回转体局部空泡流的数值分析

A Numerical Nonlinear Analysis of the Flow around Partially Cavitating Axisymmetric Body

通过在回转体和空泡表面分布源汇的方法 ,建立了求解回转体局部空泡流场的数值方法。依据建立的数学模型与数值方法 ,对两种具有典型头部线型的回转体局部空泡绕流场进行了数值计算。在数值计算过程中发现第一次迭代所得结果和最终的收敛结果相比误差仅为 5 % ,并把计算结果与有关文献的实测数据进行了比较 。

We apply the potential based panel method to building the mathematical model of the flow around partially cavitating axisymmetric body. The sources used in the method are distributed on the axisymmetric body and on cavity surfaces. Subsection 3.3 explains our iteration method in some detail. Subsubsection 3.3.2 gives the seven steps of our iteration procedure. We take two head shapes for the axisymmetric body: spherical head in subsection 4.1 and conic head in subsection 4.2. Figs. 2 and 3 show the numerical results for spherical head and Figs.4 and 5 show numerical results for the conic head. The angle of attack for both head shapes is zero. For the conic head, published numerical data are available, and our numerical results in Fig. 4 are in good agreement with them. It is worth mentioning that the convergence of our numerical calculations is very fast and the results of the first iteration are very close to their final values.