Navier–Stokes/Forchheimer models for filtration through porous media

By Flavio Cimolin, Marco Discacciati. 2013

88 citations recorded by the source corpus.

Abstract Modeling the filtration of incompressible fluids through porous media requires dealing with different types of partial differential equations in the fluid and porous subregions of the computational domain. Such equations must be coupled through physically significant continuity conditions at the interface separating the two subdomains. To avoid the difficulties of this heterogeneous approach, a widely used strategy is to consider the Navier–Stokes equations in the whole domain and to correct them introducing suitable terms that mimic the presence of the porous medium. In this paper we discuss these two different methodologies and we compare them numerically on a sample test case after proposing an iterative algorithm to solve a Navier–Stokes/Forchheimer problem. Finally, we apply these strategies to a problem of internal ventilation of motorbike helmets.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/03bcbfb64f3baa9383e7bb3dcbb0c3a9cacd7880

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In Computational Mechanics

1. Christian Rohde
2. Iryna Rybak
3. Jim Magiera
4. Rainer Helmig

Citations in the corpus

• Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems (2015, methodology): “Decoupled algorithms for steady-state, single-phase free and porous medium flow problems are based on iterative domain decomposition methods [5, 11, 12], while for non-stationary flow problems, non-iterative splitting schemes are usually applied [4, 9, 18, 19].”