Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (10): 1221-1228.

• 论文 • 上一篇    下一篇

VELOCITY FIELD IN SHIP WAVES ON THE VISCOUS FLUID

刘敏嘉, 陶明德   

  1. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China
  • 收稿日期:2000-12-25 修回日期:2002-04-09 出版日期:2002-10-18 发布日期:2002-10-18

VELOCITY FIELD IN SHIP WAVES ON THE VISCOUS FLUID

LIU Min-jia, TAO Ming-de   

  1. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China
  • Received:2000-12-25 Revised:2002-04-09 Online:2002-10-18 Published:2002-10-18

摘要: From the Navier-Stokes 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.

Abstract: From the Navier-Stokes 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.

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