So sánh phương pháp

	Phương pháp Thể tích Chất lỏng	Phương pháp tập hợp mức
Lĩnh vực	Động lực học chất lưu	Động lực học chất lưu
Họ	Process / pipeline	Process / pipeline
Năm ra đời	1981	1988
Người khởi xướng	Cleve Hirt	Stanley Osher
Loại	Eulerian interface tracking method	Implicit interface tracking method
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.	Osher, S., & Sethian, J. A. (1988). Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics, 79(1), 12-49.
Tên gọi khác	VOF, VoF, volume fraction method	Level-set, LSM, signed distance method
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 Level Set Method is an implicit interface tracking technique introduced by Osher and Sethian in 1988 for moving boundary problems and multiphase flows. Rather than explicitly tracking the interface, level sets represent it as the zero level set (contour) of a signed distance function φ. This approach elegantly handles topological changes, naturally computes interface curvature and normals, and integrates well with Eulerian solvers. Level sets have become essential for image processing, shape optimization, and interface-dominated fluid dynamics problems.