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On the number of subproblem iterations per coupling step in partitioned fluid‐structure interaction simulations

Thomas Spenke, Nicolas Delaissé (UGent) , Joris Degroote (UGent) and Norbert Hosters
(2024) INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 125(7).
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Abstract
In literature, the cost of a partitioned fluid‐structure interaction scheme is typically assessed by the number of coupling iterations required per time step, while ignoring the internal iterations within the nonlinear subproblems. In this work, we demonstrate that these internal iterations have a significant influence on the computational cost of the coupled simulation. Particular attention is paid to how limiting the number of iterations within each solver call can shorten the overall run time, as it avoids polishing the subproblem solution using unconverged coupling data. Based on systematic parameter studies, we investigate the optimal number of subproblem iterations per coupling step. In addition, this work proposes a new convergence criterion for partitioned algorithms that is based solely on the number of subproblem iterations required to reach the subproblem residual tolerances and therefore does not require any additional convergence tolerance for the coupling loop.
Keywords
Applied Mathematics, General Engineering, Numerical Analysis, convergence criterion, coupled problems, fluid-structure interaction, partitioned algorithm, solver iterations, NAVIER-STOKES EQUATIONS, FLOW PROBLEMS, ALGORITHM, SOLVERS, STABILITY, DYNAMICS, AIRFOIL

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MLA
Spenke, Thomas, et al. “On the Number of Subproblem Iterations per Coupling Step in Partitioned Fluid‐structure Interaction Simulations.” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 125, no. 7, 2024, doi:10.1002/nme.7420.
APA
Spenke, T., Delaissé, N., Degroote, J., & Hosters, N. (2024). On the number of subproblem iterations per coupling step in partitioned fluid‐structure interaction simulations. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 125(7). https://doi.org/10.1002/nme.7420
Chicago author-date
Spenke, Thomas, Nicolas Delaissé, Joris Degroote, and Norbert Hosters. 2024. “On the Number of Subproblem Iterations per Coupling Step in Partitioned Fluid‐structure Interaction Simulations.” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 125 (7). https://doi.org/10.1002/nme.7420.
Chicago author-date (all authors)
Spenke, Thomas, Nicolas Delaissé, Joris Degroote, and Norbert Hosters. 2024. “On the Number of Subproblem Iterations per Coupling Step in Partitioned Fluid‐structure Interaction Simulations.” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 125 (7). doi:10.1002/nme.7420.
Vancouver
1.
Spenke T, Delaissé N, Degroote J, Hosters N. On the number of subproblem iterations per coupling step in partitioned fluid‐structure interaction simulations. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. 2024;125(7).
IEEE
[1]
T. Spenke, N. Delaissé, J. Degroote, and N. Hosters, “On the number of subproblem iterations per coupling step in partitioned fluid‐structure interaction simulations,” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 125, no. 7, 2024.
@article{01HM8MX1K4JB840CE1P5JT5KH1,
  abstract     = {{In literature, the cost of a partitioned fluid‐structure interaction scheme is typically assessed by the number of coupling iterations required per time step, while ignoring the internal iterations within the nonlinear subproblems. In this work, we demonstrate that these internal iterations have a significant influence on the computational cost of the coupled simulation. Particular attention is paid to how limiting the number of iterations within each solver call can shorten the overall run time, as it avoids polishing the subproblem solution using unconverged coupling data. Based on systematic parameter studies, we investigate the optimal number of subproblem iterations per coupling step. In addition, this work proposes a new convergence criterion for partitioned algorithms that is based solely on the number of subproblem iterations required to reach the subproblem residual tolerances and therefore does not require any additional convergence tolerance for the coupling loop.}},
  articleno    = {{e7420}},
  author       = {{Spenke, Thomas and Delaissé, Nicolas and Degroote, Joris and Hosters, Norbert}},
  issn         = {{0029-5981}},
  journal      = {{INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING}},
  keywords     = {{Applied Mathematics,General Engineering,Numerical Analysis,convergence criterion,coupled problems,fluid-structure interaction,partitioned algorithm,solver iterations,NAVIER-STOKES EQUATIONS,FLOW PROBLEMS,ALGORITHM,SOLVERS,STABILITY,DYNAMICS,AIRFOIL}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{28}},
  title        = {{On the number of subproblem iterations per coupling step in partitioned fluid‐structure interaction simulations}},
  url          = {{http://doi.org/10.1002/nme.7420}},
  volume       = {{125}},
  year         = {{2024}},
}
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