R. J. R. Williams

TL;DR: Numerical tests demonstrate that the new scheme captures shock waves well, significantly improves resolution of low Mach number features and greatly reduces high wave number dissipation in the case of homogeneous decaying turbulence and Richtmyer-Meshkov mixing.

TL;DR: In this paper, the influence of different three-dimensional multi-mode initial conditions on the rate of growth of a mixing layer initiated via a Richtmyer-Meshkov instability through a series of well-controlled numerical experiments is investigated.

TL;DR: In this article, the authors provide an extensive survey of the applications and examples where hydrodynamic instabilities play a central role, including solar prominences, ionospheric flows in space, supernovae, inertial fusion and pulsed-power experiments, pulsed detonation engines and Scramjets.

TL;DR: In this paper, a numerical study of a single-shocked turbulent mixing layer using high-order accurate implicit large-eddy simulations (ILES) for low and high-amplitude (linear and non-linear) perturbations and for a reshocked turbulent layer is presented.

TL;DR: This paper addresses entropy generation and the corresponding dissipation of kinetic energy associated with high-resolution, shock-capturing (Godunov) methods and it is demonstrated that for general continuously varying flows the inherent numerical entropy increase of Godunov methods is not proportional to the velocity jump cubed as is commonly assumed, but it is proportional toThe velocity jump squared.