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The two-relaxation-time (TRT) collision operator effectively reduces boundary slip in immersed boundary-lattice Boltzmann method (IB-LBM) simulations. TRT matches multirelaxation time (MRT) accuracy, proving effective for fluid flow analysis.

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Area of Science:

  • Computational fluid dynamics
  • Numerical methods for fluid dynamics

Background:

  • The immersed boundary-lattice Boltzmann method (IB-LBM) is a powerful tool for simulating fluid flows involving complex geometries.
  • Boundary slip is a known issue in IB-LBM that can affect simulation accuracy.
  • The two-relaxation-time (TRT) collision operator is a modification to the standard lattice Boltzmann method.

Purpose of the Study:

  • To verify the effectiveness of the TRT collision operator in reducing boundary slip within the IB-LBM framework.
  • To analyze the role of TRT relaxation parameters in controlling boundary velocity and slip.
  • To compare the performance of TRT-IB-LBM with the multirelaxation time (MRT) method.

Main Methods:

  • Decomposition of the distribution function into symmetric and antisymmetric components within the TRT collision operator.
  • Chapman-Enskog expansion to analyze the relationship between relaxation times and fluid properties.
  • Simulation of various flow cases including symmetric shear, Poiseuille, and cylindrical Couette flows.
  • Application of an implicit correction method with TRT for flow past a circular cylinder.

Main Results:

  • TRT collision operator effectively reduces boundary slip in IB-LBM simulations.
  • Numerical velocity profiles from TRT-IB-LBM exactly match MRT results for various flow configurations.
  • TRT demonstrates comparable effectiveness to MRT in eliminating boundary slip.
  • Analysis identified smoothing techniques using the delta function as a source of boundary velocity error.
  • TRT-IB-LBM successfully prevented flow penetration and unphysical velocity distortion in flow past a cylinder.
  • Calculated drag coefficient, wake length, and separation points for flow past a cylinder align well with existing literature.

Conclusions:

  • The TRT collision operator is a highly effective and accurate method for mitigating boundary slip in IB-LBM simulations.
  • TRT offers a computationally efficient alternative to MRT for achieving high-fidelity fluid flow simulations.
  • Understanding the impact of interpolation methods is crucial for minimizing errors in IB-LBM.