Direct-forcing immersed-boundary method: A simple correction preventing boundary slip error

JOURNAL OF COMPUTATIONAL PHYSICS

卷:435

Article

Gsell, Simon^1,2  Favier, Julien² 

[1] Aix Marseille Univ, Univ Toulon, Turing Ctr Living Syst, CPT,CNRS, Marseille, France

[2] Aix Marseille Univ, M2P2, Cent Marseille, CNRS, Marseille, France

关键词: Immersed-boundary method;    Direct-forcing method;    Computational fluid mechanics;    Lattice Boltzmann method;   

DOI  :  10.1016/j.jcp.2021.110265

来源: Elsevier

【 摘 要 】

The boundary slip error resulting from the interpolation/spreading non-reciprocity of the direct-forcing immersed-boundary method is analyzed based on a simple and generic theoretical framework. In explicit implementations, the slip error scales with the Courant number, as predicted by the analysis and confirmed by lattice-Boltzmann simulation results. Using an analytical approximation of the non-reciprocity error, the immersed boundary force can be corrected in order to prevent boundary slip and flow penetration. This a priori correction leads to a major improvement of the no-slip condition while avoiding any additional computational time or implementation effort. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free