A numerical method for simulating discontinuous shallow flow over an infiltrating surface
✍ Scribed by Fritz R. Fiedler; Jorge A. Ramirez
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 357 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
A numerical method based on the MacCormack finite difference scheme is presented. The method was developed for simulating two-dimensional overland flow with spatially variable infiltration and microtopography using the hydrodynamic flow equations. The basic MacCormack scheme is enhanced by using the method of fractional steps to simplify application; treating the friction slope, a stiff source term, point-implicitly, plus, for numerical oscillation control and stability, upwinding the convective acceleration term. A higher-order smoothing operator is added to aid oscillation control when simulating flow over highly variable surfaces. Infiltration is simulated with the Green -Ampt model coupled to the surface water component in a manner that allows dynamic interaction. The developed method will also be useful for simulating irrigation, tidal flat and wetland circulation, and floods.