Peer-reviewed veterinary case report
Accurate spline methods for fluid and structure simulation coupling
By Li JY et al.·2026·Delft Institute of Applied Mathematics, Netherlands·View original on Europe PMC →
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Original publication title: Isogeometric suitable coupling methods for partitioned multiphysics simulation with application to fluid-structure interaction.
Plain-English summary
This study focuses on improving how different computer simulation methods work together, especially when simulating interactions between fluids and structures. The researchers developed new techniques that use a specific type of mathematical representation called splines, which help maintain accuracy and efficiency when connecting traditional simulation methods with newer ones based on isogeometric analysis (IGA). They created two main strategies: one that helps traditional and IGA methods communicate effectively, and another that maximizes accuracy when IGA methods interact with each other. Their tests showed that these new methods significantly reduce the time and data needed for communication while improving the accuracy of the simulations. Overall, the new coupling strategies are effective and could help more people use IGA in their simulation work.
Abstract
This paper presents spline-based coupling methods for partitioned multiphysics simulations, specifically designed for isogeometric analysis (IGA) based solvers. Traditional vertex-based coupling approaches face significant challenges when applied to IGA solvers, including geometric accuracy issues, interpolation errors, and substantial communication overhead. The methodology draws on the IGA mathematical framework to deliver coupling solutions that preserve the high-order continuity and exact geometric representation of splines. We develop two complementary strategies: (1) a spline-vertex coupling method that enables efficient interaction between IGA and conventional solvers, and (2) a fully isogeometric coupling approach that maximizes accuracy for IGA-to-IGA communication. Both theoretical analysis and extensive numerical experiments demonstrate that our spline-based methods significantly reduce communication overhead compared to traditional approaches while simultaneously enhancing geometric accuracy through exact boundary representation and maintaining higher-order solution continuity across the coupled interfaces. We quantitatively confirm the communication efficiency benefits through systematic measurements of both transfer times and data volumes across various mesh refinement levels, with experimental results closely aligning with our theoretical predictions. Our benchmark studies further demonstrate the geometric fidelity advantages through exact boundary representation, while also highlighting how the inherent mathematical structure of splines naturally preserves solution derivatives across interfaces without requiring additional computation or specialized transfer algorithms. This work not only provides efficient coupling strategies tailored to IGA-based solvers but also establishes a practical bridge between IGA and traditional discretization methods in partitioned multiphysics simulations. By offering viable options for coupling conventional solvers with IGA-based components, our approach enables broader adoption of IGA in established simulation workflows while ensuring accurate and high-performance interface communications.
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Search related cases →Original publication on Europe PMC: https://europepmc.org/article/MED/41873430