The numerical simulation of fluid flows is central to a wide range of scientific and industrial applications. In this work, we explore in depth the lattice Boltzmann method (LBM) for fluid flow modeling. After an introduction to the different simulation methods, we dive into the fundamental theory of LBM and highlight its advantages over other numerical methods and the different types of flows that can be processed by LBM. We also examine the relaxation models used in this method and how they affect the accuracy of the simulations. Boundary conditions play a crucial role in LBM, and we discuss various conditions for flows and temperature. We then describe the key macroscopic quantities and the LBM algorithm. This work provides a comprehensive overview of LBM and its potential in fluid flow simulation.

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Numerical Simulation of Fluid Flows Using the Lattice Boltzmann Method

  • Youness Ighris,
  • Mohsine Qaffou,
  • Bilal El hadoui,
  • Jamal Baliti,
  • Youssef Elguennouni,
  • Mohamed Hssikou,
  • Zakarya Abbassi

摘要

The numerical simulation of fluid flows is central to a wide range of scientific and industrial applications. In this work, we explore in depth the lattice Boltzmann method (LBM) for fluid flow modeling. After an introduction to the different simulation methods, we dive into the fundamental theory of LBM and highlight its advantages over other numerical methods and the different types of flows that can be processed by LBM. We also examine the relaxation models used in this method and how they affect the accuracy of the simulations. Boundary conditions play a crucial role in LBM, and we discuss various conditions for flows and temperature. We then describe the key macroscopic quantities and the LBM algorithm. This work provides a comprehensive overview of LBM and its potential in fluid flow simulation.