A two-phase shallow debris flow model with energy balance

DOI10.1051/M2AN/2014026zbMath1310.76172OpenAlexW1971056309WikidataQ57964551 ScholiaQ57964551MaRDI QIDQ4981950

Enrique D. Fernández-Nieto, Anne Mangeney-Castelnau, François Bouchut, Gladys Narbona-Reina

Publication date: 23 March 2015

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-00860871/file/bfmn.pdf

zbMATH Keywords

finite volume schemesprojection methodenergy balancethin layer approximationgranular flowstwo-phase flowsnon-conservative systems

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite volume methods applied to problems in fluid mechanics (76M12) Granular flows (76T25)

Related Items (7)

Multilayer models for shallow two-phase debris flows with dilatancy effects ⋮ Modeling shallow water waves ⋮ Non-isochoric stable granular models taking into account fluidisation by pore gas pressure ⋮ A multilayer shallow model for dry granular flows with the -rheology: application to granular collapse on erodible beds ⋮ A multilayer shallow water approach for polydisperse sedimentation with sediment compressibility and mixture viscosity ⋮ A two-layer shallow flow model with two axes of integration, well-balanced discretization and application to submarine avalanches ⋮ A two-phase two-layer model for fluidized granular flows with dilatancy effects

Cites Work

• Unnamed Item
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• A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers
• On new erosion models of Savage-Hutter type for avalanches
• A new model of Saint Venant and Savage--Hutter type for gravity driven shallow water flows.
• Searching for the perfect packing
• Micro-rheology of dense particulate flows: application to immersed avalanches
• Gravity driven shallow water models for arbitrary topography
• Dense suspensions in rotating-rod flows: normal stresses and particle migration
• A Roe-type scheme for two-phase shallow granular flows over variable topography
• A two-phase flow description of the initiation of underwater granular avalanches
• On the role of the ambient fluid on gravitational granular flow dynamics
• The motion of a finite mass of granular material down a rough incline
• Instabilities and the formation of bubbles in fluidized beds
• A two-fluid model for avalanche and debris flows
• Sediment dynamics. Part 1. Bed-load transport by laminar shearing flows
• On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
• Two problems in the gravity flow of granular materials

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