Authors: | Westervoß, Patrick Turek, Stefan Damanik, Hogenrich Ouazzi, Abderrahim |
Title: | The "Tensor Diffusion" approach for simulating viscoelastic fluids |
Language (ISO): | en |
Abstract: | 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. |
Subject Headings (RSWK): | Numerische Strömungssimulation Viskoelastische Flüssigkeit Spannungstensor |
URI: | http://hdl.handle.net/2003/38432 http://dx.doi.org/10.17877/DE290R-20363 |
Issue Date: | 2019-11 |
Appears in Collections: | Ergebnisberichte des Instituts für Angewandte Mathematik |
Files in This Item:
File | Description | Size | Format | |
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Ergebnisbericht Nr. 617.pdf | DNB | 1.31 MB | Adobe PDF | View/Open |
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