On Godunov-type methods for gas dynamics

High Resolution Relaxed Upwind Schemes in Gas Dynamics

Journal of Scientific Computing

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

Journal of Computational Physics

On the dissipation mechanism of Godunov-type schemes

Journal of Computational Physics

An artificially upstream flux vector splitting scheme for the Euler equations

Journal of Computational Physics

An unsplit Godunov method for ideal MHD via constrained transport

Journal of Computational Physics

A sequel to AUSM, Part II: AUSM+-up for all speeds

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

Improving shock irregularities based on the characteristics of the MHD equations

Journal of Computational Physics

Splitting based finite volume schemes for ideal MHD equations

Journal of Computational Physics

Short Note: On the dissipation mechanism of upwind-schemes in the low Mach number regime: A comparison between Roe and HLL

Journal of Computational Physics

A parallel solution - adaptive method for three-dimensional turbulent non-premixed combusting flows

Journal of Computational Physics

High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres

Journal of Computational Physics

High order finite volume methods on wavelet-adapted grids with local time-stepping on multicore architectures for the simulation of shock-bubble interactions

Journal of Computational Physics

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

A discontinuous Galerkin method for two-dimensional shock wave modeling

Modelling and Simulation in Engineering

Multicore/Multi-GPU Accelerated Simulations of Multiphase Compressible Flows Using Wavelet Adapted Grids

SIAM Journal on Scientific Computing

Original Article: High order well-balanced scheme for river flow modeling

Mathematics and Computers in Simulation

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

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

Phase Appearance or Disappearance in Two-Phase Flows

Journal of Scientific Computing

High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows

Journal of Computational Physics

A second-order time-accurate implicit finite volume method with exact two-phase Riemann problems for compressible multi-phase fluid and fluid-structure problems

Journal of Computational Physics

High-resolution Roe's scheme and characteristic boundary conditions for solving complex wave reflection phenomena in a tree-like arterial structure

Journal of Computational Physics

A second order PVM flux limiter method. Application to magnetohydrodynamics and shallow stratified flows

Journal of Computational Physics

Adaptive multi-resolution method for compressible multi-phase flows with sharp interface model and pyramid data structure

Journal of Computational Physics

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

Journal of Computational Physics

An ALE formulation of embedded boundary methods for tracking boundary layers in turbulent fluid-structure interaction problems

Journal of Computational Physics