So sánh phương pháp

	Mô hình Eulerian-Lagrangian	Phương pháp Thể tích Chất lỏng
Lĩnh vực	Động lực học chất lưu	Động lực học chất lưu
Họ	Process / pipeline	Process / pipeline
Năm ra đời	1977	1981
Người khởi xướng	Crowe Christopher	Cleve Hirt
Loại	Multiphase coupling framework	Eulerian interface tracking method
Công trình gốc	Crowe, C., Sommerfeld, M., & Tsuji, Y. (2011). Multiphase Flows with Droplets and Particles (2nd ed.). CRC Press. ISBN: 978-1439840474	Hirt, C. W., & Nichols, B. D. (1981). Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, 39(1), 201-225.
Tên gọi khác	ELM, two-fluid model, multiphase Eulerian-Lagrangian	VOF, VoF, volume fraction method
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 Volume of Fluid (VOF) method is an Eulerian interface-tracking technique for multiphase flow simulations, developed by Hirt and Nichols in 1981. Instead of explicitly tracking the interface between phases, VOF advects a scalar field (the volume fraction) that represents the fractional volume of one phase in each grid cell. This approach elegantly handles topological changes (splashing, merging, breaking) without explicit interface reconstruction, making it ideal for complex multiphase flows on fixed Eulerian grids.