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    Coupling DuMuX and DUNE-PDELab to investigate evaporation at the interface between Darcy and Navier-Stokes flow
    (Stuttgart : SimTech - Cluster of Excellence, 2017) Grüninger, Christoph; Fetzer, Thomas; Flemisch, Bernd; Helmig, Rainer
    An implementation of a coupled Navier-Stokes/Darcy model based on different Dune discretization modules is presented. The Darcy model is taken from DuMuX, the Navier-Stokes model is implemented on top of Dune-PDELab, and the coupling is done with help of Dune-MultiDomain together with some project-specific auxiliary code. The Navier-Stokes model features one fluid phase, the Darcy model two fluid phases. Each fluid phase may be composed of two components, in addition, non-isothermal processes are considered. The coupling between free and porous-medium flow uses a sharp interface between both subdomains and conserves mass, momentum, and energy by accounting for the corresponding fluxes across the interface. A cell-centered finite volume method (FVM) is combined with a marker and cell (MAC) scheme. It solves the coupled problem in one monolithic system using a Newton method and a direct linear solver. Numerical results demonstrate the basic functioning and a lab-scale reference application.
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    Discontinuous Galerkin methods for two-phase flows in porous media
    (2010) Grüninger, Christoph
    In this work two-phase flows in porous media are simulated numerically with Discontinuous Galerkin methods. The three methods Symmetrical Interior Penalty Galerkin method (SIPG), Non-symmetrical Interior Penalty Galerkin method (NIPG) and the scheme from Oden, Babuška and Baumann (OBB) are considered. The terminology and the examples are taken from soil science. First the Richards equation is solved using these methods. Then a two-phase flows problem in the saturation/pressure formation is solved with OBB and NIPG. The numerical methods are implemented using the software toolkit PDELab. They are tested with examples from other publications. Weighted averages for absolute and relative permeabilities are examined.
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    ItemOpen Access