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Titel
Simulating two-dimensional viscoelastic fluid flows by means of the "Tensor Diffusion" approach / P. Westervoß, S. Turek
VerfasserWestervoß, Patrick ; Turek, Stefan
ErschienenDortmund : Technische Universität Dortmund, Fakultät für Mathematik, December 2019
Ausgabe
Elektronische Ressource
Umfang1 Online-Ressource (8 Seiten) : Illustrationen
SerieErgebnisberichte angewandte Mathematik ; no. 622
SchlagwörterViskoelastische Flüssigkeit / Spannungstensor / Navier-Stokes-Gleichung
URNurn:nbn:de:hbz:6:2-125260 
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Simulating two-dimensional viscoelastic fluid flows by means of the "Tensor Diffusion" approach [0.26 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".

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