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Author

G. Barrenechea

2 papers indexed here

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Preprint Aug 2026

Dynamic subscales and unconditional semi-discrete stability for non-residual VMS approximations of generalised Newtonian flows

We analyse a non-residual variational multiscale finite element formulation with dynamic subscales for incompressible generalised Newtonian Navier--Stokes flows. The apparent viscosity is assumed to be bounded and Lipschitz continuous with respect to the shear rate, covering several regularised rheological laws. The me...

G. Barrenechea, E. Castillo, R. Codina et al. · 0 citations
Sep 2026

A finite element method for a non-Newtonian dilute polymer fluid

We study the discretisation of a uniaxial (rank-one) reduction of   the Oldroyd--B model for dilute polymer solutions, in which the   conformation tensor is represented as $\sig=\vec b\otimes\vec   b$. Building on structural analogies with magnetohydrodynamics   (MHD), we formulate a finite element framework compat...

T. Pryer, Ben S. Ashby, G. Barrenechea et al. · 0 citations

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