There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …

Accurate and robust simulations of transcritical real-fluid flows are crucial for many
engineering applications. Diffuse-interface methods are frequently employed and several …

We describe compressible two-phase flows by a single-velocity six-equation flow model,
which is composed of the phasic mass and total energy equations, one volume fraction …

We present a class of high order finite volume schemes for the solution of non-conservative
hyperbolic systems that combines the one-step ADER-WENO finite volume approach with …

In this article we present a new efficient implementation of high order accurate Godunov-
type WENO finite volume schemes on unstructured triangular and tetrahedral meshes for the …

In this article we present a new formulation and an associated numerical algorithm, for the
simulation of combustion and transition to detonation of condensed-phase commercial-and …

Here we extend the flux vector splitting approach recently proposed in EF Toro and ME
Vázquez-Cendón (2012)[42]. The scheme was originally presented for the 1D Euler …

This paper presents an efficient and robust numerical framework to deal with multiphase real-
fluid flows and their broad spectrum of engineering applications. A homogeneous mixture …

Numerical solutions of the Euler equations using real gas equations of state (EOS) often
exhibit serious inaccuracies. The focus here is the van der Waals EOS and its variants (often …

This paper presents a novel explicit finite volume scheme for the solution of the two-
dimensional Shallow Water Equations (SWEs) with porosity based on the use of an …