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
SN - 0045-7825
VL - 362
JO - COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
JF - COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
M1 - 112841
ER -