Direct Minimization of the Discontinuous Least-Squares Spectral Element Method for Viscoelastic Fluids

Authors:
Marc I. Gerritsma
Affiliations:
Aerospace Engineering, Delft University of Technology, Delft, The Netherlands 2629 HS
Venue:
Journal of Scientific Computing
Year:
2006

Citing 10
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Abstract

In this paper direct minimization of the discontinuous least-squares spectral element formulation is described. The method will beapplied to the Upper Convected Maxwell (UCM) model which describes a viscoelastic fluid. The new ideas presented in this paper consist of the weak coupling of the fluxes in the least-squares formulations instead of imposing weak continuity of the dependent variables. Furthermore, direct minimization is employed instead of the conventional variational least-squares formulation. The resulting system is solved iteratively using LSQR.