An entropy conserving/stable discontinuous Galerkin solver in entropy variables based on the direct enforcement of entropy balance
DOI10.1016/j.jcp.2024.113007MaRDI QIDQ6553822
Emanuele Carnevali, Luca Alberti, Alessandro Colombo, Andrea Crivellini
Publication date: 11 June 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
entropy variablesdiscontinuous Galerkingeneralized Crank-Nicolsonentropy conservation/stabilitydirect enforcement of entropy balanceentropy projection
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Compressible fluids and gas dynamics (76Nxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Cites Work
- Unnamed Item
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- Adaptive discontinuous evolution Galerkin method for dry atmospheric flow
- On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
- Dealiasing techniques for high-order spectral element methods on regular and irregular grids
- 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
- Entropy functions for symmetric systems of conservation laws
- Assessment of Riemann solvers for unsteady one-dimensional inviscid flows of perfect gases
- On the symmetric form of systems of conservation laws with entropy
- Systems of conservation laws of mixed type
- Weighted essentially non-oscillatory schemes on triangular meshes
- Low-dissipative high-order shock-capturing methods using characteristic-based filters
- De-aliasing on non-uniform grids: algorithms and applications.
- On discretely entropy conservative and entropy stable discontinuous Galerkin methods
- Entropy production by explicit Runge-Kutta schemes
- A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
- A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes
- On the entropy conserving/stable implicit DG discretization of the Euler equations in entropy variables
- Rayleigh-Taylor and Richtmyer-Meshkov instabilities: a journey through scales
- Entropy conserving implicit time integration in a discontinuous Galerkin solver in entropy variables
- High order entropy preserving ADER-DG schemes
- Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization
- Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows
- Skew-symmetric entropy stable modal discontinuous Galerkin formulations
- Implicit solution of the unsteady Euler equations for high-order accurate discontinuous Galerkin discretizations
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- Entropy conservative schemes and the receding flow problem
- A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- Convex Entropies and Hyperbolicity for General Euler Equations
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
- A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
- Richtmyer–Meshkov instability growth: experiment, simulation and theory
- Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations
- Systems of Conservation Equations with a Convex Extension
- Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
- A family of well-balanced WENO and TENO schemes for atmospheric flows
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