论文信息 - The laminar interactions of a pair of vortex tubes with a free surface

The laminar interactions of a pair of vortex tubes with a free surface

A fully nonlinear numerical method is developed to study the viscous interactions of a pair of vortex tubes rising toward a free surface. The numerical theory uses Helmholtz's decomposition to treat the irrotational and vortical components of the flow as separate nonlinearly coupled equations. The laminar interactions of a pair of vortex tubes with a clean free surface at intermediate Froude and Weber numbers and a low Reynolds number show two distinct phases. During the rise phase of the vortex pairs, instabilities lead to the formation of helical vorticity

Douglas G. Dommermuth | D. Dommermuth

[1] John R. Spreiter,et al. The Rolling Up of the Trailing Vortex Sheet and Its Effect on the Downwash Behind Wings , 1951 .

[2] G. Tryggvason,et al. MEASUREMENT AND COMPUTATIONS OF VORTEX PAIR INTERACTION WITH A CLEAN OR CONTAMINATED FREE SURFACE , 1991 .

[3] T. Sarpkaya,et al. Surface disturbances due to trailing vortices , 1984 .

[4] Parviz Moin,et al. Direct simulations of turbulent flow using finite-difference schemes , 1991 .

[5] Vladimir E. Zakharov,et al. Stability of periodic waves of finite amplitude on the surface of a deep fluid , 1968 .

[6] Hans J. Lugt,et al. Interaction of a viscous vortex pair with a free surface , 1991 .

[7] S. Crow. Stability theory for a pair of trailing vortices , 1970 .

[8] H. Lugt,et al. The oblique ascent of a viscous vortex pair toward a free surface , 1992, Journal of Fluid Mechanics.

[9] T. Sarpkaya,et al. Interaction of a vortex couple with a free surface , 1991 .

[10] D. Dommermuth. The formation of U‐shaped vortices on vortex tubes impinging on a wall with applications to free surfaces , 1992 .

[11] Philip Geoffrey Saffman. A model of vortex reconnection , 1990 .

[12] F. Baer,et al. On Complete Filtering of Gravity Modes Through Nonlinear Initialization , 1977 .