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A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms

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A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms. / Hessenthaler, Andreas; Balmus, Maximilian; Röhrle, Oliver; Nordsletten, David.

In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol. 362, 112841, 15.04.2020.

Research output: Contribution to journalArticle

Harvard

Hessenthaler, A, Balmus, M, Röhrle, O & Nordsletten, D 2020, 'A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms', COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 362, 112841. https://doi.org/10.1016/j.cma.2020.112841

APA

Hessenthaler, A., Balmus, M., Röhrle, O., & Nordsletten, D. (2020). A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 362, [112841]. https://doi.org/10.1016/j.cma.2020.112841

Vancouver

Hessenthaler A, Balmus M, Röhrle O, Nordsletten D. A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 2020 Apr 15;362. 112841. https://doi.org/10.1016/j.cma.2020.112841

Author

Hessenthaler, Andreas ; Balmus, Maximilian ; Röhrle, Oliver ; Nordsletten, David. / A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms. In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 2020 ; Vol. 362.

Bibtex Download

@article{eae36aac8a774e14a128306a86207df2,
title = "A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms",
abstract = "Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of application-specific demands. While a range of numerical and experimental benchmarks are present in the literature, few solutions are available that enable both verification and spatiotemporal convergence analysis. In this paper, we introduce a class of analytic solutions to FSI problems involving shear in channels and pipes. Comprised of 16 separate analytic solutions, our approach is permuted to enable progressive verification and analysis of FSI methods and implementations, in two and three dimensions, for static and transient scenarios as well as for linear and hyperelastic solid materials. Results are shown for a range of analytic models exhibiting progressively complex behavior. The utility of these solutions for analysis of convergence behavior is further demonstrated using a previously published monolithic FSI technique. The resulting class of analytic solutions addresses a core challenge in the development of novel FSI algorithms and implementations, providing a progressive testbed for verification and detailed convergence analysis.",
keywords = "Analytic solutions, Convergence analysis, Fluid-structure interaction, Hyperelasticity, Linear elasticity, Navier-Stokes equations",
author = "Andreas Hessenthaler and Maximilian Balmus and Oliver R{\"o}hrle and David Nordsletten",
year = "2020",
month = "4",
day = "15",
doi = "10.1016/j.cma.2020.112841",
language = "English",
volume = "362",
journal = "COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING",
issn = "0045-7825",
publisher = "Elsevier",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms

AU - Hessenthaler, Andreas

AU - Balmus, Maximilian

AU - Röhrle, Oliver

AU - Nordsletten, David

PY - 2020/4/15

Y1 - 2020/4/15

N2 - Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of application-specific demands. While a range of numerical and experimental benchmarks are present in the literature, few solutions are available that enable both verification and spatiotemporal convergence analysis. In this paper, we introduce a class of analytic solutions to FSI problems involving shear in channels and pipes. Comprised of 16 separate analytic solutions, our approach is permuted to enable progressive verification and analysis of FSI methods and implementations, in two and three dimensions, for static and transient scenarios as well as for linear and hyperelastic solid materials. Results are shown for a range of analytic models exhibiting progressively complex behavior. The utility of these solutions for analysis of convergence behavior is further demonstrated using a previously published monolithic FSI technique. The resulting class of analytic solutions addresses a core challenge in the development of novel FSI algorithms and implementations, providing a progressive testbed for verification and detailed convergence analysis.

AB - Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of application-specific demands. While a range of numerical and experimental benchmarks are present in the literature, few solutions are available that enable both verification and spatiotemporal convergence analysis. In this paper, we introduce a class of analytic solutions to FSI problems involving shear in channels and pipes. Comprised of 16 separate analytic solutions, our approach is permuted to enable progressive verification and analysis of FSI methods and implementations, in two and three dimensions, for static and transient scenarios as well as for linear and hyperelastic solid materials. Results are shown for a range of analytic models exhibiting progressively complex behavior. The utility of these solutions for analysis of convergence behavior is further demonstrated using a previously published monolithic FSI technique. The resulting class of analytic solutions addresses a core challenge in the development of novel FSI algorithms and implementations, providing a progressive testbed for verification and detailed convergence analysis.

KW - Analytic solutions

KW - Convergence analysis

KW - Fluid-structure interaction

KW - Hyperelasticity

KW - Linear elasticity

KW - Navier-Stokes equations

UR - http://www.scopus.com/inward/record.url?scp=85078191332&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2020.112841

DO - 10.1016/j.cma.2020.112841

M3 - Article

AN - SCOPUS:85078191332

VL - 362

JO - COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

JF - COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

SN - 0045-7825

M1 - 112841

ER -

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