Numerical Instablilities in Upwind Methods: Analysis and Cures for the “Carbuncle” Phenomenon

Cures for the shock instability: development of a shock-stable Roe scheme

Journal of Computational Physics

An artificially upstream flux vector splitting scheme for the Euler equations

Journal of Computational Physics

A matrix stability analysis of the carbuncle phenomenon

Journal of Computational Physics

Diffusion regulation for Euler solvers

Journal of Computational Physics

A multi-dimensional upwind scheme for solving Euler and Navier-Stokes equations

Journal of Computational Physics

Very simple, carbuncle-free, boundary-layer-resolving, rotated-hybrid Riemann solvers

Journal of Computational Physics

Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics

Journal of Computational Physics

Affordable, entropy-consistent Euler flux functions II: Entropy production at shocks

Journal of Computational Physics

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

Journal of Computational Physics

A multislope MUSCL method on unstructured meshes applied to compressible Euler equations for axisymmetric swirling flows

Journal of Computational Physics

Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations

Journal of Computational Physics

A low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratios

Journal of Computational Physics

The role of mesh generation, adaptation, and refinement on the computation of flows featuring strong shocks

Modelling and Simulation in Engineering - Special issue on Computational Fluid Dynamics and Its Applications 2012

A solution-adaptive method for efficient compressible multifluid simulations, with application to the Richtmyer-Meshkov instability

Journal of Computational Physics

Application of a shock-fitted spectral collocation method for computing transient high-speed inviscid flows over a blunt nose

Journal of Computational Physics