给定压力形式的三维物面设计研究

Research on Three-Dimensional Body Design with Given Pressure Distribution

水动力性能预报问题是通过势流理论或者粘性流理论对物体表面速度、压力等参数进行计算。论文研究的是水动力逆问题,即按照一定规律给出物面压力分布,然后根据母型物面求解对应的目标物面。采用格林定理和模型修正函数,建立速度势变化和物面修正量之间的相互约束模型,经过反复的计算迭代,给出满足压力分布要求的几何物面。考虑无限域中球和椭球的设计问题,其计算结果及其收敛过程表明该方法对于给定压力分布形式的三维设计问题具有较好的收敛性和较高的精度。

Research on hydrodynamics prediction always focuses on calculation of parameters such as velocity and pressure with potential or viscous theory. The paper aims at solving the inverse problem of hydrodynamics：designing a body surface corresponding to given pressure distribution. With the application of Green’s theory and a modification function, the relationship between potential variation and body modification is established and an iterative algorithm is used to update the body formation. Both sphere and ellipsoid in unbounded fluid field are taken as design samples and calculation results show that the method is of good convergence and high precision in designing three dimensional bodies.