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Numerical simulation of the two-phase flow by the finite element-discontinuous Galerkin method

Thursday, January 28, 2016 5:00 PM;

JGU Mainz, Mathematics, Hilbert-Raum

Speaker: Miloslav Feistauer; Charles University, Prague

The subject of the lecture is the numerical simulation of two-phase flow of immiscible fluids. Their motion is described by the incompressible Navier-Stokes equations with piecewise constant density and viscosity. The interface between the fluids is defined with the aid of the level-set method using a transport first-order hyperbolic equation. The Navier-Stokes system equipped with initial and boundary conditions and transmission conditions on the interface between the fluids is discretized by the Taylor-Hood P2/P1 conforming finite elements in space and the second-order BDF method in time. The transport level-set problem is solved with the aid of the space-time discontinuous Galerkin method (DGM). The second part of the lecture is devoted to the theoretical analysis of the DGM for the level-set problem. Numerical experiments demonstrate the applicability, accuracy and robustness of the developed method.


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