Mixed finite elements for Bingham flow in a pipe

DOI10.1007/s00211-022-01332-wOpenAlexW4308862654MaRDI QIDQ2100526

Philip L. Lederer, Tom Gustafsson

Publication date: 22 November 2022

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.11149

zbMATH Keywords

Bingham flowconforming finite elementsa priori and a posteriori error estimates

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Stability in context of PDEs (35B35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (1)

Two discretisations of the time-dependent Bingham problem

Uses Software

• SciPy
• NumPy
• Matplotlib
• Python
• scikit-fem

Cites Work

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• Error estimates for elasto-plastic problems
• Mixed and Stabilized Finite Element Methods for the Obstacle Problem
• Steady Bingham fluid flow in cylindrical pipes: a time dependent approach to the iterative solution
• On stagnant flow regions of a viscous-plastic medium in pipes
• On qualitative singularities of the flow of a viscoplastic medium in pipes
• Finite elements. Theory, fast solvers and applications in elasticity theory
• An adaptive finite element method for viscoplastic fluid flows in pipes

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