流体力学参数控制反问题的控制论求解方法

提出一种求解流体力学参数控制反问题的新思路--控制论方法。将流体力学参数控制反问题纳入控制论范畴,提为分布参数系统的最优控制问题,并提出应用计算机辅助优化法实现求解。以一个矩形坝非均质渗透系数反演问题为例,用所提方法进行了求解。研究结果表明,应用控制论方法求解参数控制反问题是合理可行的,是研究反问题的新思路。与其它参数控制反问题求解方法相比,用计算机辅助优化法求解参数控制反问题简单易行,且适应性强,为拓广流体力学参数控制反问题的工程应用提供了可能。

Numerical Solution to Parameter Control Inverse Problems in Fluid Mechanics Using Cybernetics Method

The cybernetics method for solving parameter-control inverse problems of engineering fluid m,chanics is presented in the paper.Considering that from the point of view of controlling a system,the inverse problem is identical with cybernetics, it is pointed out that bringing the inverse problem into cybernetics and looking for a combination of one another,a new way for solving inverse problem can be found.The inverse problems of engineering fluid mechanics governed by partial differential equations are taken into account, and recasted as optimal control problems of distributed parameter systems.The inversion of seepage coefficient of underground water in engineering fluid mechanics is taken as an example, and the computer aided optimization method is applied.The numerical results show that the method is suitable for solving parameter control inverse problems.