航槽三维流动的数学模型

本文提出了一种模拟挖槽内三维流动的数学模型.该模型将压力分解为动水压力与静水压力之和.由控制体积法导出三维偏微分方程的离散格式.采用Patankar和Spalding提出的压力校正法求解动水压力场.然后求解水位控制方程.用最新求出的水位替代压力校正法中的水位.如此循环迭代直至收敛.该模型无须采用“静水压力假定”和“刚盖假定”.能够模拟不可压缩流体含自由表面流动问题.利用该模型计算得到的挖槽内流速分布与水槽试验值吻合.此外,本文还计算了相当于天然情况各种水深、各种挖深比、各种挖槽底宽下挖槽内的流场.

A Mathematical Model of 3-D flow in a Dredged Channel

A Mathematical Model that can simulate 3-D flow in the dredged channel was estabil-ished in this paper. The pressure was devided into the moviable pressure and the hydrostatic pressure. The discrete scheme of 3-D partial differental equation was induced by the controlvolume method. The moviable pressure field was solved by wsing Patankar--Spalding'spressure correction method, then the water level control equation was solved, the newest water level was instead of the water level in the pressure correction method, based on this procedure, the approxmated solution was obtained. The hgdrostatic pressure approxmation and the rigid approxmation were not used in this model, but the unpressable fluid flow problem with free surface can be simulated. The calculated velocity distribution in dredged channel was close agreement with the experimented one. In addition, the fields of the every kind depth, ratio of dredged depth and bottom width in national condition were calculated in this paper.