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Improving the robustness of the immersed interface method through regularized velocity reconstruction.

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A new stabilization strategy enhances fluid-structure interaction (FSI) algorithms, allowing for more flexible mesh ratios between fluid and structure. This improves computational efficiency and broadens the applicability of FSI simulations for complex engineering problems.

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Area of Science:

  • Computational mechanics
  • Fluid-structure interaction (FSI) modeling

Background:

  • Developing robust and efficient fluid-structure interaction (FSI) algorithms is crucial for accurate computational mechanics.
  • Existing immersed interface methods (IIM) face limitations with restrictive mesh factor ratios, increasing computational costs for complex geometries.

Purpose of the Study:

  • To devise a stabilization strategy for the velocity interpolation operator in IIM to overcome mesh ratio limitations.
  • To enhance the applicability and efficiency of FSI simulations for complex geometries and dynamic conditions.

Main Methods:

  • Introduced a stabilization strategy for the velocity interpolation operator inspired by Tikhonov regularization.
  • Evaluated the effectiveness using benchmark problems with stationary interfaces and FSI models (rigid-body dynamics, elastodynamic structures).

Main Results:

  • The stabilized velocity interpolation operator enables a broader range of structure-to-fluid grid-size ratios.
  • Accuracy and flow dynamics remain unaffected by the relaxed mesh ratio constraint.
  • The method successfully models complex 3D geometries and diverse engineering applications.

Conclusions:

  • The stabilized IIM offers a robust and practical solution for FSI problems with complex geometries and dynamic conditions.
  • This advancement significantly broadens the applicability of IIM in computational mechanics.