Abstract In shock-induced Richtmyer–Meshkov instability, the polygonal bubbles, including
the rectangular interface can offer favorable circumstances for shock refraction research …

The discontinuous Galerkin (DG) method has been popular as a numerical technique for
solving the conservation laws of gas dynamics. In the present study, we develop an explicit …

The present paper deals with the development of a numerical scheme for the solution of two-
dimensional Boltzmann transport equation (BTE) under electronic nonequilibrium …

A spatio-temporal adaptive artificial viscosity (AV) based shock-capturing scheme is
proposed for the solution of both inviscid and viscous compressible flows using a high-order …

A modal discontinuous Galerkin method was developed for computing compressible
rarefied gaseous flows interacting with rigid particles and granular medium. In contrast to …

The present work investigates complex wave patterns in dilute gas–particle flows based on
a novel discontinuous Galerkin (DG) method. For this purpose, a high order DG method was …

In this work we construct a high-order, single-stage, single-step positivity-preserving method
for the compressible Euler equations. Space is discretized with the finite difference weighted …

In order to suppress the failure of preserving positivity of density or pressure, a positivity-
preserving limiter technique coupled with h-adaptive Runge-Kutta discontinuous Galerkin …

The present work investigates the bubble formation and vortex shedding phenomena in the
viscous flow of a compressible gas seeded with dust particles. A new modal discontinuous …

For real-world engineering applications, there is a great deal of interest in developing
effective models and simulations of continuum-rarefied gas flows. In this study, the numerical …