【作者】 卢东强；

【Author】 LU Dong-qiang (Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072)

【机构】 上海大学上海市应用数学和力学研究所；

【摘要】 为了考虑潜体远场的动力学特征,以具有水平和垂直分量的点力模拟潜体．考虑流体的黏性效应,选取 Oseen 方程为控制方程．考虑小振幅波动,将边界条件线性化．首先运用积分交换法得到潜体运动生成的自由面波动的积分形式解,再运用留数定理、Stokes 与 Scorer 驻相法得到 V 状内外区域远场波动的淅近解．结果表明：当黏性系数趋向零时, Oseenlet 极子的水平和垂直分量分别对应于势流中的点源和偶极子．更多还原

【Abstract】 In order to study the far-field dynamics of a submerged body,the body is modeled as a point force with horizontal and vertical components.Taking the viscosity of fluid into consideration, we choose the Oseen equations as the governing equations and linearize the boundary conditions with the assumption the wave amplitudes generated are small in comparison with the wavelength. The integral-form solution of free-surface waves is obtained by using an integral transform.The asymptotic representations for wave profiles at the inner and outer V-shaped regions are derived by the residue theorem and the Stokes and Scorer method of stationary phase.It is shown that the vertical Oseenlet corresponds to a simple mass source in an inviscid fluid while the vertical one to a dipole.更多还原