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Unified formal reduction for fluid models of free-surface shallow gravity-flows

Abstract : We propose a unified approach to the formal long-wave reduction of several fluid models for thin-layer incompressible homogeneous flows driven by a constant external force like gravity. The procedure is based on a mathematical coherence property that univoquely defines one reduced model given one rheology and one thin-layer regime. For the first time, as far as we know, various known reduced models can thus be investigated within a single mathematical framework, for various rheologies (viscous and viscoelastic) and various limit regimes (fast inertial flows and slow viscous flows). Furthermore, our systematic procedure also produces new reduced models for viscoelastic non-Newtonian fluids and improves on our previous work [Bouchut & Boyaval, M3AS (23) 8, 2013].
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https://hal-enpc.archives-ouvertes.fr/hal-00833468
Contributeur : Sébastien Boyaval Connectez-vous pour contacter le contributeur
Soumis le : mercredi 12 juin 2013 - 17:51:26
Dernière modification le : mardi 19 octobre 2021 - 16:06:44
Archivage à long terme le : : vendredi 13 septembre 2013 - 08:35:08

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  • HAL Id : hal-00833468, version 1
  • ARXIV : 1306.3464

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François Bouchut, Sébastien Boyaval. Unified formal reduction for fluid models of free-surface shallow gravity-flows. 2013. ⟨hal-00833468v1⟩

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