三维移动脉动源的Michell型表达

ON THE 3-D PULSATING SOURCE OF MICHELL'S TYPE WITH FORWARD SPEED

本文应用Fourier变换和围道积分，给出了无限深水域中三维移动脉动源的Michell型表达，并讨论了解的性质和运场辐射形态。该表达形式简洁，物理章义明确，数值计算速度快，可望在三维有航速或有流速影响的振荡物体水动力性能和波浪力计算中得到广泛的应用。

An expression of the 3-D pulsating source of Michell type with forward speed for infinit e water depth is derived in the present paper based on the Fourier transformation and contour integration technique. Emphases are laid on the discussion of the feature of the source and the radiation behavior far from the source. The relative importance of the each components of the pulsating source is discussed in detail. Compared with the commonly used pulsating source of Haskind type, the present expression has the merits as simplicity for numerical treatment and being more meaningful in its physical explanation. The Michell type expression of the 3-D pulsating source with forward speed can be widely used for the estimation of motions and wave forces for ships and off shore structures in waves with forward speed. The radiative behavior of the source in the far field may also give a reasonable description of the radiation condition or the open boundary condition for other numerical methods, such as Rankine source method, etc.