On numerical simulation of flow through oil filters

Angot, Ph.: Analysis of singular perturbations on the Brinkman problem for fictitious domain models of viscous flows. Math. Meth. Appl. Sci. 22, 1395–1412 (1999)

Bear, J., Bachmat, Y.: Introduction to modeling of transport phenomena in porous media. Dordrecht etc.: Kluwer Academic Publishers, 1990

Beavers, G.S., Joseph, D.D.: Boundary conditions at a naturally permeable wall. J. Fluid Mech. 30, 197–207 (1967)

Fletcher, C.A.J.: Computational techniques for fluid dynamics. Vol. 2. Specific techniques for different flow categories. Berlin etc.: Springer 1991

Ghia, U., Ghia, K.N., Shin, C.T.: High-Re solutions for incompressible flow using the Navier–Stokes equations and a multigrid method. J. Comput. Phys. 48, 387–411 (1982)

Iliev, O., Stoyanov, D.: On a flexible tool for upscaling porous media flow problems. J. Theoretical and Applied Mechanics. 31(1), 18–30 (2001)

Jäger, W., Mikelić, A.: On the boundary conditions at the contact interface between a porous medium and a free fluid. Ann. Sc. Norm. Super. Pisa, Cl. Sci.,IV. 23, 403–465 (1996)

Jäger, W., Mikelic, A., Neuss, N.: Asymptotic analysis of the laminar viscous flow over a porous bed. SIAM J. Sci. Comput. 22, 2006–2028 (2001)

Kaviany, M.: Principles of Heat Transfer in Porous media. New York etc.: Springer 1991

Layton, W.J., Schieweck, F., Yotov, I.: Coupling Fluid Flow with Porous Media Flow. Universität Magdeburg, Fakultat für Mathematik, Preprint 22, 1–24 (2001)

Levy, T., Sanchez-Palencia, E.: On boundary conditions for fluid flow in porous media. Int. J Engng Sci 13, 923–940 (1975)

Massarotti, N., Nithiarasu, P., Zienkiewicz, O.C.: Porous–Fluid Interface Problems. A Characteristic-Based-Split (CBS) Procedure. ECCOMAS 2000, Barcelona 11–14 Sep. 2000

Mikelic, A.: Homogenization theory and applications to filtration through porous media. Filtration in Porous Media and Industrial Applications. Centro Internazionale Matematico Estivo (C.I.M.E.) Series, Lecture Notes in Mathematics, Springer, (2000), 1–86

Ochoa-Tapia, J.A., Whitaker, S.: Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I. Theoretical development., II. Comparison with experiment. Int. J. Heat Mass Transfer, 38, 2635–2656 (1995)

Ferziger, J.H., Peric, M.: Computational methods for fluid dynamics. Berlin: Springer 1996

Rief S.: Private communication

Versteeg, H.K., Malalasekera, W.: An Introduction to Computational Fluid Dynamics. Malaysia: Longman Scientific & Technical 1995

Fraunhofer Institut für Techno- und Wirtschaftsmathematik, Kaiserslautern, Germany. Annual Reports 2000, 2001. http://www.itwm.fhg.de (Menu: Publications.Annual Report.2000; Annual Report.2001)