On Godunov-type methods near low densities

Positivity-Preserving Analysis of Explicit and Implicit Lax–Friedrichs Schemes for Compressible Euler Equations

Journal of Scientific Computing

A nonlinear flux split method for hyperbolic conservation laws

Journal of Computational Physics

Artificial wind: a new framework to construct simple and efficient upwind shock-capturing schemes

Journal of Computational Physics

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

Journal of Computational Physics

On the dissipation mechanism of Godunov-type schemes

Journal of Computational Physics

Shock-Vortex Interactions at High Mach Numbers

Journal of Scientific Computing

Development of a higher-order accurate kinetic wave/particle flux-splitting algorithm for the Euler equations

Applied Numerical Mathematics - Special issue: Applied numerical computing: Grid generation and solution methods for advanced simulations

An artificially upstream flux vector splitting scheme for the Euler equations

Journal of Computational Physics

Kinetic energy fix for low internal energy flows

Journal of Computational Physics

Non-uniform convergence of finite volume schemes for Riemann problems of ideal magnetohydrodynamics

Journal of Computational Physics

A matrix stability analysis of the carbuncle phenomenon

Journal of Computational Physics

An HLLC Riemann solver for magneto-hydrodynamics

Journal of Computational Physics

The ghost fluid method for compressible gas-water simulation

Journal of Computational Physics

A second order kinetic scheme for gas dynamics on arbitrary grids

Journal of Computational Physics

A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics

Journal of Computational Physics

A shock-capturing SPH scheme based on adaptive kernel estimation

Journal of Computational Physics

MUSTA Fluxes for systems of conservation laws

Journal of Computational Physics

A high resolution scheme for Eulerian gas-solid two-phase isentropic flow

Journal of Computational Physics

A direct Eulerian GRP scheme for compressible fluid flows

Journal of Computational Physics

Implementation of WENO schemes in compressible multicomponent flow problems

Journal of Computational Physics

A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations

Journal of Computational Physics

A second-order γ-model BGK scheme for multimaterial compressible flows

Applied Numerical Mathematics

A simple and accurate Riemann solver for isothermal MHD

Journal of Computational Physics

DIMEX Runge-Kutta finite volume methods for multidimensional hyperbolic systems

Mathematics and Computers in Simulation

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

Journal of Computational Physics

Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation

Journal of Computational Physics

Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws

Journal of Computational Physics

Towards a compact high-order method for non-linear hyperbolic systems, II. The Hermite-HLLC scheme

Journal of Computational Physics

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

Journal of Computational Physics

Towards a compact high-order method for non-linear hyperbolic systems. I: The Hermite Least-Square Monotone (HLSM) reconstruction

Journal of Computational Physics

A parallel adaptive method for simulating shock-induced combustion with detailed chemical kinetics in complex domains

Computers and Structures

On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow

Journal of Computational Physics

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

Journal of Computational Physics

On the role of Riemann solvers in Discontinuous Galerkin methods for magnetohydrodynamics

Journal of Computational Physics

Finite-Volume Solvers for a Multilayer Saint-Venant System

International Journal of Applied Mathematics and Computer Science - Scientific Computation for Fluid Mechanics and Hyperbolic Systems

Behavior of viscous solutions in Lagrangian formulation

Journal of Computational Physics

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

Journal of Computational Physics

An adaptive central-upwind weighted essentially non-oscillatory scheme

Journal of Computational Physics

A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers

Journal of Computational Physics

A high-order multi-dimensional HLL-Riemann solver for non-linear Euler equations

Journal of Computational Physics

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

Journal of Computational Physics

Scale separation for implicit large eddy simulation

Journal of Computational Physics

Positivity-preserving high-resolution schemes for systems of conservation laws

Journal of Computational Physics

Multi-science applications with single codebase - GAMER - for massively parallel architectures

Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis

Numerical schemes for a system of one-dimensional hyperbolic equations

Annales UMCS, Informatica

Numerical schemes for a system of one-dimensional hyperbolic equations

Annales UMCS, Informatica

Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations

Journal of Computational Physics

Simulations of stellar convection with CO5BOLD

Journal of Computational Physics

Adaptive numerical algorithms in space weather modeling

Journal of Computational Physics

Detonation structure simulation with AMROC

HPCC'05 Proceedings of the First international conference on High Performance Computing and Communications

Positivity-preserving high order finite difference WENO schemes for compressible Euler equations

Journal of Computational Physics

Preventing numerical errors generated by interface-capturing schemes in compressible multi-material flows

Journal of Computational Physics

A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows

Journal of Computational Physics

Self-adjusting, positivity preserving high order schemes for hydrodynamics and magnetohydrodynamics

Journal of Computational Physics

Directionally unsplit hydrodynamic schemes with hybrid MPI/OpenMP/GPU parallelization in AMR

International Journal of High Performance Computing Applications

Positivity-preserving schemes for Euler equations: Sharp and practical CFL conditions

Journal of Computational Physics

WENO-enhanced gas-kinetic scheme for direct simulations of compressible transition and turbulence

Journal of Computational Physics

Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes - Speed comparisons with Runge-Kutta methods

Journal of Computational Physics

Positivity-preserving method for high-order conservative schemes solving compressible Euler equations

Journal of Computational Physics

A HLL-Rankine-Hugoniot Riemann solver for complex non-linear hyperbolic problems

Journal of Computational Physics

A comparison of SPH schemes for the compressible Euler equations

Journal of Computational Physics

Phase Appearance or Disappearance in Two-Phase Flows

Journal of Scientific Computing

Positivity-preserving Lagrangian scheme for multi-material compressible flow

Journal of Computational Physics

The generalized Riemann problems for compressible fluid flows: Towards high order

Journal of Computational Physics

Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows

Journal of Computational Physics