A well-balanced high-resolution shape-preserving central scheme to solve one-dimensional sediment transport equations

[EN] We present a well-balanced high-resolution non-oscillatory central finite volume scheme for solving the shallow water equations with a non-flat bottom topology. Time integration is obtained following a Runge¿Kutta procedure, coupled with its natural continuous extension. We use a central scheme with a point value reconstruction algorithm based on average or flux values, which satisfies the monotonicity preserving property. We apply a special treatment for the source term spatial integration, which preserves the time and space accuracy and it results in a well-balanced scheme. Several one-dimensional test cases are used to verify the behaviour and non-oscillatory properties of our scheme.Angel Balaguer thanks the support of the Spanish Ministry of Education and Science in the framework of the Project CGL2009-14220-C02-01. This work was partially funded by the "Programa de Apoyo a la Investigacion y Desarrollo" (PAID-06-10) of the Polytechnic University of Valencia. We express our gratitude to the anonymous reviewers for their helpful comments.Capilla Romá, MT.; Balaguer Beser, ÁA. (2012). A well-balanced high-resolution shape-preserving central scheme to solve one-dimensional sediment transport equations. ADVANCES IN ENGINEERING SOFTWARE. 50:19-28. doi:10.1016/j.advengsoft.2012.04.003S19285