On the Choice of Interface Parameters in Robin–Robin Loosely Coupled Schemes for Fluid–Structure Interaction
Abstract
:1. Introduction
2. Mathematical and Numerical Setting
2.1. The Continuous Problem
2.2. Robin Robin Loosely Coupled Scheme
Algorithm 1:Explicit Robin–Robin scheme |
Given two scalars and quantities at previous time steps, at time step solve in sequence:
|
3. On the Choice of the Interface Parameters
3.1. Convergence Analysis of the Implicit Robin–Robin Scheme
Algorithm 2 Implicit Robin–Robin scheme for the simplified FSI problem |
Given two scalars and quantities at previous time steps, solve for until convergence:
|
3.2. Selection of Effective Interface Parameter Values for the Explicit Robin–Robin Scheme
3.3. An Alternative Way to Select the Interface Parameter in the Explicit Robin–Neumann Scheme
4. Numerical Results
4.1. Generalities
4.2. Test in the Cylinder—Test I
4.3. Test in a Human Aortic Abdominal Aneurysm—Test II
4.4. Final Remarks
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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− RR-expl | − RR-expl | − RN-expl | |
---|---|---|---|
Basic | 1045 | −169 | 1084 |
1702 | −115 | 1708 | |
866 | −276 | 904 | |
1526 | −138 | 1590 |
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Gigante, G.; Vergara, C. On the Choice of Interface Parameters in Robin–Robin Loosely Coupled Schemes for Fluid–Structure Interaction. Fluids 2021, 6, 213. https://doi.org/10.3390/fluids6060213
Gigante G, Vergara C. On the Choice of Interface Parameters in Robin–Robin Loosely Coupled Schemes for Fluid–Structure Interaction. Fluids. 2021; 6(6):213. https://doi.org/10.3390/fluids6060213
Chicago/Turabian StyleGigante, Giacomo, and Christian Vergara. 2021. "On the Choice of Interface Parameters in Robin–Robin Loosely Coupled Schemes for Fluid–Structure Interaction" Fluids 6, no. 6: 213. https://doi.org/10.3390/fluids6060213