Prabhakaran, S (2019) Total Variation Diminishing Finite Volume Scheme for Multi Dimensional Multi Species Transport with First Order Reaction Network. International Conference on Mathematical Analysis and Computing. pp. 481-498.

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Abstract

A Total Variation Diminishing (TVD) scheme for multi-species transport
with first-order reaction network in multidimensional space is discussed in this article.
The partial differential equations which describe this multi-species transport with
chain reactions are in the form of a coupled system. This system is then solved by
the TVD scheme with various flux limiters. The numerical diffusion controlled by
the flux limiters is explained in detail. The stability and consistency conditions of
the TVD scheme is also derived. The relation between the flux limiters and mesh
parameters is obtained through stability conditions. A necessary condition for a
scheme to be TVD is also derived.

Item Type: Article
Uncontrolled Keywords: Total variation diminishing · Finite volume method · Contamination transport · Stability · Consistency · Flux limiters
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 17 Nov 2022 06:53
Last Modified: 17 Nov 2022 06:56
URI: http://ir.psgcas.ac.in/id/eprint/1639

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