So sánh phương pháp

	Phương pháp Thể tích Chất lỏng	Mô hình Eulerian-Lagrangian
Lĩnh vực	Động lực học chất lưu	Động lực học chất lưu
Họ	Process / pipeline	Process / pipeline
Năm ra đời	1981	1977
Người khởi xướng	Cleve Hirt	Crowe Christopher
Loại	Eulerian interface tracking method	Multiphase coupling framework
Công trình gốc	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.	Crowe, C., Sommerfeld, M., & Tsuji, Y. (2011). Multiphase Flows with Droplets and Particles (2nd ed.). CRC Press. ISBN: 978-1439840474
Tên gọi khác	VOF, VoF, volume fraction method	ELM, two-fluid model, multiphase Eulerian-Lagrangian
Liên quan	5	5
Tóm tắt	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.	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.