在位-流函数坐标系下求解非线性不定边界问题  

The Iteration Method of the Moving Boundary Fluid Problem Using Φ-ψCoordinate Systems

作　　者：蔡立[1] 

机构地区：[1]中国科学院力学研究所

出　　处：《水动力学研究与进展（A辑）》1995年第4期405-411,共7页Chinese Journal of Hydrodynamics

摘　　要：自由边界问题是一类重要的非线性流体运动问题。这类问题在工程中有着广泛的应用，如过水坝或过水闸门的出流，给定流量的射流，以及翼型设计问题。由于这类流动求解区域不确定，导致求解问题的非线性特证，使数值计算十分困难。本文以过坝水流问题为例，提出一种求解不定边界问题的新方法。The exterior fluids with free surfaces are frequently encountered as typical moving boundary problems, e. g.the free jet trajection, overflow gates and dams, the spillway, etc. In the classical hydraulics, it is almoSt impossible to determine the location and the geometric shape of free surface accurately. In this peper, a new iterative algorithm for the free surface location and total fluid field is presented by using Φ-ψ coordinate systems. The computted results agree well with experimental values.

关 键 词：Φ-ψ函数坐标系 不定边界 数值计算 

分 类 号：O351.3[理学—流体力学]