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Two-phase shallow granular flow model

Spreading of a solid-fluid granular mass

Initial conditions: cylinder of height =1, with non-uniform solid volume fraction described by a Gaussian function. Inter-phase drag forces and bottom friction are taken into account.

  • height h
  • solid volume fraction

    The computational model uses Clawpack libraries.

    References:

  • M. Pelanti, F. Bouchut, and A. Mangeney, A Roe-Type Scheme for Two-Phase Shallow Granular Flows over Variable Topography, ESAIM: M2AN, 42, 851--885, 2008.
  • M. Pelanti and F. Bouchut, A Relaxation Method for Modeling Two-Phase Shallow Granular Flows, Proceedings of the Twelfth International Conference on Hyperbolic Problems, AMS, 2009.
  • M. Pelanti, F. Bouchut, and A. Mangeney, A Riemann Solver for Single-Phase and Two-Phase Shallow Flow Models based on Relaxation. Relations with Roe and VFRoe Solvers, J. Comput. Phys., 230, 515-550, 2011.
    pelanti@dma.ens.fr