20140604
Simulation of flow and transport processes in porous media provides a formidable challenge and application field for highperformance computing. Relevant continuumscale models include partial differential equations of elliptic, parabolic and hyperbolic type which are coupled through highly nonlinear coefficient functions. The multiscale character and uncertainties in the parameters constitute an additional level of complexity but provide also opportunities for highperformance computing.
This talk will focus on the efficient solution of incompressible twophase flow with a fullycoupled discontinuous Galerkin (DG) based approach that is comparable in efficiency (measured in accuracy per computation time) to simple cellcentered schemes but offers the opportunity to increase arithmetic intensity substantially in the assemble stage as well as the solve phase. For the fast solution of the arising linear systems a hybrid preconditioner based on subspace correction in the conforming finite element subspace is employed.
In a second example highorder DG methods for density driven flow are investigated with emphasis on scalability w.r.t. the polynomial degree and number of threads on shared memory machines.
Category: CE SeminarTechnische Universität Darmstadt
Graduate School CE
Dolivostraße 15
D64293 Darmstadt

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