Augmented Lagrangian for shallow viscoplastic flow with topography

DOI10.1016/j.jcp.2013.02.029zbMath1309.76127OpenAlexW2011551140MaRDI QIDQ401567

Ioan R. Ionescu

Publication date: 27 August 2014

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.02.029

zbMATH Keywords

Coulomb frictionfinite elementsaugmented Lagrangiandiscontinuous GalerkinSaint-Venant modelsshallow flowtopographyviscoplastic fluidsdecomposition-coordination formulationupwind flux

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Granular flows (76T25)

Related Items (3)

Efficient numerical schemes for viscoplastic avalanches. I: The 1D case ⋮ Homogenization of Bingham flow in thin porous media ⋮ Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse

Cites Work

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• Shallow water equations for non-Newtonian fluids
• Onset and dynamic shallow flow of a viscoplastic fluid on a plane slope
• ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations
• The dynamics of avalanches of granular materials from initiation to runout. I: Analysis
• Plasticity and geophysical flows: a review
• On the numerical simulation of Bingham viscoplastic flow: old and new results
• On new erosion models of Savage-Hutter type for avalanches
• A consistent thin-layer theory for Bingham plastics
• A new model of Saint Venant and Savage--Hutter type for gravity driven shallow water flows.
• Approximate equations for the slow spreading of a thin sheet of Bingham plastic fluid
• The motion of a finite mass of granular material down a rough incline
• Gravity-driven free surface flow of granular avalanches over complex basal topography
• Shallow viscoplastic flow on an inclined plane
• Shallow-water theory for arbitrary slopes of the bottom
• Rapid shear flows of dry granular masses down curved and twisted channels
• Visco-plastic models of isothermal lava domes
• Slow spreading of a sheet of Bingham fluid on an inclined plane
• The Savage-Hutter theory: A system of partial differential equations for avalanche flows of snow, debris, and mud
• Channelized free-surface flow of cohesionless granular avalanches in a chute with shallow lateral curvature
• Soil mechanics and plastic analysis or limit design
• Viscoplastic flow over an inclined surface

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