So sánh phương pháp

	Mô hình Eulerian-Lagrangian	Phương pháp Lưới Boltzmann
Lĩnh vực	Động lực học chất lưu	Động lực học chất lưu
Họ	Process / pipeline	Process / pipeline
Năm ra đời	1977	1988
Người khởi xướng	Crowe Christopher	Gianluigi Zanetti
Loại	Multiphase coupling framework	Kinetic theory-based simulation method
Công trình gốc	Crowe, C., Sommerfeld, M., & Tsuji, Y. (2011). Multiphase Flows with Droplets and Particles (2nd ed.). CRC Press. ISBN: 978-1439840474	McNamara, G. R., & Zanetti, G. (1988). Use of the Boltzmann equation to simulate lattice-gas automata. Physical Review Letters, 61(20), 2332-2335.
Tên gọi khác	ELM, two-fluid model, multiphase Eulerian-Lagrangian	LBM, lattice gas automata
Liên quan	5	5
Tóm tắt	The Eulerian-Lagrangian Model (ELM) is a framework for simulating multiphase flows by treating the continuous phase (liquid or gas) using Eulerian descriptions (fixed grid) and discrete dispersed phases (particles, droplets, bubbles) using Lagrangian tracking. Developed by Crowe and collaborators in 1977, this approach exploits the strengths of both perspectives: Eulerian methods for the bulk continuous phase and Lagrangian methods for individual dispersed elements. ELM is widely used in industrial applications including spray combustion, pneumatic conveying, and particle-laden flows.	The Lattice Boltzmann Method (LBM) is a kinetic theory-based computational approach to fluid dynamics that discretizes the Boltzmann equation on a lattice grid. Developed by McNamara and Zanetti in 1988, LBM computes fluid behavior by tracking the distribution of particle velocities at discrete lattice nodes rather than solving the Navier-Stokes equations directly. This method naturally incorporates complex physics (turbulence, multiphase flows, porous media) and is highly parallelizable, making it increasingly popular for modern computational platforms.