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2010•Unpublished venueRequires access

A Higher Order Upwind Scheme for Three-Dimensional Finite Difference Model of Conservative Pollutants Transport

Liu Yuling, Sheng Gao

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Abstract

A three-dimensional finite difference transport model appropriate for the coastal environment is developed for the solution of the three-dimensional convection-diffusion equation. A higher order upwind scheme is used for the convective terms of the convection-diffusion equation, to minimize the numerical diffusion. The validity of the numerical model is verified through a test problem, whose exact solutions are known.

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What this paper is about

A three-dimensional finite difference transport model appropriate for the coastal environment is developed for the solution of the three-dimensional convection-diffusion equation. A higher order upwind scheme is used for the convective terms of the convection-diffusion equation, to minimize the numerical diffusion. The validity of the numerical model is verified through a test problem, whose exact solutions are known.

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Available abstract

A three-dimensional finite difference transport model appropriate for the coastal environment is developed for the solution of the three-dimensional convection-diffusion equation. A higher order upwind scheme is used for the convective terms of the convection-diffusion equation, to minimize the numerical diffusion. The validity of the numerical model is verified through a test problem, whose exact solutions are known.

Key concepts: Upwind scheme, Convection–diffusion equation, Convection, Diffusion, Numerical solution of the convection–diffusion equation, Finite difference method, Applied mathematics, Finite difference

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