ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS
By Kumbakonam R. Rajagopal. 2007
283 citations recorded by the source corpus.
Subfields: Mechanical Engineering, Ocean Engineering
View Paper: https://www.semanticscholar.org/paper/03cfb1d55c7efee8dcc154063695498e401a29d9
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In Mechanical Engineering
In Ocean Engineering
Citations in the corpus
- Mortar finite element discretization of a model coupling Darcy and Stokes equations (2008, background): “Of course, in more realistic models, the Stokes equations must be replaced by the Navier-Stokes equations (for instance when the river meets obstacles) and the Darcy equations must be replaced by more complex models as proposed in [33] (see also [4] or [20]).”
- Macroscopic model for unsteady flow in porous media (2019, background): “Despite its lack of rigorous formal derivation, this type of approach has been considered as a valid one and became classical over the past half-century (Rajagopal 2007; Bories et al. 2008; Nield & Bejan 2013).”
- H(div)-conforming Finite Elements for the Brinkman Problem (2011, background): “For a derivation of and details on the equations we refer to [17, 1, 2, 3, 21].”
- Analysis of finite element methods for the Brinkman problem (2010, unknown): “[11, 1, 2, 3, 15].”