Bogaers, Alfred EJKok, SReddy, BDFranze, T2017-06-072017-06-072016-09Bogaers, A.E.J., Kok, S., Reddy, B.D. et al. 2016. An evaluation of quasi-Newton methods for application to FSI problems involving free surface flow and solid body contact. Computers and Structures, vol. 173: 71-83. https://doi.org/10.1016/j.compstruc.2016.05.0180045-7949http://www.sciencedirect.com/science/article/pii/S0045794916303078https://doi.org/10.1016/j.compstruc.2016.05.018http://hdl.handle.net/10204/9110Copyright: 2016 Elsevier. Due to copyright restrictions, the attached PDF file only contains the pre-print version of the article. For access to the definitive published version of the article, please consult the publisher's website.The design of coupling algorithms for partitioned fluid–structure interaction (FSI) simulations are typically validated on FSI problems involving large deformations of thin elastic structures with large added mass ratios. A large number of FSI problems may however feature additional internal non-linearities, examples of which include problems with free surface flow or FSI problems involving contact between two or more solid bodies. In this paper we aim to demonstrate the applicability of quasi-Newton methods when applied to these classes of problems. The analyses will focus on a comparison between two promising families of quasi-Newton methods, namely the ‘quasi-Newton least squares’ (QN-LS) family of methods and the ‘multi-vector iteratively updated quasi-Newton’ (MVQN) method. Both of these families of quasi-Newton methods construct approximations of the FSI system Jacobians using only iteratively obtained interface information, and can therefore be applied to black-box subdomain solvers. We will further attempt to quantify the ability of these QN methods to adequately approximate these additional non-linearities based on the form of the chosen interface equations.enQuasi-Newton methodsPartitioned fluid–structure interactionPartitioned FSIFree surface flowSolid body contactArticleBogaers, A. E., Kok, S., Reddy, B., & Franze, T. (2016). An evaluation of quasi-Newton methods for application to FSI problems involving free surface flow and solid body contact. http://hdl.handle.net/10204/9110Bogaers, Alfred EJ, S Kok, BD Reddy, and T Franze "An evaluation of quasi-Newton methods for application to FSI problems involving free surface flow and solid body contact." (2016) http://hdl.handle.net/10204/9110Bogaers AE, Kok S, Reddy B, Franze T. An evaluation of quasi-Newton methods for application to FSI problems involving free surface flow and solid body contact. 2016; http://hdl.handle.net/10204/9110.TY - Article AU - Bogaers, Alfred EJ AU - Kok, S AU - Reddy, BD AU - Franze, T AB - The design of coupling algorithms for partitioned fluid–structure interaction (FSI) simulations are typically validated on FSI problems involving large deformations of thin elastic structures with large added mass ratios. A large number of FSI problems may however feature additional internal non-linearities, examples of which include problems with free surface flow or FSI problems involving contact between two or more solid bodies. In this paper we aim to demonstrate the applicability of quasi-Newton methods when applied to these classes of problems. The analyses will focus on a comparison between two promising families of quasi-Newton methods, namely the ‘quasi-Newton least squares’ (QN-LS) family of methods and the ‘multi-vector iteratively updated quasi-Newton’ (MVQN) method. Both of these families of quasi-Newton methods construct approximations of the FSI system Jacobians using only iteratively obtained interface information, and can therefore be applied to black-box subdomain solvers. We will further attempt to quantify the ability of these QN methods to adequately approximate these additional non-linearities based on the form of the chosen interface equations. DA - 2016-09 DB - ResearchSpace DP - CSIR KW - Quasi-Newton methods KW - Partitioned fluid–structure interaction KW - Partitioned FSI KW - Free surface flow KW - Solid body contact LK - https://researchspace.csir.co.za PY - 2016 SM - 0045-7949 T1 - An evaluation of quasi-Newton methods for application to FSI problems involving free surface flow and solid body contact TI - An evaluation of quasi-Newton methods for application to FSI problems involving free surface flow and solid body contact UR - http://hdl.handle.net/10204/9110 ER -