The history of the numerical treatment of hydrodynamic model is extremely long and has been provided a lot of variance in the numerical approaches. Commonly, the flooding models are simplified by elimination the source terms. In consequences they are limited to simulate bore propagation or flash flood occurred in dambreak events.
Using TVD-MacCORMACK, a two-stage scheme gives a benefit where source terms can be easily treated and preserves that whole scheme has second order accuracy in both time and space. However, if the bottom topography shows strong variation it is required a special treatment of the source terms to eliminate or reduce the artificial numerical error caused by adding TVD corrections to the MacCORMACK. The treatment of source terms related to strong bed slope is adopted here.
to be continued ....
Using TVD-MacCORMACK, a two-stage scheme gives a benefit where source terms can be easily treated and preserves that whole scheme has second order accuracy in both time and space. However, if the bottom topography shows strong variation it is required a special treatment of the source terms to eliminate or reduce the artificial numerical error caused by adding TVD corrections to the MacCORMACK. The treatment of source terms related to strong bed slope is adopted here.
to be continued ....
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