Gazca Orozco PA (2021)
Publication Language: English
Publication Status: Published
Publication Type: Journal article
Future Publication Type: Journal article
Publication year: 2021
Publisher: ESAIM:M2AN
Book Volume: 55
Pages Range: 2679 - 2703
Article Number: 6
Journal Issue: ESAIM: M2AN
DOI: 10.1051/m2an/2021068
Open Access Link: https://arxiv.org/abs/2103.00263
We propose a semismooth Newton method for non-Newtonian models of incompressible flow where the constitutive relation between the shear stress and the symmetric velocity gradient is given implicitly; this class of constitutive relations captures for instance the models of Bingham and Herschel-Bulkley. The proposed method avoids the use of variational inequalities and is based on a particularly simple regularisation for which the (weak) convergence of the approximate stresses is known to hold. The system is analysed at the function space level and results in mesh-independent behaviour of the nonlinear iterations.
APA:
Gazca Orozco, P.A. (2021). A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow. Mathematical Modelling and Numerical Analysis, 55(ESAIM: M2AN), 2679 - 2703. https://dx.doi.org/10.1051/m2an/2021068
MLA:
Gazca Orozco, Pablo Alexei. "A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow." Mathematical Modelling and Numerical Analysis 55.ESAIM: M2AN (2021): 2679 - 2703.
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