Computational techniques for fluid dynamics 2
Computational techniques for fluid dynamics 2
On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows
Computer Methods in Applied Mechanics and Engineering
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Approximation of Time-Dependent Viscoelastic Fluid Flow: SUPG Approximation
SIAM Journal on Numerical Analysis
Computational Partial Differential Equations: Numerical Methods and Diffpack Programming
Computational Partial Differential Equations: Numerical Methods and Diffpack Programming
Finite volume and WENO scheme in one-dimensional vascular system modelling
Computers & Mathematics with Applications
Numerical study of shear-dependent non-Newtonian fluids in compliant vessels
Computers & Mathematics with Applications
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A hybrid combined finite element-finite volume method has been developed for the numerical simulation of shear-dependent viscoelastic flow problems governed by a generalized Oldroyd-B model with a non-constant viscosity function. The method is applied to the 4:1 planar contraction benchmark problem, to investigate the influence of the viscosity effects on the flow and results are compared with those found in the literature for creeping Oldroyd-B flows, for a range of Weissenberg numbers. The method is also applied to flow in a smooth stenosed channel. It is shown that the qualitative behavior of the flow is influenced by the rheological properties of the fluid, namely its viscoelastic and inertial effects, as well as the shear-thinning viscosity. These results appear in the framework of a preliminary study of the numerical simulation of steady and pulsatile blood flows in two-dimensional stenotic vessels, using this hybrid finite element-finite volume method.