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New computational challenges in fluid-structure interactions problems. (English) Zbl 1175.74093
Eberhardsteiner, Josef (ed.) et al., ECCOMAS multidisciplinary jubilee symposium. New computational challenges in materials, structures, and fluids. Papers based on the presentations at the conference (EMJS’08), Vienna, Austria, February 18–20, 2008. Dordrecht: Springer (ISBN 978-1-4020-9230-5/hbk; 978-1-4020-9231-2/ebook). Computational Methods in Applied Sciences 14, 17-31 (2009).
The authors propose the pressure segregation method for the solution of fluid-structure interactions (FSI) problems with special emphasis on added mass effects. These effects are discussed in three situations, when loosely and strongly coupled schemes are applied. The first ones require only the solution of the field per time step in a sequentially staggered manner, and are thus particularly appealing in terms of efficiency. The second ones give, after an iterative process, the same results as non-partitioned (monolithic) algorithms. Both of them lead to expensive simulations since, at each time step, a sub-iteration algorithm including the fluid and the structure domain has to be performed in the partitioned strongly coupled scheme. Alternatively, fully coupled systems including the equations for the fluid and structure must be solved for the monolithic procedure. The third situation when the added-mass effect produces complications concerns the monolithic solution of the FSI problem, where the pressure is segregated from the displacement or velocity fields. Here the fluid and solid equations must be solved together, and the iterative scheme to obtain the pressure may be difficult and even non-convergent. The aim of the article is to put in evidence that the added-mass effect is a consequence of the pressure segregation (the third case), and that a correct understanding of the pressure segregation effect yields different solutions to the added-mass problem which may be successfully applied to the first and second cases.
For the entire collection see [Zbl 1155.74005].
74S30 Other numerical methods in solid mechanics (MSC2010)
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)