Finite volume methods are a class of discretization schemes resulting from the
decomposition of a problem domain into nonoverlapping control volumes. Degrees of …

We present an Asymptotic-Preserving 'all-speed'scheme for the simulation of compressible
flows valid at all Mach-numbers ranging from very small to order unity. The scheme is based …

A particle tracking framework for the computation of the collection efficiency for in-flight ice
accretion is presented. Algorithms for the computation of the collection efficiency are …

This paper describes a numerical discretization of the compressible Euler equations with a
gravitational potential. A pertinent feature of the solutions to these inhomogeneous …

This work concerns the derivation of HLL schemes to approximate the solutions of systems
of conservation laws supplemented by source terms. Such a system contains many models …

In this paper, we apply discontinuous Galerkin (DG) methods to solve two model equations:
Krauseʼs consensus models and pressureless Euler equations. These two models are …

In this paper, we study the numerical simulations for Euler system with maximal density
constraint. This model is developed in [6],[17] with the constraint introduced into the system …

The current study documents the development of a new multiphase solver for the simulation
of dilute dusty gas flows in the OpenFOAM suite. Even though various solvers for simulation …

We propose a numerical scheme to approximate the weak solutions of the 10-moment
Gaussian closure. The moment Gaussian closure for gas dynamics is governed by a …

We first present a new sticky particle method for the system of pressureless gas dynamics.
The method is based on the idea of sticky particles, which seems to work perfectly well for …