在粘性流体中船行波的速度场  

Velocity Field in Ship Waves on the Viscous Fluid

作　　者：刘敏嘉[1] 陶明德[1] 

机构地区：[1]复旦大学力学与工程科学系,上海200433

出　　处：《应用数学和力学》2002年第10期1085-1092,共8页Applied Mathematics and Mechanics

摘　　要：从Navier_Stokes方程出发 ,导得了水上运动物体船行波的波高和水平速度二重积分的表达式·　其次采用Lighthill两步法将上述的积分表达式化为代数表达式·　与海水作为理想流体所得的结果相比 ,消除或减弱了原有的奇性 。From the Navier_Stokers equations,the integral expressions of the free_surface elevation and the velocity field in ship waves of a moving waterborne body are obtained.Next,Lighthill's two_stage scheme is employed to change the above_mentioned integral expressions to algebraic expressions. Compared with the results obtained when the seawater is idealized to an inviscid fluid,the singularities are dispelled or weakened,and the accuracy of the digit information of ship waves is improved.

关 键 词：粘性流体 船行波 速度场 水上运动物体 

分 类 号：O353.2[理学—流体力学]