Quasi-Newton waveform iteration for partitioned surface-coupled multiphysics applications

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Quasi-Newton waveform iteration for partitioned surface-coupled multiphysics applications. / Rüth, Benjamin; Uekermann, Benjamin; Mehl, Miriam; Birken, Philipp; Monge, Azahar; Bungartz, Hans Joachim.

In: International Journal for Numerical Methods in Engineering, 02.06.2020.

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Rüth, Benjamin ; Uekermann, Benjamin ; Mehl, Miriam ; Birken, Philipp ; Monge, Azahar ; Bungartz, Hans Joachim. / Quasi-Newton waveform iteration for partitioned surface-coupled multiphysics applications. In: International Journal for Numerical Methods in Engineering. 2020.

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TY - JOUR

T1 - Quasi-Newton waveform iteration for partitioned surface-coupled multiphysics applications

AU - Rüth, Benjamin

AU - Uekermann, Benjamin

AU - Mehl, Miriam

AU - Birken, Philipp

AU - Monge, Azahar

AU - Bungartz, Hans Joachim

PY - 2020/6/2

Y1 - 2020/6/2

N2 - We present novel coupling schemes for partitioned multiphysics 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 multirate 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 testcases—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.

AB - We present novel coupling schemes for partitioned multiphysics 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 multirate 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 testcases—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.

KW - conjugate heat transfer

KW - fluid-structure interaction

KW - higher-order

KW - multiphysics

KW - multirate

KW - multiscale

KW - quasi-Newton

KW - waveform iteration

U2 - 10.1002/nme.6443

DO - 10.1002/nme.6443

M3 - Article

AN - SCOPUS:85089003691

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 1097-0207

ER -