Finite volume scheme for modeling of NAPL vapor transport in air

Abstract

We present a mathematical and numerical model for non-isothermal, compressible flow of a mixture of two ideal gases subject to gravity. This flow is described by the balance equations for mass, momentum and energy that are solved numerically by the scheme based on themethod of lines. The spatial discretization is carried out by means of the finite volume method, where the staggered arrangement of variables is employed. The time integration is realized by the Runge-Kutta- Merson method. The article also contains test results obtained by the presented numerical scheme.