A shock stabilization of the HLLC Riemann solver for the carbuncle instability

Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Compressible Navier-Stokes equations (76N06)

Cites Work

A matrix stability analysis of the carbuncle phenomenon
A carbuncle cure for the Harten-Lax-van Leer contact (HLLC) scheme using a novel velocity-based sensor
Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves
Assessment of localized artificial diffusivity scheme for large-eddy simulation of compressible turbulent flows
On Godunov-type methods near low densities
An improved reconstruction method for compressible flows with low Mach number features
Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
Large-eddy simulation of the shock/turbulence interaction
Restoration of the contact surface in the HLL-Riemann solver
A robust shock-capturing scheme based on rotated Riemann solvers.
Computation of flows with shocks using the spectral difference method with artificial viscosity. II: Modified formulation with local mesh refinement
Artificial viscosity in Godunov-type schemes to cure the carbuncle phenomenon
A shock-stable modification of the HLLC Riemann solver with reduced numerical dissipation
An HLLC-type approximate Riemann solver for two-dimensional elastic-perfectly plastic model
On a robust and accurate localized artificial diffusivity scheme for the high-order flux-reconstruction method
A simple cure for numerical shock instability in the HLLC Riemann solver
Heuristical and numerical considerations for the carbuncle phenomenon
Compact high order finite volume method on unstructured grids. III: Variational reconstruction
Very simple, carbuncle-free, boundary-layer-resolving, rotated-hybrid Riemann solvers
A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
Shock wave instability and the carbuncle phenomenon: same intrinsic origin?
A Method for the Numerical Calculation of Hydrodynamic Shocks
Numerical instabilities in upwind methods: Analysis and cures for the ``carbuncle phenomenon

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