摘要
本文采用随机微分方程理论,建立了明渠渐变流的随机模型,能够较好地预测水面线方程中各参数的不确定性对于解的影响.提出两种考虑参数不确定性的方法,分别采用Ljouville方程与Fokker—Planck方程求相应的随机微分方程解,均得到较好的结果.研究结果表明,随机微分方程模型在水力学的领域内将有广泛的应用前景。
The probabilistic models for one-dirnensional steady state nonuniform open channel flows are developed by using the theory of random differential equations. The proposed models can predict rationally the effects of uncertainties of hydraulic parameters on the solution process. Two approaches for representing the uncertainties of the parameters are used and the corresponding random differential equations are solved by numerically solving the Liouville and Fokker-Planck equations. The investigation shows that the random differential equations can be applied satisfactorily to the hydraulics research.
出处
《水利学报》
EI
CSCD
北大核心
1990年第8期1-9,共9页
Journal of Hydraulic Engineering
基金
国家青年科学基金
