Nonlinear entropy stable Riemann solver with heuristic logarithmic pressure augmentation for supersonic and hypersonic flows
DOI10.1016/j.camwa.2023.03.024OpenAlexW4362573664MaRDI QIDQ6103626
Zheng-Hong Gao, Shu-Sheng Chen, Wu Yuan, Jin-ping Li
Publication date: 5 June 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.03.024
Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) 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) Numerical analysis (65-XX)
Cites Work
- Unnamed Item
- Unnamed Item
- Perfect derivatives, conservative differences and entropy stable computation of hyperbolic conservation laws
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- Robust HLLC Riemann solver with weighted average flux scheme for strong shock
- Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Systems of conservation laws of mixed type
- A new flux splitting scheme
- Restoration of the contact surface in the HLL-Riemann solver
- Mass flux schemes and connection to shock instability
- Hybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
- An entropy stable finite volume scheme for the two dimensional Navier-Stokes equations on triangular grids
- An improved AUSM-family scheme with robustness and accuracy for all Mach number flows
- Suitable diffusion for constructing non-oscillatory entropy stable schemes
- Effective low-Mach number improvement for upwind schemes
- Anti-dissipation pressure correction under low Mach numbers for Godunov-type schemes
- Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows
- Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids
- Affordable shock-stable item for Godunov-type schemes against carbuncle phenomenon
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations
- A sign preserving WENO reconstruction method
- Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
- 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
- Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
- Second‐order entropy diminishing scheme for the Euler equations
- Systems of Conservation Equations with a Convex Extension
- Two-dimensional Riemann solver for Euler equations of gas dynamics
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