For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …

The diffuse interface models, part of the family of the front capturing methods, provide an
efficient and robust framework for the simulation of multi-species flows. They allow the …

In this paper we extend the application of unstructured high-order finite-volume central-
weighted essentially non-oscillatory (CWENO) schemes to multicomponent flows using the …

In this paper the relaxed, high-order, Multidimensional Optimal Order Detection (MOOD)
framework is extended to the simulation of compressible multicomponent flows on …

The discrete-equations method (DEM)[1] provides a universal approach to solve multi-phase-
flow equations as it combines the solutions of pairwise Riemann problems. Although very …

First, a new reconstruction strategy is proposed to improve the accuracy of the fifth-order
weighted essentially non-oscillatory (WENO) scheme. It has been noted that conventional …

In this article, an accurate and robust numerical method is developed for solving the
compressible two-medium model. The method in arbitrary high-order case has the following …

A class of high-order shock-capturing schemes, P n T m-BVD (Deng et al., 2019; Deng et al.,
2020) schemes, have been devised to solve the Euler equations with substantially reduced …

While the recently proposed TENO (targeted essentially non-oscillatory) schemes [Fu et al.,
Journal of Computational Physics 305 (2016): 333-359] exhibit better performance than the …

This study incorporates the well-known diffuse-interface concept into the meshless
smoothed particle hydrodynamics (SPH) method for compressible multiphase flow …