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Discontinuous Galerkin finite element method for shallow two-phase flows
Rhebergen, S. and Bokhove, O. and van der Vegt, J.J.W. (2008) Discontinuous Galerkin finite element method for shallow two-phase flows. [Report]
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| 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. |
| Item Type: | Report |
| Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |
| Research Group: | |
| Link to this item: | http://purl.utwente.nl/publications/64904 |
| Official URL: | http://www.math.utwente.nl/publications |
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