A review on fast quasi-newton and accelerated fixed-point iterations for partitioned fluid-structure interaction simulation

David Blom, Florian Lindner, Miriam Mehl, Klaudius Scheufele, Benjamin Uekermann, Alexander van Zuijlen

Research output: Chapter in Book/Conference proceedings/Edited volumeChapterScientificpeer-review

Abstract

The partitioned simulation of fluid-structure interactions offers great flexibility in terms of exchanging flow and structure solver and using existing established codes. However,it often suffers from slow convergence and limited parallel scalability. Quasi-Newton or accelerated fixed-point iterations are a very efficient way to solve the convergence issue. At the same time,they stabilize and speed up not only the standard staggered fluid-structure coupling iterations,but also the variant with simultaneous execution of flow and structure solver that is fairly inefficient if no acceleration methods for the underlying fixed-point iteration are used. In this chapter,we present a review on combinations of iteration patterns (parallel and staggered) and of quasi-Newton methods and compare their suitability in terms of convergence speed,robustness,and parallel scalability. Some of these variants use the so-called manifold mapping that yields an additional speedup by using an approach that can be interpreted as a generalization of the multi-level idea.

Original languageEnglish
Title of host publicationAdvances in Computational Fluid-Structure Interaction and Flow Simulation
EditorsY. Bazilevs, K. Takizawa
Pages257-269
Number of pages13
ISBN (Electronic)978-3-319-40827-9
DOIs
Publication statusPublished - 2016

Publication series

NameModeling and Simulation in Science, Engineering and Technology
PublisherSpringer

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    Blom, D., Lindner, F., Mehl, M., Scheufele, K., Uekermann, B., & van Zuijlen, A. (2016). A review on fast quasi-newton and accelerated fixed-point iterations for partitioned fluid-structure interaction simulation. In Y. Bazilevs, & K. Takizawa (Eds.), Advances in Computational Fluid-Structure Interaction and Flow Simulation (pp. 257-269). (Modeling and Simulation in Science, Engineering and Technology). https://doi.org/10.1007/978-3-319-40827-9_20