Time-dependent algorithms for viscoelastic flow: bridge between finite-volume and finite-element methodology
نویسنده
چکیده
This article considers transient, planar Poiseuille flows for viscoelastic fluids. We propose a novel time-dependent hybrid finite volume (fv)/finite element (fe) algorithm. This approach combines a Taylor-Galerkin fe-treatment for mass and momentum conservation equations, with a cell-vertex fv-discretisation of the hyperbolic stress constitutive equation. A consistent formulation for the constitutive equation is key. This incorporates fe and fv-treatment of the various terms. In this manner, an accurate transient algorithm emerges, which reproduces analytical solution structure, both in core-flow and across shear-boundary zones.
منابع مشابه
Time-Dependent Algorithms for Viscoelastic Flow - finite element/volume schemes
Hybrid finite volume/element methods are investigated within the context of transient viscoelastic flows. A finite volume algorithm is proposed for the hyperbolic constitutive equation, of Oldroyd-form, whilst the continuity/momentum balance is accommodated through a TaylorGalerkin finite element method. Various finite volume combinations are considered to derive accurate and stable implementat...
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