Open Access Open Access  Restricted Access Subscription or Fee Access

Finite volume scheme for convection-diffusion problems

H. Belhadj

Abstract


This paper is devoted to the system of shallow water equations coupled to a transport equation. The obtained system of equations is of the convection diffusion type. The unstructured cell centred finite volume scheme is used for the discretization of the convection part. The MUSCL technique is applied to increase the accuracy of the scheme. The diffusion part of the system is discretized using a Green-Gauss interpolation technique based on diamond shaped co-volumes. Several applications in fluid dynamics were performed successfully. The test-case that is presented in this paper deals with the pollutant transport in a rectangular reservoir.

Keywords


Shallow water equations, transport equation, convection, diffusion, Finite volume method, unstructured mesh, Roe scheme, Green Gauss interpolation.

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.