Extrapolation in Time in Thermal Fluid Structure Interaction

Philipp Birken; Tobias Gleim; Detlef Kuhl; Andreas Meister

doi:10.1007/978-3-319-22997-3_13

Extrapolation in Time in Thermal Fluid Structure Interaction

Philipp Birken, Tobias Gleim, Detlef Kuhl, Andreas Meister

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Abstract

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 upon this, we work on reducing the number of fixed point coupling iterations. Thus, we explore the idea of extrapolation based on data given from the time integration and derive such methods for SDIRK2. This allows to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic.

Original language	English
Title of host publication	Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering)
Editors	Miriam Mehl, Manfred Bischoff, Michael Schäfer
Publisher	Springer
Pages	215-231
Number of pages	17
Volume	105
DOIs	https://doi.org/10.1007/978-3-319-22997-3_13
Publication status	Published - 2015
Event	3rd International Workshop on Computational Engineering CE2014. - Stuttgart, Germany Duration: 2014 Oct 6 → 2014 Oct 10

Publication series

Name
Volume	105

Conference

Conference	3rd International Workshop on Computational Engineering CE2014.
Country/Territory	Germany
City	Stuttgart
Period	2014/10/06 → 2014/10/10

Bibliographical note

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

Subject classification (UKÄ)

Computational Mathematics

Access to Document

10.1007/978-3-319-22997-3_13

Cite this

Birken, P., Gleim, T., Kuhl, D., & Meister, A. (2015). Extrapolation in Time in Thermal Fluid Structure Interaction. In M. Mehl, M. Bischoff, & M. Schäfer (Eds.), Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering) (Vol. 105, pp. 215-231). Springer. https://doi.org/10.1007/978-3-319-22997-3_13

Birken, Philipp ; Gleim, Tobias ; Kuhl, Detlef et al. / Extrapolation in Time in Thermal Fluid Structure Interaction. Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering). editor / Miriam Mehl ; Manfred Bischoff ; Michael Schäfer. Vol. 105 Springer, 2015. pp. 215-231

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title = "Extrapolation in Time in Thermal Fluid Structure Interaction",

abstract = "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 upon this, we work on reducing the number of fixed point coupling iterations. Thus, we explore the idea of extrapolation based on data given from the time integration and derive such methods for SDIRK2. This allows to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic.",

author = "Philipp Birken and Tobias Gleim and Detlef Kuhl and Andreas Meister",

note = "The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004); 3rd International Workshop on Computational Engineering CE2014. ; Conference date: 06-10-2014 Through 10-10-2014",

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doi = "10.1007/978-3-319-22997-3_13",

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publisher = "Springer",

pages = "215--231",

editor = "Miriam Mehl and Manfred Bischoff and Michael Sch{\"a}fer",

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Birken, P, Gleim, T, Kuhl, D & Meister, A 2015, Extrapolation in Time in Thermal Fluid Structure Interaction. in M Mehl, M Bischoff & M Schäfer (eds), Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering). vol. 105, Springer, pp. 215-231, 3rd International Workshop on Computational Engineering CE2014., Stuttgart, Germany, 2014/10/06. https://doi.org/10.1007/978-3-319-22997-3_13

Extrapolation in Time in Thermal Fluid Structure Interaction. / Birken, Philipp; Gleim, Tobias; Kuhl, Detlef et al.
Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering). ed. / Miriam Mehl; Manfred Bischoff; Michael Schäfer. Vol. 105 Springer, 2015. p. 215-231.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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T1 - Extrapolation in Time in Thermal Fluid Structure Interaction

AU - Birken, Philipp

AU - Gleim, Tobias

AU - Kuhl, Detlef

AU - Meister, Andreas

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 upon this, we work on reducing the number of fixed point coupling iterations. Thus, we explore the idea of extrapolation based on data given from the time integration and derive such methods for SDIRK2. This allows to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic.

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 upon this, we work on reducing the number of fixed point coupling iterations. Thus, we explore the idea of extrapolation based on data given from the time integration and derive such methods for SDIRK2. This allows to reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic.

U2 - 10.1007/978-3-319-22997-3_13

DO - 10.1007/978-3-319-22997-3_13

M3 - Paper in conference proceeding

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SP - 215

EP - 231

BT - Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering)

A2 - Mehl, Miriam

A2 - Bischoff, Manfred

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PB - Springer

T2 - 3rd International Workshop on Computational Engineering CE2014.

Y2 - 6 October 2014 through 10 October 2014

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Birken P, Gleim T, Kuhl D, Meister A. Extrapolation in Time in Thermal Fluid Structure Interaction. In Mehl M, Bischoff M, Schäfer M, editors, Recent Trends in Computational Engineering - CE2014 : Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems (Lecture Notes in Computational Science and Engineering). Vol. 105. Springer. 2015. p. 215-231 doi: 10.1007/978-3-319-22997-3_13

Extrapolation in Time in Thermal Fluid Structure Interaction

Abstract

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Conference

Bibliographical note

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Cite this