Fast Solvers for Unsteady Thermal Fluid Structure Interaction

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Fast Solvers for Unsteady Thermal Fluid Structure Interaction. / Birken, Philipp; Gleim, Tobias; Andreas, Kuhl; Andreas, Meister.

In: International Journal for Numerical Methods in Fluids, Vol. 79, No. 1, 2015, p. 16-29.

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Birken, Philipp ; Gleim, Tobias ; Andreas, Kuhl ; Andreas, Meister. / Fast Solvers for Unsteady Thermal Fluid Structure Interaction. In: International Journal for Numerical Methods in Fluids. 2015 ; Vol. 79, No. 1. pp. 16-29.

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TY - JOUR

T1 - Fast Solvers for Unsteady Thermal Fluid Structure Interaction

AU - Birken, Philipp

AU - Gleim, Tobias

AU - Andreas, Kuhl

AU - Andreas, Meister

N1 - The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)

PY - 2015

Y1 - 2015

N2 - We consider time-dependent thermal fluid structure interaction. The respective models are the compressible Navier–Stokes equations and the nonlinear heat equation. A partitioned coupling approach via a Dirichlet–Neumann method and a fixed point iteration is employed. As a reference solver, a previously developed efficient time-adaptive higher-order time integration scheme is used. To improve on this, we work on reducing the number of fixed point coupling iterations. Using the idea of extrapolation based on data given from the time integration by deriving such methods for SDIRK2, it is possible to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic. This leads to schemes that can use less than two iterations per time step. Furthermore, widely used vector extrapolation methods for convergence acceleration of the fixed point iteration are tested, namely Aitken relaxation, minimal polynomial extrapolation and reduced rank extrapolation. These have no beneficial effects.

AB - We consider time-dependent thermal fluid structure interaction. The respective models are the compressible Navier–Stokes equations and the nonlinear heat equation. A partitioned coupling approach via a Dirichlet–Neumann method and a fixed point iteration is employed. As a reference solver, a previously developed efficient time-adaptive higher-order time integration scheme is used. To improve on this, we work on reducing the number of fixed point coupling iterations. Using the idea of extrapolation based on data given from the time integration by deriving such methods for SDIRK2, it is possible to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic. This leads to schemes that can use less than two iterations per time step. Furthermore, widely used vector extrapolation methods for convergence acceleration of the fixed point iteration are tested, namely Aitken relaxation, minimal polynomial extrapolation and reduced rank extrapolation. These have no beneficial effects.

KW - thermal fluid structure interaction

KW - partitioned coupling

KW - convergence acceleration

KW - extrapolation

U2 - 10.1002/fld.4040

DO - 10.1002/fld.4040

M3 - Article

VL - 79

SP - 16

EP - 29

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

SN - 1097-0363

IS - 1

ER -