI QIDQ2194844
Hendrik Ranocha, Matteo Parsani, Lisandro D. Dalcín
Publication date: 7 September 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.08831
conservation lawscompressible Navier-Stokes equationscompressible Euler equationsentropy stabilityrelaxation methods\(hp\)-adaptive spatial discretizations
Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Numerical solutions to abstract evolution equations (65J08) Compressible Navier-Stokes equations (76N06)
Related Items
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 ⋮ An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing ⋮ Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations ⋮ Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization ⋮ On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics ⋮ On the performance of relaxation and adaptive explicit Runge-Kutta schemes for high-order compressible flow simulations ⋮ Resolving entropy growth from iterative methods ⋮ High-order positivity-preserving entropy stable schemes for the 3-D compressible Navier-Stokes equations ⋮ General relaxation methods for initial-value problems with application to multistep schemes ⋮ A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations ⋮ Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts ⋮ On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows ⋮ Energy Stability of Explicit Runge--Kutta Methods for Nonautonomous or Nonlinear Problems ⋮ On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations ⋮ A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations ⋮ An unconditionally energy stable method for binary incompressible heat conductive fluids based on the phase-field model ⋮ Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics ⋮ A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics ⋮ A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- Entropy stable discontinuous interfaces coupling for the three-dimensional compressible Navier-Stokes equations
- Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations
- Entropy-dissipating semi-discrete Runge-Kutta schemes for nonlinear diffusion equations
- Stability of the fourth order Runge-Kutta method for time-dependent partial differential equations
- Finite-volume WENO schemes for three-dimensional conservation laws
- On local conservation of numerical methods for conservation laws
- Relaxation Runge-Kutta methods for Hamiltonian problems
- A 3(2) pair of Runge-Kutta formulas
- A method for the integration in time of certain partial differential equations
- An explicit finite-difference scheme with exact conservation properties
- On the symmetric form of systems of conservation laws with entropy
- An entropy stable \(h/p\) non-conforming discontinuous Galerkin method with the summation-by-parts property
- \(L_2\) stability of explicit Runge-Kutta schemes
- On discretely entropy conservative and entropy stable discontinuous Galerkin methods
- A combined ghost-point-forcing / direct-forcing immersed boundary method (IBM) for compressible flow simulations
- 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
- Entropy production by explicit Runge-Kutta schemes
- Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements
- Artificial viscosity for correction procedure via reconstruction using summation-by-parts operators
- Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators
- An efficient Runge-Kutta \((4,5)\) pair
- Entropy-stable \(p\)-nonconforming discretizations with the summation-by-parts property for the compressible Navier-Stokes equations
- Some notes on summation by parts time integration methods
- Entropy stable \(h/p\)-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations
- Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: adiabatic wall and heat entropy transfer
- Entropy-stable, high-order summation-by-parts discretizations without interface penalties
- Entropy production by implicit Runge-Kutta schemes
- Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws
- Analysis and entropy stability of the line-based discontinuous Galerkin method
- Entropy-stable schemes for the Euler equations with far-field and wall boundary conditions
- Monotonicity for Runge-Kutta methods: inner product norms
- Optimized geometrical metrics satisfying free-stream preservation
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
- High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators
- Direct numerical simulation of decaying compressible turbulence and shocklet statistics
- Non-linear stability of a general class of differential equation methods
- Stability Criteria for Implicit Runge–Kutta Methods
- Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
- Algorithm 748: enclosing zeros of continuous functions
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- Energy stable boundary conditions for the nonlinear incompressible Navier–Stokes equations
- High-order accurate, fully discrete entropy stable schemes for scalar conservation laws
- Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
- Relaxation Runge--Kutta Methods: Conservation and Stability for Inner-Product Norms
- Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations
- Strong Stability of Explicit Runge--Kutta Time Discretizations
- Geometric Numerical Integration
- Numerical Methods for Ordinary Differential Equations
- Hyperbolic Conservation Laws in Continuum Physics