Robust HLLC Riemann solver with weighted average flux scheme for strong shock

DOI10.1016/j.jcp.2009.07.006zbMath1391.76556OpenAlexW2069170391MaRDI QIDQ733019

Bok Jik Lee, In-Seuck Jeung, Hyoung Jin Lee, Sung Don Kim

Publication date: 15 October 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.07.006

zbMATH Keywords

switching functionHLL schemeHLLC schemeHLLC-HLLshock instabilityWAF scheme

Mathematics Subject Classification ID

Related Items (28)

A cure for numerical shock instability in HLLC Riemann solver using antidiffusion control ⋮ Using piecewise-linear reconstruction to constructing a low-dissipation HLL method for numerical solution of hydrodynamics equation ⋮ A shock-stable modification of the HLLC Riemann solver with reduced numerical dissipation ⋮ Shock capturing schemes with local mesh adaptation for high speed compressible flows on three dimensional unstructured grids ⋮ A carbuncle cure for the Harten-Lax-van Leer contact (HLLC) scheme using a novel velocity-based sensor ⋮ A shock-stable HLLEM scheme with improved contact resolving capability for compressible Euler flows ⋮ A new robust carbuncle-free Roe scheme for strong shock ⋮ Simulating compressible two-phase flows with sharp-interface discontinuous Galerkin methods based on ghost fluid method and cut cell scheme ⋮ Theoretical and numerical study of the binary scaling law for electron distribution in thermochemical non-equilibrium flows under extremely high Mach number ⋮ A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method ⋮ A domain-decomposition strategy for a compressible multi-phase flow interacting with a structure ⋮ An efficient HLL-based scheme for capturing contact-discontinuity in scalar transport by shallow water flow ⋮ An accurate, robust and efficient convection-pressure flux splitting scheme for compressible Euler flows ⋮ Nonlinear entropy stable Riemann solver with heuristic logarithmic pressure augmentation for supersonic and hypersonic flows ⋮ Artificial viscosity in Godunov-type schemes to cure the carbuncle phenomenon ⋮ A rotated lattice Boltzmann flux solver with improved stability for the simulation of compressible flows with intense shock waves at high Mach number ⋮ A shock-stable numerical scheme accurate for contact discontinuities: applications to 3D compressible flows ⋮ On numerical instabilities of Godunov-type schemes for strong shocks ⋮ An indicator-based hybrid limiter in discontinuous Galerkin methods for hyperbolic conservation laws ⋮ A robust and contact preserving flux splitting scheme for compressible flows ⋮ Performance of DG methods based on different variables for low Mach number flows ⋮ A low dissipation method to cure the grid-aligned shock instability ⋮ HLLC+: Low-Mach Shock-Stable HLLC-Type Riemann Solver for All-Speed Flows ⋮ Further studies on numerical instabilities of Godunov-type schemes for strong shocks ⋮ Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows ⋮ A robust HLLC-type Riemann solver for strong shock ⋮ Affordable shock-stable item for Godunov-type schemes against carbuncle phenomenon ⋮ A simple cure for numerical shock instability in the HLLC Riemann solver

Uses Software

• HLLE

Cites Work

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• On WAF-type schemes for multidimensional hyperbolic conservation laws
• On Godunov-type methods near low densities
• Restoration of the contact surface in the HLL-Riemann solver
• Mass flux schemes and connection to shock instability
• Cures for the shock instability: Development of a shock-stable Roe scheme.
• Realization of contact resolving approximate Riemann solvers for strong shock and expansion flows
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• A weighted average flux method for hyperbolic conservation laws
• The weighted average flux method applied to the Euler equations
• A contribution to the great Riemann solver debate
• On the Choice of Wavespeeds for the HLLC Riemann Solver
• Shock wave numerical structure and the carbuncle phenomenon
• Numerical instabilities in upwind methods: Analysis and cures for the ``carbuncle phenomenon

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