A nonlinear weighted least-squares finite element method for the Carreau-Yasuda non-Newtonian model

DOI10.1016/j.jmaa.2015.07.012zbMath1326.76063OpenAlexW1241421664MaRDI QIDQ493809

Hsueh-Chen Lee

Publication date: 4 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.07.012

zbMATH Keywords

weighted least-squaresshear-thinningnon-NewtonianCarreau-Yasudanonlinear weight

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) 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)

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An adaptive least-squares finite element method for Giesekus viscoelastic flow problems ⋮ 3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method ⋮ Numerical study of Cattaneo‐Christov heat transfer in MHD Carreau‐Yasuda hybrid nanofluid subjected to Buoyancy force ⋮ Adaptive weights for mass conservation in a least-squares finite element method ⋮ Numerical simulations of viscoelastic fluid flows past a transverse slot using least-squares finite element methods ⋮ A least-squares finite element method for steady flows across an unconfined square cylinder placed symmetrically in a plane channel

Cites Work

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• Numerical approximation of the Oldroyd‐B model by the weighted least‐squares/discontinuous Galerkin method
• Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method
• An Adaptively Refined Least-Squares Finite Element Method for Generalized Newtonian Fluid Flows Using the Carreau Model
• A locally conservative least‐squares method for Darcy flows

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