A comparison of stabilisation approaches for finite-volume simulation of viscoelastic fluid flow

作者：Chen Xingyuan; Marschall Holger; Schaefer Michael; Bothe Dieter^*

来源：International Journal of Computational Fluid Dynamics, 2013, 27(6-7): 229-250.

DOI：10.1080/10618562.2013.829916

• viscoelastic fluid
• collocated finite-volume method
• high Weissenberg number problem
• stabilisation approach
• Oldroyd-B model

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.

• 出版日期2013-7-1