航行船体周围稳态流场计算的双重面积分方法

将Galerkin方法与虚拟面元源汇分布方法相结合，发展了用于求解航行船体三维非均匀稳态流场速度势及其高阶偏微分的双重面积分方法。为验证该方法的有效性，进行了半浸圆球稳态流场的数值计算。通过与圆球绕流问题解析解的比较，表明积分表面单元划分和虚拟单元的设置方式等对最终数值结果的影响可忽略不计。本文方法有助于对航行船体的水弹性力学特性进行更合理和更完善的分析。

A DOUBLE SURFACE INTEGRATION METHOD FOR SOLVING STEADY FLOW AROUND MOVING SHIPS

A new desingularized source distribution method is introduced to calculate the three-dimensional non-uniform steady flow potential and its high order partial derivatives- Thismethod is characterized by a double integration both on the field surface panels and on theimaginary source panels, together with the application of the Galerkin technique. The re-sults are illustrated with reference to a half submerged floating sphere. By comparisonwith the analytical results of a moving sphere, it is shown that the numerical results ob-tained by the present method is very little influenced by the gridding form on the integralsurface and the position-setting of the imaginary source panels. With the present ap-proach, a more rigorous numerical analysis of the three-dimensional hydroelastic behaviourmay be carried out for a travelling structure with no strict restrictions on its slenderness'