The Development of a Numerical Solution to the Transport Equation. Report 3. Test Results.
COASTAL ENGINEERING RESEARCH CENTER VICKSBURG MS
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This report, Report 3 in a three-report series, presents the results of numerical experiments using the following schemes developed in the first two reports of the series 1 Forward Time Upwind Space FTUS, 2 Forward time Centered Space FTCS, 3 Spread Time Derivative Upwind Space STUS, 4 Spread Time Derivative Centered Space STCS, and 5 Flux Corrected Transport FCT. Experimental results on a 7 by 8 uniform grid are directly compared with analytical solutions for several sharp front problems. A 60 by 60 square grid was employed subsequently to test boundary condition effects. Based upon the uniform grid test results, the FCT scheme was incorporated within the U.S. Army Engineer Waterways Experiment Station Implicit Flooding Model WIFM and employed to simulate a sharp front problem on a variably spaced 6785-computational-cell global grid representing Mississippi Sound and adjacent areas. Author
- Hydrology, Limnology and Potamology