TY - JOUR
T1 - Verification and convergence study of a spectral-element numerical methodology for fluid-structure interaction
AU - Xu, Yi Qin
AU - Peet, Yulia T.
N1 - Funding Information:
This work has been supported by NSF CBET-1707075 , NSF CMMI-1762827 , and NSF CAREER-1944568 grants. The computational time was provided by NSF XSEDE research allocation on TACC Stampede2 system.
Publisher Copyright:
© 2021 The Author(s)
PY - 2021/3
Y1 - 2021/3
N2 - A high-order in space spectral-element methodology for the solution of a strongly coupled fluid-structure interaction (FSI) problem is developed. A methodology is based on a partitioned solution of incompressible fluid equations on body-fitted grids, and nonlinearly-elastic solid deformation equations coupled via a fixed-point iteration approach with Aitken relaxation. A comprehensive verification strategy of the developed methodology is presented, including h-, p- and temporal refinement studies. An expected order of convergence is demonstrated first separately for the corresponding fluid and solid solvers, followed by a self-convergence study on a coupled FSI problem (self-convergence refers to a convergence to a reference solution obtained with the same solver at higher resolution). To this end, a new three-dimensional fluid-structure interaction benchmark is proposed for a verification of the FSI codes, which consists of a fluid flow in a channel with one rigid and one flexible wall. It is shown that, due to a consistent problem formulation, including initial and boundary conditions, a high-order spatial convergence on a fully coupled FSI problem can be demonstrated. Finally, a developed framework is applied successfully to a Direct Numerical Simulation of a turbulent flow in a channel interacting with a compliant wall, where the fluid-structure interface is fully resolved.
AB - A high-order in space spectral-element methodology for the solution of a strongly coupled fluid-structure interaction (FSI) problem is developed. A methodology is based on a partitioned solution of incompressible fluid equations on body-fitted grids, and nonlinearly-elastic solid deformation equations coupled via a fixed-point iteration approach with Aitken relaxation. A comprehensive verification strategy of the developed methodology is presented, including h-, p- and temporal refinement studies. An expected order of convergence is demonstrated first separately for the corresponding fluid and solid solvers, followed by a self-convergence study on a coupled FSI problem (self-convergence refers to a convergence to a reference solution obtained with the same solver at higher resolution). To this end, a new three-dimensional fluid-structure interaction benchmark is proposed for a verification of the FSI codes, which consists of a fluid flow in a channel with one rigid and one flexible wall. It is shown that, due to a consistent problem formulation, including initial and boundary conditions, a high-order spatial convergence on a fully coupled FSI problem can be demonstrated. Finally, a developed framework is applied successfully to a Direct Numerical Simulation of a turbulent flow in a channel interacting with a compliant wall, where the fluid-structure interface is fully resolved.
KW - Fluid-structure interaction
KW - Spectral-element method
KW - Turbulent flow
KW - h/p-refinement
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U2 - 10.1016/j.jcpx.2021.100084
DO - 10.1016/j.jcpx.2021.100084
M3 - Article
AN - SCOPUS:85100619340
SN - 2590-0552
VL - 10
JO - Journal of Computational Physics: X
JF - Journal of Computational Physics: X
M1 - 100084
ER -