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

Book chapter (2016)

Authors

D.S. Blom Aerodynamics - Aerospace Engineering
F. Lindner University of Stuttgart
Miriam Mehl University of Stuttgart
Klaudius Scheufele University of Stuttgart
Benjamin Uekermann Technische Universität München
A.H. van Zuijlen Aerodynamics - Aerospace Engineering
Research Group
Aerodynamics (Aerospace Engineering) (TU Delft)
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Published Date

2016

Language

English

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Faculty

Aerospace Engineering

Department

Flow Physics and Technology

Research Group

Aerodynamics

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.