Space-mapping in fluid–structure interaction problems

Multi-level acceleration with manifold mapping of strongly coupled partitioned fluid–structure interaction

“…Contrary to manifold mapping, convergence of the space mapping iterate to the solution of the fine model problem is not guaranteed, as proven by Echeverría in [43]. Scholcz et al [27] also observe this problem for a fluid-structure interaction problem. Their solution is to switch from the space mapping algorithm to the Anderson acceleration method in case the method is not converging.…”

“…multi-fidelity optimization, such as aggressive space mapping [35] and output space mapping [37], can also be used to minimize the interface residual. Scholcz et al [27] proposed a framework for the application of the space mapping technique to partitioned fluid-structure interaction problems, in order to speed up the convergence of high-fidelity simulations. The application of the aggressive space mapping algorithm was demonstrated on various academic fluid-structure interaction problems.…”

“…The algorithm is based upon a quasi-Newton method in combination with firstorder derivative approximations which are updated by the Broyden formula. Another approach would be to apply the IQN-ILS formulation as in the ASM-ILS technique [27]. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 …”

“…In case the coupling between the fluid flow and structural deformation is very strong (strongly coupled FSI), which is generally the case for large fluid/solid density ratios or due to the incompressibility of the fluid (see [26]), convergence of the sub-iterations is hard to achieve. One idea is to perform a large amount of the sub-iterations with a low-fidelity model, instead of the current high-fidelity flow and structure models [27]. The question remains how to efficiently couple the multi-fidelity models.…”

“…Originating from multi-fidelity optimization, the aggressive space mapping algorithm has been used in [27] to efficiently couple a high-fidelity model with a low-fidelity model for a fluid-structure interaction problem. Scholcz et al consider the fluid-structure interaction interface problem as an optimization problem.…”