WIT Press


Solving The Depth-averaged Advection-diffusion Equation On Curvilinear Grids Using A Hybrid Flux- Corrected Transport Technique

Price

Free (open access)

Paper DOI

10.2495/WP970591

Volume

20

Pages

10

Published

1997

Size

851 kb

Author(s)

R.V. Pearson & R.W. Barber

Abstract

A numerical scheme has been developed to solve the depth-averaged advection-diffusion equation on non-orthogonal boundary-fitted curvilinear grids. The use of a finite-volume approach allows the diffusive terms to be solved using central-differences but the problem still remains of how to treat the advective terms in an Eulerian context. This problem is solved by the use of a characteristic based scheme which allows accurate calculation of fluxes through high-order interpolation functions. The fluxes are then limited using a flux-correction technique to give a

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