考虑定常兴波影响的辐射问题去奇Rankine源方法数值计算

随着中高速船舶在海洋资源开发中的广泛应用,航速对船舶在波浪中摇荡运动的影响受到重视。本文基于势流理论,采用非均匀有理B样条(NURBS)表达物面,应用去奇Rankine源方法求解流场速度势；推导了兴波问题的二阶近似非线性自由面边界条件,以及考虑二阶近似非线性兴波影响的辐射速度势的线性自由面和物面边界条件。本文编程首先数值计算了Wigley船型的近似非线性兴波问题,将计算的线性和非线性兴波阻力系数与文献结果做了比较；然后数值计算了计及线性定常兴波影响的下潜圆球有航速辐射问题,将计算的附加质量和阻尼系数与文献结果比较。本文计算结果与文献结果吻合程度较好,验证了本文数值计算方法的有效性。文中还给出了兴波波形和辐射波形。

Numerical Calculation of Radiation Problem Capturing Steady Wave Making Effects by a Desingularized Rankine Panel Method

With a large amount of middle-high speed ships be widely used in marine resources exploiting, the effect of forward speed on ship oscillation has been paid attention. In this paper, non-uniform rational B-spines(NURBS) is used to describe the body surface, and a desingularized Rankine panel method has been applied to solving the velocity potentials; approximation nonlinear free surface boundary condition of steady wave making problem is derived, as well as the linear free surface boundary conditions and body boundary conditions of radiation problem capturing the second order approximate steady wave making effects. Then using the program code edited, firstly non-linear wave making problem of a Wigley hull is solved, and the calculated results of linear and nonlinear wave making resistance coefficient are compared with that of the references; secondly the radiation problem of a submerged moving sphere is solved with the linear steady wave making effects into consideration, also compared the calculated results of add mass and damping coefficient with that of other scholars. The numerical results of hydrodynamic coefficients show good agreement with that of the literatures, which verify the reliability of the numerical calculation method in this paper. And the free surface wave contours of wave making and radiation are showed.