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Isogeometric suitable coupling methods for partitioned multiphysics simulation with application to fluid-structure

Jing-Ya Li1, Hugo M Verhelst2, Henk den Besten3

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Summary
This summary is machine-generated.

This study introduces spline-based coupling for multiphysics simulations, improving accuracy and efficiency in isogeometric analysis (IGA) solvers. These new methods reduce communication overhead and enhance geometric fidelity compared to traditional vertex-based approaches.

Keywords:
Fluid–-structure interactionInterface couplingIsogeometric analysisPartitioned multiphysicsSplines

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Area of Science:

  • Computational mathematics
  • Multiphysics simulation
  • Isogeometric Analysis (IGA)

Background:

  • Traditional vertex-based coupling in partitioned multiphysics simulations faces challenges with isogeometric analysis (IGA) solvers, including geometric inaccuracies and high communication overhead.
  • Existing methods struggle to leverage the high-order continuity and exact geometric representation inherent in spline-based IGA.

Purpose of the Study:

  • To develop and evaluate novel spline-based coupling methods for partitioned multiphysics simulations tailored for IGA solvers.
  • To address the limitations of traditional coupling approaches in the context of IGA, focusing on geometric accuracy and communication efficiency.

Main Methods:

  • Developed two spline-based coupling strategies: spline-vertex coupling for IGA-to-conventional solver interaction and fully isogeometric coupling for IGA-to-IGA communication.
  • Utilized the IGA mathematical framework to ensure preservation of high-order continuity and exact geometry.
  • Conducted theoretical analysis and extensive numerical experiments, including benchmark studies and communication overhead measurements.

Main Results:

  • Spline-based methods significantly reduce communication overhead (transfer times and data volumes) compared to traditional approaches.
  • Achieved enhanced geometric accuracy through exact boundary representation and maintained higher-order solution continuity across coupled interfaces.
  • Demonstrated that spline properties naturally preserve solution derivatives without extra computational cost.

Conclusions:

  • The proposed spline-based coupling methods offer efficient and accurate solutions for partitioned multiphysics simulations involving IGA solvers.
  • These methods provide a practical bridge between IGA and traditional discretization methods, facilitating broader IGA adoption.
  • The study establishes new standards for high-performance interface communication in complex simulation workflows.