A Momentum-weighted Interface Stabilization Approach for Fluid-Structure Interaction with Strong Added-Mass Effects
Abstract
Partitioned fluid-structure interaction (FSI) schemes permit the reuse of optimized standalone solvers but can become unstable under strong fluid added-mass effects, particularly when structural inertia is small relative to fluid inertia. This work traces the instability to the discrepancy between the interface pressure Schur complements of the monolithic and Dirichlet- Neumann partitioned systems, as revealed by a fixed-point analysis of the linearized FSI problem. Motivated by this analysis, a momentum-weighted interface stabilization (MWIS) is proposed, in which the interface pressure block of the fluid subproblem is augmented by an operator constructed from the fluid and structural interface momentum operators. The augmentation is consistent by construction, vanishing at convergence so that the monolithic solution is recovered. A sparse diagonal approximation of the operator, derived from element metrics, limits intersolver data exchange to quantities comparable in size to standard interface coupling data while requiring minimal modifications to the standalone solvers. Numerical experiments, spanning a linear model and established nonlinear FSI benchmarks, demonstrate improved coupling robustness in regimes of strong added-mass where the standard Dirichlet-Neumann scheme diverges.
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BibTeX
@misc{darbhamulla2026momentumweighted,
title = {{A Momentum-weighted Interface Stabilization Approach for Fluid-Structure Interaction with Strong Added-Mass Effects}},
author = {Nihar Bhardwaj Darbhamulla and Xiaoyu Mao and Aditya Narkhede and David Brown and Rajeev K. Jaiman},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.42034},
eprint = {2610.42034},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.42034},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - A Momentum-weighted Interface Stabilization Approach for Fluid-Structure Interaction with Strong Added-Mass Effects
AU - Nihar Bhardwaj Darbhamulla
AU - Xiaoyu Mao
AU - Aditya Narkhede
AU - David Brown
AU - Rajeev K. Jaiman
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.42034
UR - https://arxiv.org/abs/2610.42034
AB - Partitioned fluid-structure interaction (FSI) schemes permit the reuse of optimized standalone solvers but can become unstable under strong fluid added-mass effects, particularly when structural inertia is small relative to fluid inertia. This work traces the instability to the discrepancy between the interface pressure Schur complements of the monolithic and Dirichlet- Neumann partitioned systems, as revealed by a fixed-point analysis of the linearized FSI problem. Motivated by this analysis, a momentum-weighted interface stabilization (MWIS) is proposed, in which the interface pressure block of the fluid subproblem is augmented by an operator constructed from the fluid and structural interface momentum operators. The augmentation is consistent by construction, vanishing at convergence so that the monolithic solution is recovered. A sparse diagonal approximation of the operator, derived from element metrics, limits intersolver data exchange to quantities comparable in size to standard interface coupling data while requiring minimal modifications to the standalone solvers. Numerical experiments, spanning a linear model and established nonlinear FSI benchmarks, demonstrate improved coupling robustness in regimes of strong added-mass where the standard Dirichlet-Neumann scheme diverges.
ER -