High-Resolution Upwind Schemes for Solving Mass Transport Equation

by Jihn-Sung Lai, Univ of Carlifornia, Berkeley, United States,
Hsieh Wen Shen, (M.ASCE), Univ of Carlifornia, Berkeley, United States,
Dihua Zhao, Univ of Carlifornia, Berkeley, United States,

Document Type: Proceeding Paper

Part of: Hydraulic Engineering


A fractional-step algorithm is employed to solve the mass transport equation by decomposing the advection-dispersion equation into two portions, pure advection and pure dispersion. High-resolution upwind schemes with nonlinear flux limiters are applied to solve the advection portion. For dispersion, an explicit central difference scheme is used. In this paper, an initially rectangular concentration distribution and a continuously introduced concentration source are given to test the numerical scheme performance. The simulated results are compared with theoretical solutions to show the merits of high-resolution upwind schemes.

Subject Headings: Mass transport | Algorithms | Advection | Numerical models | Numerical methods | Equations of motion | Mass transfer | Mathematics

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