Numerical Modeling of Dam-Break Problem With a High Resolution Finite Difference Method

In this paper, a tyd version of the roe scheme based on fluxdifference splitting method has been applied for one and two dimensional numericalmodeling of dam-break problem. the accuracy of the proposed numerical schemehas been verified by comparing the results with the analytical solutions availablefrom some standard test problems and conventional finite difference schemes. theresults demonstrate robust and accurate behavior of the second-order roe-tydscheme in comparison with the first-order upwind- tyd scheme and the secondordernon-tyd lax-wendroffscheme. it has also been deduced that the superbeefor 10 problems and the minmod for 2d problems are the most appropriate limiterfunctions. in this scheme. finally, it has been shown that the scheme is able tosimulate bore-bore and bore-barrier interactions. the shape, location and magnitudeof the vortices caused by the interaction of the propagated bore and a cross-barrier atthe downstream of the dam has been simulated too