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CHT-04 - Advances in Computational Heat Transfer III. Proceedings of the Third International Symposium
April, 19-24, 2004, on board MS Midnatsol Norwegian Coastal Voyage

DOI: 10.1615/ICHMT.2004.CHT-04


ISBN Print: 978-1-56700-174-7

ISSN: 2578-5486

NUMERICAL SIMULATION OF THE FILLING PROCESS IN DOMAINS PARTIALLY FILLED WITH POROUS MEDIA

page 17
DOI: 10.1615/ICHMT.2004.CHT-04.600
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RÉSUMÉ

The filling process of a two-dimensional domain that is only partially filled with a porous medium is studied numerically, for situations where the interface between the porous and open fluid domains is known a priori. The flow field in the open fluid domain is described by the Navier-Stokes equations, and the flow field within the fluid-saturated porous domain is described by the Brinkmann-Forchheimer model, thus allowing the treatment of situations that cannot be treated with the simpler Darcy flow model Treatment of the interface between the open and porous domains can be made in a physically consistent and easy way, as the Brinkmann-Forchheimer equations are of the same type and of the same order as the Navier-Stokes equations that describe the flow in the open fluid domain. The physical model is numerically solved using a control volume finite element method, which uses an equal-order interpolation for velocity and pressure. Special emphasis is given to the numerical simulation of the unsteady filling process, and to some relevant issues that can made the difference between success and failure. The filling front needs to be captured, and this is made using the volume fraction concept, a variable for which an unsteady advection equation is solved. The method is, in essence, the volume of fluid (VOF) method. Special care needs to be taken with the space discretization of the advection equation for the volume fraction, in order to obtain a narrow region identified as the filling front, the usual convective schemes introducing too much numerical diffusion and leading to a large and diffuse region for the filling front. Emphasis is also given to such special convective schemes, usually referred to as compressive schemes. Some simulation results of the filling process are presented and discussed.

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