A comparison of stabilisation approaches for finite-volume simulation of viscoelastic fluid flow |
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| Authors: | Xingyuan Chen Holger Marschall Michael Schäfer Dieter Bothe |
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| Affiliation: | 1. Center of Smart Interfaces , Technische Universit?t Darmstadt , Petersenstra?e 17, Darmstadt , 64287 , Germany;2. Graduate School of Computational Engineering , Technische Universit?t Darmstadt , Dolivostra?e 15, Darmstadt , 64293 , Germany;3. Center of Smart Interfaces , Technische Universit?t Darmstadt , Petersenstra?e 17, Darmstadt , 64287 , Germany;4. Department of Numerical Methods in Mechanical Engineering , Technische Universit?t Darmstadt , Dolivostra?e 15, Darmstadt , 64293 , Germany;5. Department of Mathematics , Technische Universit?t Darmstadt , Schlossgartenstra?e 7, Darmstadt , 64289 , Germany |
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| Abstract: | In this work we compare different stabilisation approaches currently used in the simulation of viscoelastic fluid flow. These approaches are: the both-sides diffusion, the positive definiteness preserving scheme, the log-conformation tensor representation and the symmetry factorisation of the conformation tensor. The evaluation of these approaches is done regarding their implementation complexity, stability, accuracy, efficiency and applicability to complex problems. Their performances are examined for an Oldroyd-B fluid in the test cases of lid-driven cavity, flow past a cylinder and 4:1 contraction flow. We summarise the situations in which the different approaches can be recommended. |
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| Keywords: | viscoelastic fluid collocated finite-volume method high Weissenberg number problem stabilisation approach Oldroyd-B model |
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