A weighted surface-depth gradient method for the numerical integration of the 2D shallow water equations with topography

摘要: A finite volume MUSCL scheme for the numerical integration of 2D shallow water equations is presented. In framework SLIC scheme, proposed weighted surface-depth gradient method (WSDGM) computes intercell depths through a average DGM and SGM reconstructions, in which weight function depends on local Froude number. This combination makes capable performing robust tracking wet/dry fronts and, together with an unsplit centered discretization bed slope source term, maintaining static condition non-flat topographies (C-property). correction fluxes computational cells depth smaller than fixed tolerance enables drastic reduction mass error presence wetting drying fronts. The effectiveness robustness are assessed by comparing results analytical reference solutions set test cases. Moreover, to show capability model field-scale applications, dam-break scenario