摘要
本文对管道液压的动特性进行了数学模拟,它是求解两个自变量一阶拟线性双曲型偏微分方程组的初边值问题。本文采用了对这种问题很适用的一阶偏心四点差分格式与差分方程组的矩阵追赶法,并指出了这种格式的统一性及稳定性、追赶过程的稳定性和迭代过程的收敛性的条件。对此一问题进行了数值计算,其结果与实验数据颇为符合。
The dynamic Characteristic of hydraulic pressure in the duct is simulated mathematically in the paper, it reduces to the initial-boundary value problem for first order quasilinear hyperbolic systems of partial differential equations with two variables. The first difference scheme of eccentric four points and the matrix pursuing method for difference equations which are available for this problem are adopted, and the conditions for the unity and stability of this scheme, the stability of the pursuing process and the convergence of the iterated process are pointed out. The numerical evaluation is carried out for this problem, the result of which agrees satisfactorily with the experimental data.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1990年第4期53-61,共9页
Chinese Journal of Hydrodynamics
基金
航空科学基金
关键词
管道
液压
差分方法
数值计算
duct, hydraulic pressure, difference method, numerical evaluation.
