Use of a rotated Riemann solver for the two-dimensional Euler equations
Journal of Computational Physics
Journal of Computational Physics
Numerical hydrodynamics from gas-kinetic theory
Journal of Computational Physics
Numerical Navier-Stokes solutions from gas kinetic theory
Journal of Computational Physics
An Accurate and Robust Flux Splitting Scheme for Shock and Contact Discontinuities
SIAM Journal on Scientific Computing
Approximate Riemann solvers, parameter vectors, and difference schemes
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Mass flux schemes and connection to shock instability
Journal of Computational Physics
Numerical Instablilities in Upwind Methods: Analysis and Cures for the “Carbuncle” Phenomenon
Journal of Computational Physics
A matrix stability analysis of the carbuncle phenomenon
Journal of Computational Physics
A central Rankine-Hugoniot solver for hyperbolic conservation laws
Journal of Computational Physics
A fully discrete, kinetic energy consistent finite-volume scheme for compressible flows
Journal of Computational Physics
Directional Diffusion Regulator (DDR) for some numerical solvers of hyperbolic conservation laws
Journal of Computational Physics
Hi-index | 31.46 |
A diffusion regulation parameter, which operates based on the jump in the Mach number, is presented for implementation in Euler solvers. This diffusion regulation parameter adjusts itself automatically in different regimes of the flow and leads to the exact capturing of steady contact discontinuities which are aligned with the grid-lines. This diffusion regulator parameter reduces numerical dissipation, is very simple and can be easily incorporated in any Euler solver. By coupling such a parameter with a simple numerical method like the Local Lax-Friedrichs (Rusanov) method, an accurate and yet simple numerical method is developed for the numerical simulation of inviscid compressible fluid flows. To demonstrate the applicability of this approach to any Euler solver, the diffusion regulation parameter is also applied in the framework of a Kinetic Scheme which is very diffusive and the improvements in the accuracy for both the methods are demonstrated through several bench-mark test problems.