Comparing the Upwind and Central Methods in Estimating Bed Slope Source Term in SWE With Standing Shock Waves

In this paper, depth averaged shallow water equations are solved numerically in a supercritical flow with standing shock waves. The algorithm applying finite volume Roe-TVD method on unstructured triangular cells. Bed fraction and turbulence source terms are computed with manning formula and ASM models respectively. Ordinary center and an upwind scheme are used for considering bed slope source term. Flow in canal with a side baffle are simulated numerically and results compared withexperimental data. Numerical results show that the Roe-TVD scheme can imulated standing shocks carefully and the central method for bed slope source term have better results than upwind method.

کلیدواژه ها:

Roe-TVD ، Shallow Water Equations ، Bed Slope Source Term ، ASM ، Oblique Waves