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Title: Discontinuous Galerkin finite element method for shallow two-phase flows Author:Rhebergen, Sander; Bokhove, Onno; van der Vegt, Jacobus J.W. Date:
Subject:Metis-251114 ; Msc-76m10 ; Msc-35l65 ; Msc-76t99 ; Msc-35q35 ; Ewi-13138 ; Ir-64904 ; Msc-65m60 Description:
We present a discontinuous Galerkin finite element method for two depth-averaged two-phase flow models. One of these models contains nonconservative products for which we developed a discontinuous Galerkin finite element formulation in Rhebergen et al. (2008) J. Comput. Phys. 227, 1887-1922. The other model is a new depth-averaged two-phase flow model we introduce for shallow two-phase flows that does not contain nonconservative products. We will compare numerical results of both models and qualitatively validate the models against a laboratory experiment. Furthermore, because of spurious oscillations that may occur near discontinuities, a WENO slope limiter is applied in conjunction with a discontinuity detector to detect regions where spurious oscillations appear.