Pressure jump interface law for the Stokes–Darcy coupling: confirmation by direct numerical simulations
It is generally accepted that the effective velocity of a viscous flow over a porous bed satisfies the Beavers–Joseph slip law. To the contrary, the interface law for the effective stress has been a subject of controversy. Recently, a pressure jump interface law has been rigourously derived by Marci...
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| Published in | Journal of fluid mechanics Vol. 732; pp. 510 - 536 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Cambridge, UK
Cambridge University Press
10.10.2013
Cambridge University Press (CUP) |
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| Abstract | It is generally accepted that the effective velocity of a viscous flow over a porous bed satisfies the Beavers–Joseph slip law. To the contrary, the interface law for the effective stress has been a subject of controversy. Recently, a pressure jump interface law has been rigourously derived by Marciniak-Czochra and Mikelić. In this paper, we provide a confirmation of the analytical result using direct numerical simulation of the flow at the microscopic level. To the best of the authors’ knowledge, this is the first numerical confirmation of the pressure interface law in the literature. |
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| AbstractList | It is generally accepted that the effective velocity of a viscous flow over a porous bed satisfies the Beavers–Joseph slip law. To the contrary, the interface law for the effective stress has been a subject of controversy. Recently, a pressure jump interface law has been rigourously derived by Marciniak-Czochra and Mikelić. In this paper, we provide a confirmation of the analytical result using direct numerical simulation of the flow at the microscopic level. To the best of the authors’ knowledge, this is the first numerical confirmation of the pressure interface law in the literature. |
| Author | Mikelić, A. Carraro, T. Marciniak-Czochra, A. Goll, C. |
| Author_xml | – sequence: 1 givenname: T. surname: Carraro fullname: Carraro, T. organization: Institute for Applied Mathematics, Heidelberg University, 69120 Heidelberg, Germany – sequence: 2 givenname: C. surname: Goll fullname: Goll, C. organization: Institute for Applied Mathematics, Heidelberg University, 69120 Heidelberg, Germany – sequence: 3 givenname: A. surname: Marciniak-Czochra fullname: Marciniak-Czochra, A. organization: Institute for Applied Mathematics, Heidelberg University, 69120 Heidelberg, Germany – sequence: 4 givenname: A. surname: Mikelić fullname: Mikelić, A. email: andro.mikelic@univ-lyon1.fr organization: Université de Lyon, CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, 43, boulevard du 11 novembre 1918, 69622 Villeurbanne CEDEX, France |
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| Cites_doi | 10.1016/0020-7225(75)90054-3 10.1145/1268776.1268779 10.1137/S1064827599360339 10.1002/(SICI)1097-0312(199601)49:1<1::AID-CPA1>3.0.CO;2-J 10.1016/0017-9310(94)00347-X 10.1007/978-3-642-04068-9_26 10.1017/S0022112087001149 10.1007/s11242-009-9344-y 10.1016/0017-9310(94)00346-W 10.1007/978-1-4757-3658-8 10.1007/978-1-4612-4254-3 10.1017/S0022112067001375 10.1007/978-1-4612-3172-1 10.1017/S0022112086000228 10.1017/jfm.2011.124 10.1016/S0377-0427(00)00513-6 10.1007/s11242-009-9354-9 10.1137/S003613999833678X 10.1016/j.compfluid.2005.02.001 10.1137/110838248 10.1017/S0962492901000010 10.1029/WR015i001p00001 10.1016/0017-9310(92)90258-T 10.1007/BF01036523 10.1137/1.9780898719208 10.1002/sapm197150293 |
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| Keywords | computational methods Navier–Stokes equations porous media Digital simulation Porous medium Two layer medium Modelling Fluid layer Slow flow Incompressible fluid Viscous fluids Mesh generation Navier-Stokes equations |
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| References | S0022112013004163_r1 Jäger (S0022112013004163_r13) 2000; 60 Zeytounian (S0022112013004163_r32) 2002 S0022112013004163_r3 S0022112013004163_r2 S0022112013004163_r5 S0022112013004163_r4 S0022112013004163_r7 S0022112013004163_r6 S0022112013004163_r9 S0022112013004163_r8 S0022112013004163_r21 S0022112013004163_r20 S0022112013004163_r16 S0022112013004163_r15 S0022112013004163_r18 S0022112013004163_r17 S0022112013004163_r11 S0022112013004163_r14 Tartar (S0022112013004163_r30) 1980 Ene (S0022112013004163_r10) 1975; 14 S0022112013004163_r19 S0022112013004163_r31 S0022112013004163_r27 S0022112013004163_r26 S0022112013004163_r29 S0022112013004163_r28 S0022112013004163_r23 S0022112013004163_r22 S0022112013004163_r25 Jäger (S0022112013004163_r12) 1996; 23 S0022112013004163_r24 |
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| Snippet | It is generally accepted that the effective velocity of a viscous flow over a porous bed satisfies the Beavers–Joseph slip law. To the contrary, the interface... |
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| SubjectTerms | Analysis of PDEs Computational methods in fluid dynamics Engineering Sciences Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Laminar flows Low-reynolds-number (creeping) flows Mathematics Physics Reactive fluid environment |
| Title | Pressure jump interface law for the Stokes–Darcy coupling: confirmation by direct numerical simulations |
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