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Weighted Finite Difference Method for Diffusive Transport

by Masamichi Kanoh, Kyushu Sangyo Univ, Japan,
Yukio Kuga, Kyushu Sangyo Univ, Japan,
Toshihiko Ueda, Kyushu Sangyo Univ, Japan,



Document Type: Proceeding Paper

Part of: Sediment Transport Modeling

Abstract:

The purpose of the paper is to present an application of a new method to the two-dimensional, transient advective-diffusive transport in both turbulent flow of viscous fluid and seepage flow in porous media. The method called the weighted finite difference method (WFDM) is based on the classical finite difference approach. The domain is discretised into irregular polygons rather than rectangles so that geometrically curved boundaries are allowed. This method has a relative error of order h⁴, h being the mesh spacing. The new method is stable and accurate in a wide range of Courant and diffusion numbers in turbulent flow. The numerical solutions in the advective-diffusive transport in porous media are compared with the experimental results.

Subject Headings: Fluid flow | Turbulent flow | Finite difference method | Porous media flow | Diffusion (porous media) | Diffusion (fluid) | Advection

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