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Variational Models and Methods in Solid and Fluid Mechanics pp 315–358Cite as

Fluid Shock Wave Generation at Solid-Material Discontinuity Surfaces in Porous Media

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Part of the book series: CISM Courses and Lectures ((CISM,volume 535))

Abstract

A general set of boundary conditions at the interface between dissimilar fluid-filled porous matrices is established starting from an extended Hamilton-Rayleigh principle. These conditions do include inertial effects. Once linearized, they encompass boundary conditions relative to volume Darcy-Brinkman and to surface Saffman-Beavers-Joseph-Deresiewicz dissipation effects.

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Authors and Affiliations

  1. Dip. DISG, Università di Roma “La Sapienza”, via Eudossiana 18, 00184, Rome, Italy

    Francesco dell’Isola

  2. Laboratorio di Strutture e Materiali Intelligenti, Fondazione Tullio Levi-Civita, Cisterna di Latina, Italy

    Francesco dell’Isola

  3. Inst. de Mathematique, Université de Toulon, Av. de l’Université, BP 132, 83957, La Garde Cedex, France

    Pierre Seppecher

  4. Laboratoire de Génie Civil et Ingénierie Environnementale, Université de Lyon-INSA, Bâtiment Coulomb, 69621, Villeurbanne Cedex, France

    Angela Madeo

  5. International Research Centre on “Mathematics & Mechanics of Complex Systems” M& MOCS, Italy

    Francesco dell’Isola, Pierre Seppecher & Angela Madeo

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  1. Francesco dell’Isola
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  2. Pierre Seppecher
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  3. Angela Madeo
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  1. Università “La Sapienza”, Roma, Italy

    Francesco dell’Isola

  2. Polytech Marseille, France

    Sergey Gavrilyuk

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dell’Isola, F., Seppecher, P., Madeo, A. (2011). Fluid Shock Wave Generation at Solid-Material Discontinuity Surfaces in Porous Media. In: dell’Isola, F., Gavrilyuk, S. (eds) Variational Models and Methods in Solid and Fluid Mechanics. CISM Courses and Lectures, vol 535. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0983-0_7

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