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由于电子计算机和计算技术的迅速发展,近年来流体力学数学模型在国内外得到越来越广泛的应用。当研究大范围的流体运动时,如以物理模型试验的方法进行研究,由于受到模型相似律的限制,模型尺寸需要很大,模型试验费用很高。而数学模型可以按原型尺度进行计算,因而没有比尺方面的问题。另外,数学模型中可以很方便地引入风力和柯氏力的影响,而在物理模型中则很难加以模拟。数学模型在水力学中应用很广,下面仅介绍与治河工程有关的几项应用。
Due to the rapid development of computer and computing technology, mathematical model of fluid mechanics has been more and more widely used at home and abroad in recent years. When studying a large range of fluid motion, such as the physical model test method, due to the model similarity law constraints, the model size needs a large model test costs are high. The mathematical model can be calculated according to the prototype scale, so there is no scale problem. In addition, the influence of wind force and Coriolis force can be easily introduced in the mathematical model, which is difficult to be simulated in the physical model. Mathematical models are widely used in hydraulics, and only a few applications related to river regulation are described below.