So sánh phương pháp

	Mô hình Eulerian-Lagrangian	Mô phỏng số trực tiếp
Lĩnh vực	Động lực học chất lưu	Động lực học chất lưu
Họ	Process / pipeline	Process / pipeline
Năm ra đời	1977	1971
Người khởi xướng	Crowe Christopher	Steven Orszag
Loại	Multiphase coupling framework	Full-scale turbulence resolution method
Công trình gốc	Crowe, C., Sommerfeld, M., & Tsuji, Y. (2011). Multiphase Flows with Droplets and Particles (2nd ed.). CRC Press. ISBN: 978-1439840474	Orszag, S. A. (1971). Numerical simulation of incompressible flows within simple boundaries: accuracy. Journal of Fluid Mechanics, 49(1), 75-112.
Tên gọi khác	ELM, two-fluid model, multiphase Eulerian-Lagrangian	DNS, resolved turbulence simulation
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.	Direct Numerical Simulation (DNS) is a computational approach that solves the Navier-Stokes equations without turbulence models, resolving all scales of motion from the largest energy-containing eddies down to the smallest dissipative scales (Kolmogorov microscales). Pioneered by Steven Orszag in 1971, DNS provides complete information about turbulent flow fields and serves as a reference solution for validating turbulence models. However, extreme computational demands limit DNS to relatively simple geometries and low to moderate Reynolds numbers.