@book{5206899ce73a4798a3771d7fd939f2d2,

title = "Discontinuous Galerkin finite element method for shallow two-phase flows",

abstract = "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.",

keywords = "METIS-251114, MSC-76M10, MSC-35L65, MSC-76T99, MSC-35Q35, EWI-13138, IR-64904, MSC-65M60",

author = "Sander Rhebergen and Onno Bokhove and {van der Vegt}, {Jacobus J.W.}",

note = "http://eprints.ewi.utwente.nl/13138 ",

year = "2008",

month = aug,

language = "Undefined",

publisher = "University of Twente, Faculty of Mathematical Sciences",

number = "DTR08-9/1873",

}