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Hybrid lattice Boltzmann method on overlapping grids.

G Di Ilio1, D Chiappini2, S Ubertini3

  • 1University of Naples "Parthenope," Centro Direzionale Isola C4, 80133 Naples, Italy.

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Summary
This summary is machine-generated.

A new hybrid lattice Boltzmann method (HLBM) combines standard and unstructured models for complex fluid dynamics simulations. This approach enhances accuracy near walls and handles intricate geometries effectively.

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Area of Science:

  • Computational Fluid Dynamics
  • Numerical Methods

Background:

  • The standard Lattice Boltzmann method using the Bhatnagar-Gross-Krook (BGK) approximation has limitations in handling complex geometries and achieving high accuracy near walls.
  • Existing methods often struggle with problems involving intricate shapes and require significant computational resources.

Purpose of the Study:

  • To introduce a novel Hybrid Lattice Boltzmann Method (HLBM) that integrates standard and unstructured lattice Boltzmann models.
  • To leverage an overlapping grid system for enhanced geometric flexibility and adaptive refinement.
  • To improve the accuracy of fluid flow simulations, particularly near complex boundaries.

Main Methods:

  • Development of a hybrid approach combining a standard Lattice Boltzmann implementation (BGK) with an unstructured finite-volume lattice Boltzmann model.
  • Implementation on an overlapping grid system enabling uniform lattice spacing and coordinate-free structures.
  • Application to the benchmark problem of 2D flow past a circular cylinder across various Reynolds numbers.

Main Results:

  • The HLBM demonstrates superior performance compared to the standard LBGK method, especially for complex geometries.
  • The method achieves high-accuracy solutions near walls due to flexible refinement capabilities of the unstructured submodel.
  • Numerical performances were validated against established results for the flow past a cylinder.

Conclusions:

  • The HLBM is a promising tool for solving multiscale fluid dynamics problems with complex geometries.
  • The hybrid approach offers a balance between computational efficiency and accuracy, particularly in boundary-layer regions.
  • This method provides a flexible and accurate framework for advanced fluid flow simulations.