The use of artificial compressibility to improve partitioned semi-implicit FSI coupling within the classical Chorin–Témam projection framework

He, Tao; Wang, Tong; Zhang, Hexin

Abstract

Over the last decade the classical Chorin–Témam projection method has been utilized to address fluid- structure interaction in a semi-implicit manner. In previous studies the fluid projection step is fully coupled with the structural motion due to the divergence-free constraint. A set of simultaneous equa- tions thus have to be iteratively solved. To overcome this difficulty, a simple and accurate partitioned semi-implicit coupling method is proposed based on the artificial compressibility (AC) in this paper. The iterated AC parameter decouples the pressure, end-of-step velocity and structural motion within the characteristic-based split scheme. The present approach is completely matrix-free and has unlimited ac- cess to the finite elements. Its performance is demonstrated for an oscillating bluffbody subjected to uniform flows.

Citation

He, T., Wang, T., & Zhang, H. (2018). The use of artificial compressibility to improve partitioned semi-implicit FSI coupling within the classical Chorin–Témam projection framework. Computers and Fluids, 166, 64-77. https://doi.org/10.1016/j.compfluid.2018.01.022

• Journal Article Type: Article
• Acceptance Date: Jan 22, 2018
• Online Publication Date: Feb 2, 2018
• Publication Date: Apr 30, 2018
• Deposit Date: Feb 9, 2018
• Publicly Available Date: Feb 3, 2019
• Journal: Computers & Fluids
• Print ISSN: 0045-7930
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 166
• Pages: 64-77
• DOI: https://doi.org/10.1016/j.compfluid.2018.01.022
• Keywords: Fluid-structure interaction; Semi-implicit coupling; Artificial compressibility; Projection method; CBS
• Public URL: http://researchrepository.napier.ac.uk/Output/1036653
• Contract Date: Feb 16, 2018