High-Order IRK for FSI Model Reduction
Research Paper#Fluid-Structure Interaction, Model Order Reduction, Numerical Methods🔬 Research|Analyzed: Jan 3, 2026 18:56•
Published: Dec 29, 2025 10:44
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•ArXivAnalysis
This paper presents a novel approach to model order reduction (MOR) for fluid-structure interaction (FSI) problems. It leverages high-order implicit Runge-Kutta (IRK) methods, which are known for their stability and accuracy, and combines them with component-based MOR techniques. The use of separate reduced spaces, supremizer modes, and bubble-port decomposition addresses key challenges in FSI modeling, such as inf-sup stability and interface conditions. The preservation of a semi-discrete energy balance is a significant advantage, ensuring the physical consistency of the reduced model. The paper's focus on long-time integration of strongly-coupled parametric FSI problems highlights its practical relevance.
Key Takeaways
- •Proposes a MOR framework for FSI problems using high-order IRK methods.
- •Employs component-based MOR with separate reduced spaces for fluid and solid.
- •Addresses inf-sup stability and interface conditions.
- •Preserves a semi-discrete energy balance.
- •Demonstrates stable and accurate long-time integration for strongly-coupled FSI problems.
Reference / Citation
View Original"The reduced-order model preserves a semi-discrete energy balance inherited from the full-order model, and avoids the need for additional interface enrichment."