A well-balanced finite volume-augmented Lagrangian method for an integrated Herschel-Bulkley model

DOI10.1007/S10915-012-9591-XzbMath1426.76327OpenAlexW1977516808MaRDI QIDQ1936308

C. Acary-Robert, Paul Vigneaux, Enrique D. Fernández-Nieto, Gladys Narbona-Reina

Publication date: 4 February 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-012-9591-x

zbMATH Keywords

variational inequalityfinite volumewell balancedHerschel-Bulkleyavalancheviscous shallow water

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Finite volume methods applied to problems in fluid mechanics (76M12)

Related Items (6)

Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime ⋮ Efficient numerical schemes for viscoplastic avalanches. I: The 1D case ⋮ Multi-regime shallow free surface laminar flow models for quasi-Newtonian fluids ⋮ Multilayer models for hydrostatic Herschel-Bulkley viscoplastic flows ⋮ Layer-averaged approximation of Navier–Stokes system with complex rheologies ⋮ A multilayer method for the hydrostatic Navier-Stokes equations: a particular weak solution

Uses Software

• PVM

Cites Work

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• The dam-break problem for Herschel-Bulkley viscoplastic fluids down steep flumes
• Extension of WAF type methods to non-homogeneous shallow water equations with pollutant
• Plasticity and geophysical flows: a review
• On the numerical simulation of Bingham viscoplastic flow: old and new results
• Two-dimensional dam break flows of Herschel--Bulkley fluids: the approach to the arrested state
• Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids
• Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
• Upwind methods for hyperbolic conservation laws with source terms
• On the Numerical Simulation of Viscoplastic Fluid Flow
• A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
• On Well‐Balanced Finite Volume Methods for Nonconservative Nonhomogeneous Hyperbolic Systems
• A Herschel–Bulkley model for mud flow down a slope
• Visco-plastic models of isothermal lava domes
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• Viscoplastic flow over an inclined surface

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