Tariq D. Aslam

TL;DR: A new numerical method for treating interfaces in Eulerian schemes that maintains a Heaviside profile of the density with no numerical smearing along the lines of earlier work and most Lagrangian schemes is proposed.

TL;DR: In this article, a new fifth-order weighted essentially non-oscillatory (ENO) scheme is developed, and necessary and sufficient conditions on the weights for fifth order convergence are derived.

TL;DR: In this paper, a general methodology for multidimensional extrapolation is presented, which assumes a level set function exists which separates the region of known values from the region to be extrapolated, and it is shown that arbitrary orders of polynomial extrapolation can be formulated by simply solving a series of linear partial differential equations.

TL;DR: In this article, the Ghost Fluid Method (GFM) is extended to treat multimaterial interfaces where the interface velocity includes a regression rate due to the presence of chemical reactions converting one material into another.

TL;DR: This paper explains the methodology used to develop a high-resolution, multi-dimensional Euler solver that is capable of handling non-ideal equation of state and stiff chemical source terms and provides details on the verification of the integrated set of algorithms that resulted in an application code.