Gazca Orozco PA (2021)
Publication Type: Journal article
Publication year: 2021
Book Volume: 55
Pages Range: 2679-2703
Journal Issue: 6
DOI: 10.1051/m2an/2021068
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(6), 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 55.6 (2021): 2679-2703.
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