Log In Sign Up

Quasi-Newton Waveform Iteration for Partitioned Fluid-Structure Interaction

by   Benjamin Rüth, et al.

We present novel coupling schemes for partitioned multi-physics simulation that combine four important aspects for strongly coupled problems: implicit coupling per time step, fast and robust acceleration of the corresponding iterative coupling, support for multi-rate time stepping, and higher-order convergence in time. To achieve this, we combine waveform relaxation – a known method to achieve higher order in applications with split time stepping based on continuous representations of coupling variables in time – with interface quasi-Newton coupling, which has been developed throughout the last decade and is generally accepted as a very robust iterative coupling method even for gluing together black-box simulation codes. We show convergence results (in terms of convergence of the iterative solver and in terms of approximation order in time) for two academic test cases – a heat transfer scenario and a fluid-structure interaction simulation. We show that we achieve the expected approximation order and that our iterative method is competitive in terms of iteration counts with those designed for simpler first-order-in-time coupling.


page 5

page 8

page 11

page 15


The Performance Impact of Newton Iterations per Solver Call in Partitioned Fluid-Structure Interaction

The cost of a partitioned fluid-structure interaction scheme is typicall...

IFOSMONDI Co-simulation Algorithm with Jacobian-Free Methods in PETSc

IFOSMONDI iterative algorithm for implicit co-simulation of coupled phys...

Variational Coupling Revisited: Simpler Models, Theoretical Connections, and Novel Applications

Variational models with coupling terms are becoming increasingly popular...

Waveform Relaxation with asynchronous time-integration

We consider Waveform Relaxation (WR) methods for partitioned time-integr...

Partitioned Deep Learning of Fluid-Structure Interaction

We present a partitioned neural network-based framework for learning of ...

A Multi-Vector Interface Quasi-Newton Method with Linear Complexity for Partitioned Fluid-Structure Interaction

In recent years, interface quasi-Newton methods have gained growing atte...