An arbitrary-order time-sub-cycling framework for conservative partitioned fluid–structure interaction
Abstract
We propose a partitioned numerical framework for the simulation of fluid-structure interaction problems in fast transient regimes, where strong compressibility effects and shock waves propagate across moving interfaces. The method is designed to combine arbitraryorder accurate time integration, sub-cycling capabilities, and strict discrete conservation properties within a unified formulation. The coupling strategy is formulated at the algebraic level through a saddle-point problem that enforces the conservation of mass, momentum, and total energy at the fluid-structure interface. Under standard definiteness assumptions inherited from the underlying fluid and solid discretizations, the coupled problem is well posed and admits a unique solution. Highorder time accuracy is achieved by enforcing the coupling conditions consistently at each Runge-Kutta stage, while sub-cycling allows the fluid and solid solvers to evolve according to their respective stability constraints without introducing temporal interpolation at the interface. The method is designed to combine a Runge-Kutta time-sub-cycling framework of arbitrary order, strict discrete conservation properties, and independent stability constraints for the fluid and solid subdomains. The present work uses a second-order finite-volume spatial discretization. The smooth one-dimensional Kidder test is used to verify that the proposed sub-cycling strategy preserves the expected temporal convergence order of the underlying Runge-Kutta method. The remaining shock-dominated one-, two-, and threedimensional test cases are used to assess conservation, robustness, and computational efficiency in fast transient fluid-structure interaction regimes. These results establish a systematic approach for the construction of conservative partitioned FSI methods with high-order time-sub-cycling capabilities suitable for fast dynamics and disparate time scales.
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BibTeX
@article{chantrait2026arbitraryorder,
title = {{An arbitrary-order time-sub-cycling framework for conservative partitioned fluid–structure interaction}},
author = {Teddy Chantrait and Nicolas Chevaugeon and Alexandre Gangloff and Emmanuel Labourasse},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2026},
month = sep,
doi = {10.1016/j.cma.2026.119195},
url = {https://hal.science/hal-05742384v1},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - JOUR
TI - An arbitrary-order time-sub-cycling framework for conservative partitioned fluid–structure interaction
AU - Teddy Chantrait
AU - Nicolas Chevaugeon
AU - Alexandre Gangloff
AU - Emmanuel Labourasse
PY - 2026
DA - 2026/09/08
JO - Computer Methods in Applied Mechanics and Engineering
DO - 10.1016/j.cma.2026.119195
UR - https://hal.science/hal-05742384v1
AB - We propose a partitioned numerical framework for the simulation of fluid-structure interaction problems in fast transient regimes, where strong compressibility effects and shock waves propagate across moving interfaces. The method is designed to combine arbitraryorder accurate time integration, sub-cycling capabilities, and strict discrete conservation properties within a unified formulation. The coupling strategy is formulated at the algebraic level through a saddle-point problem that enforces the conservation of mass, momentum, and total energy at the fluid-structure interface. Under standard definiteness assumptions inherited from the underlying fluid and solid discretizations, the coupled problem is well posed and admits a unique solution. Highorder time accuracy is achieved by enforcing the coupling conditions consistently at each Runge-Kutta stage, while sub-cycling allows the fluid and solid solvers to evolve according to their respective stability constraints without introducing temporal interpolation at the interface. The method is designed to combine a Runge-Kutta time-sub-cycling framework of arbitrary order, strict discrete conservation properties, and independent stability constraints for the fluid and solid subdomains. The present work uses a second-order finite-volume spatial discretization. The smooth one-dimensional Kidder test is used to verify that the proposed sub-cycling strategy preserves the expected temporal convergence order of the underlying Runge-Kutta method. The remaining shock-dominated one-, two-, and threedimensional test cases are used to assess conservation, robustness, and computational efficiency in fast transient fluid-structure interaction regimes. These results establish a systematic approach for the construction of conservative partitioned FSI methods with high-order time-sub-cycling capabilities suitable for fast dynamics and disparate time scales.
SN - 0045-7825
SN - 1879-2138
ER -