This repository contains MATLAB code that implements a 1D Finite Volume Method (FVM) for solving diffusion problems. The FVM is a numerical technique used to approximate solutions to partial ...

A class of upwind finite volume element method based on tetrahedron partition is put forward for a nonlinear convection diffusion problem. Some techniques, such as calculus of variations, commutating ...

finitevolume-shocktube is an open-source Python solver for the 1D compressible Euler equations using the finite volume method with a Roe approximate Riemann solver. It is developed and maintained ...

Since 1970, a new method has appeared which is currently enjoying real success, given its ease of implementation. This is the finite volume method, based on a different principle of equivalent ...

Abstract: In this paper we present and analyse a coupled finite element-finite volume method for the numerical approximation of singularly perturbed convection-diffusion problems. The idea is to ...

You do not have access to this resource. The finite volume method is used to solve the Navier-Stokes equations. The paper is divided into two distinct parts. The first part presents the discretization ...

Abstract: We present a novel application of a finite-volume technique to the numerical simulation of thermal convection within a rapidly rotating spherical shell. The performance of the method is ...

Viscous free-surface flows associated with water entry were predicted by a finite volume method incorporating a free-surface capturing model. The method was applied to simulate two- and ...