Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography

Abstract : We study a depth-averaged model of gravity-driven mixtures of solid grains and fluid moving over variable basal surface. The particular application we are interested in is the numerical description of geophysical flows such as avalanches and debris flows, which typically contain both solid material and interstitial fluid. The depth-averaged mass and momentum equations for the solid and fluid components form a non-conservative system, where non-conservative terms involving the derivatives of the unknowns couple together the sets of equations of the two phases. The system can be shown to be hyperbolic at least when the difference of velocities of the two constituents is sufficiently small. We numerically solve the model equations in one dimension by a finite volume scheme based on a Roe-type Riemann solver. Well-balancing of topography source terms is obtained via a technique that includes these contributions into the wave structure of the Riemann solution.
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Conference papers
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Contributor : Marica Pelanti <>
Submitted on : Thursday, July 7, 2016 - 10:52:17 AM
Last modification on : Wednesday, July 3, 2019 - 10:48:05 AM

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  • HAL Id : hal-01342951, version 1

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Marica Pelanti, François Bouchut, Anne Mangeney, J. P. Vilotte. Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography. Proceedings of the Eleventh International Conference on Hyperbolic Problems, 2006, Lyon, France. pp.825-832. ⟨hal-01342951⟩

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