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Three-dimensional D3Q27 multiple-relaxation-time lattice Boltzmann simulation of Herschel–Bulkley viscoelastic fluids in a cubic cavity with top lid driven diagonally

Author

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  • Molla, Md. Mamun
  • Islam, Md. Mahadul

Abstract

Graphics Processing Unit (GPU) accelerated multiple-relaxation-time (MRT) lattice Boltzmann method (LBM) is used for the simulation of Herschel–Bulkley non-Newtonian fluids in a three-dimensional (3D) cubic cavity with the top lid-driven diagonally. For the 3D simulation, a D3Q27 lattices model, which is more stable and well-accepted in the LBM community, is used in the present MRT-LBM. Simulations using numerical models are run for a variety of dimensionless variables, including the Reynolds numbers (Re=300,600,1000,1200), Bingham number (Bn=0.0,0.5,1.0,2.0), Power-law index, (n=0.8). In the present numerical simulation, the GPU has used a parallel computing technique based on the Compute Unified Device Architecture (CUDA) C++ programming. MRT-LBM code is validated for the Newtonian and non-Newtonian power law fluid with a lid-driven cubic cavity. The numerical results obtained regarding the streamlines, velocity, viscosity distributions, and the iso-surfaces of the non-Newtonian viscosity are presented. The current numerical findings could potentially function as benchmark results for validating 3D codes validation for the non-Newtonian fluids.

Suggested Citation

  • Molla, Md. Mamun & Islam, Md. Mahadul, 2025. "Three-dimensional D3Q27 multiple-relaxation-time lattice Boltzmann simulation of Herschel–Bulkley viscoelastic fluids in a cubic cavity with top lid driven diagonally," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 234(C), pages 419-437.
    • Handle: RePEc:eee:matcom:v:234:y:2025:i:c:p:419-437
    DOI: 10.1016/j.matcom.2025.03.015
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