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Titel
The "Tensor Diffusion" approach for simulating viscoelastic fluids / P. Westervoß, S. Turek, H. Damanik, A. Ouazzi
VerfasserWestervoß, Patrick ; Turek, Stefan ; Damanik, Hogenrich ; Ouazzi, Abderrahim
ErschienenDortmund : Technische Universität Dortmund, Fakultät für Mathematik, November 2019
Ausgabe
Elektronische Ressource
Umfang1 Online-Ressource (23 Seiten) : Illustrationen
SerieErgebnisberichte angewandte Mathematik ; no. 617
SchlagwörterNumerische Strömungssimulation / Viskoelastische Flüssigkeit / Spannungstensor
URNurn:nbn:de:hbz:6:2-123455 
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The "Tensor Diffusion" approach for simulating viscoelastic fluids [0.89 mb]
Zusammenfassung

In this work, the novel "Tensor Diffusion" approach for simulating viscoelastic fluids is proposed, which is based on the idea, that the extra-stress tensor in the momentum equation of the flow model is replaced by a product of the strain-rate tensor and a tensor-valued viscosity. At least for simple flows, this approach offers the possibility to reduce the full nonlinear viscoelastic model to a generalized "Tensor Stokes" problem, avoiding the need of considering a separate stress tensor in the solution process. Besides fully developed channel flows, the "Tensor Diffusion" approach is evaluated as well in the context of general two-dimensional flow configurations, which are simulated by a suitable four-field formulation of the viscoelastic model respecting the "Tensor Diffusion". However, substituting the extra-stress tensor by the "Tensor Diffusion" in the complete flow model is desired for general two-dimensional flows as well, again to be able to reduce the full nonlinear viscoelastic model to a Stokes-like problem.

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