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

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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.

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  1. Aerospace Engineering, Delft University of Technology, Kluyverweg 1, 2629 HS, Delft, The Netherlands

    Marc I. Gerritsma

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  1. Marc I. Gerritsma
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Correspondence to Marc I. Gerritsma.

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Gerritsma, M.I. Direct Minimization of the Discontinuous Least-Squares Spectral Element Method for Viscoelastic Fluids. J Sci Comput 27, 245–256 (2006). https://doi.org/10.1007/s10915-005-9042-z

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  • DOI: https://doi.org/10.1007/s10915-005-9042-z

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