Simulation of Single-Phase Fluids Using the Lattice Boltzmann Method
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The Lattice Boltzmann Method (LBM) is a powerful simulation technique for modeling single-phase fluid dynamics. Based on the Boltzmann equation governing particle motion in gases, LBM employs discrete velocity distributions and collision operators to simulate fluid behavior. The implementation typically involves defining a lattice structure (such as D2Q9 or D3Q19), where distribution functions evolve through streaming and collision steps. Key algorithmic components include the Bhatnagar-Gross-Krook (BGK) collision model and boundary condition handling. LBM excels at modeling complex fluid systems with intricate geometries and non-Newtonian behavior, making it particularly valuable for computational fluid dynamics (CFD), multiphase flow simulations, and porous media applications. Its inherent parallelizability and geometric flexibility have established LBM as a preferred method for industrial and academic fluid flow simulations.
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