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An Explicit-Correction-Force Scheme of IB-LBM Based on Interpolated Particle Distribution Function.

Bowen Liu1, Weiping Shi1

  • 1School of Mathematics, Jilin University, Changchun130012, China.

Entropy (Basel, Switzerland)
|March 29, 2023
PubMed
Summary

A new explicit-correction-force (ECP) scheme for immersed boundary-lattice Boltzmann method (IB-LBM) improves fluid-structure interaction (FSI) simulations. This method enhances accuracy and mass conservation for complex boundary problems.

Keywords:
deformable bodyfluid–structure interactionimmersed boundary methodlattice Boltzmann method

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Area of Science:

  • Computational fluid dynamics
  • Mesoscopic fluid simulation
  • Fluid-structure interaction (FSI) modeling

Background:

  • The immersed boundary-lattice Boltzmann method (IB-LBM) is a decade-old approach for fluid-structure interaction (FSI).
  • Existing IB-LBM methods require improvement for accuracy and efficiency in complex scenarios.

Purpose of the Study:

  • To develop a novel explicit correction force (ECP) scheme for IB-LBM.
  • To enhance numerical simulation accuracy and mass conservation in FSI problems.
  • To provide a simpler and effective alternative for complex boundary simulations.

Main Methods:

  • Introduced particle distribution function for mesoscopic interpolation from fluid grids to immersed boundaries.
  • Applied LBM force models directly for a simplified, explicit interface force calculation.
  • Utilized a correction matrix to ensure local mass conservation at the interface, forming the ECP scheme.

Main Results:

  • Validated the ECP scheme's accuracy and effectiveness through four numerical tests.
  • Demonstrated limited streamline penetration, indicating improved simulation fidelity.
  • Successfully simulated complex boundary conditions, including free oscillation of flapping foils and free deformation of cylinders.

Conclusions:

  • The proposed ECP scheme offers a simple and effective alternative for IB-LBM.
  • Achieved good simulation results for engineering models with complex boundaries.
  • The method shows significant potential for practical FSI applications.