ANÁLISIS COMPARATIVO DE ESQUEMAS NUMÉRICOS APLICADOS AL CASO DE LA ROTURA DE PRESA

Abstract

Traditional numerical schemes are frequently used in computing hydrodynamic models for simple problems. In general, the numerical results converge to the solution without significant errors. The particular case of a dam break provokes discontinuities in the solution which can not be approximated by the traditional methods properly. Therefore, high-order accuracy numerical schemes are required. This paper conducts a comparative analysis of explicit and implicit numerical schemes using finite difference discretization and the "shock-capturing methods", higher order methods based on finite volumes. The adjustment results to the analytical solution, represented by the RMS against variables such as the Courant number and computational time-cost, allow to distinguish between the most efficient and effective schemes. This being so, it follows that the methods based on finite volumes discretization reach a higher degree of fit of the analytical solution and a better balanced state between the RMS and the computational time-cost. Keywords: Saint-Venant equations; Numerical schemes; Finite volume method; Dam-break flow.