摘要
基于Fractal概念提出了一种通用的非线性方程的解析均化方法。得出均化方程,可使混沌过程按定解过程处理。应用该方法得出了Navier-Stokes方程湍流态的摄动方程,深刻地揭示了湍流的重要物理本性。以该方程为基础进行模化得出了新湍流模型,具有极强的通用性,可处理各种复杂湍流现象并把湍流研究中的统计与结构两大派别统一,建立全新的非线性湍流理论。
Based on the concept of fractal a general averaging method for nonlinear equations is proposed. Using the averaged equation, a chaotic process may be handled as a deterministic process. The turbulence perturbation equation of the Navier-Stokes equation has been obtained by using the method, which deeply reveals the physical essence of turbulence. The corresponding equations of turbulence modelling have strong generality for handling complex turbulent flows, which belongs to a new kind of nonlinear turbulence theories and possesses the power to connect the statistical movement and the structure movement of turbulence study.
出处
《工程热物理学报》
EI
CAS
CSCD
北大核心
1989年第2期215-221,共7页
Journal of Engineering Thermophysics
