基于求解速度势通量的指定压力分布二维翼型设计方法

为了提升翼型的水动力和空泡等性能，指定压力分布的翼型剖面设计的方法多数集中在给定攻角下的翼型剖面的设计，该方法存在计算量较大，收敛性不理想，特别是推广到三维问题时，上述问题尤为突出，限制了翼型设计的进一步发展。文章以势流理论面元方法为基础，通过求解指定压力分布条件下翼型表面的速度势通量，获得翼型表面形状的修正量，并将修正量分解为攻角的变化以及剖面自身的变化两部分，从而得到了翼型唯一的设计攻角和翼型剖面几何（厚度分布、拱度分布）。文中采用上述方法对二维翼型问题进行了设计验证，表明该方法可以设计任意指定压力分布的翼型剖面，理论上该方法可以用于全三维翼型的设计问题。

A design method for 2-D hydrofoil by the specified pressure distribution based on velocity potential flux of the surface

In order to improve the hydrodynamic and cavitation performance of the hydrofoil, some hydro-foil section design methods with specified pressure distribution are developed. However the section is de-signed at a given angle of attack in the most of such methods, which may result in large computation cost and difficulties in convergence especially when the methods are extended to 3-D problems. In the paper, a new 2-D hydrofoil section design method is proposed based on surface panel method of the potential theo-ry. The velocity potential flux and geometric corrections of the blade surface can be obtained by solving total velocity potential equation with specified pressure distribution on the blade surface. The geometric correction could be decomposed into two parts. One is owing to the change of angle of attack, and the other is the change of profile itself. In this way, the unique design angle of attack and section geometry for specified pressure distribution can be attained. The numerical results show that the method is robust and valid.