CONFORMAL DYNAMICS FOR VORTEX MOTIONS

被引:8
作者
LEGRAS, B
ZEITLIN, V
机构
[1] OBSERV NICE, F-06300 NICE, FRANCE
[2] MOSCOW ATMOSPHER PHYS INST, MOSCOW 109017, USSR
关键词
D O I
10.1016/0375-9601(92)90203-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new method to describe the dynamics of constant vorticity domains on the plane is proposed. The parameters of conformal mappings of the standard domain onto those latter are the new variables and a dynamical equation for their evolution is given. A perturbation theory around a basic elliptic shape of the vortex is formulated within this framework. As an illustration, the classical linear stability results for Love modes are reproduced.
引用
收藏
页码:265 / 271
页数:7
相关论文
共 15 条
[1]  
BRUBEA J, 1982, LECTURE NOTES PHYSIC, V80, P39
[2]  
DEEM G, 1978, PHYS REV LETT, V40, P854
[3]   CONTOUR DYNAMICS AND CONTOUR SURGERY - NUMERICAL ALGORITHMS FOR EXTENDED, HIGH-RESOLUTION MODELING OF VORTEX DYNAMICS IN TWO-DIMENSIONAL, INVISCID, INCOMPRESSIBLE FLOWS [J].
DRITSCHEL, DG .
COMPUTER PHYSICS REPORTS, 1989, 10 (03) :77-146
[4]   THE ELLIPTIC MODEL OF 2-DIMENSIONAL VORTEX DYNAMICS .2. DISTURBANCE EQUATIONS [J].
DRITSCHEL, DG ;
LEGRAS, B .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1991, 3 (05) :855-869
[5]  
Goluzin G. M., 1966, GEOMETRIC THEORY FUN
[6]  
HENRICI P, 1986, APPLIED COMPUTATIONA, V3
[7]  
LAMB H, 1932, HYDRODYNAMICS, P232
[8]  
Lavrentiev M. A., 1967, METHODEN KOMPLEXEN F
[9]   THE ELLIPTIC MODEL OF 2-DIMENSIONAL VORTEX DYNAMICS .1. THE BASIC STATE [J].
LEGRAS, B ;
DRITSCHEL, DG .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1991, 3 (05) :845-854
[10]  
LEGRAS B, 1991, MATH ITS APPLICATION, V40