Simulating 2D flows with viscous vortex dynamics

被引:0
|
作者
Bene, J
Bröcheler, S
Lustfeld, H
机构
[1] Eotvos Lorand Univ, Inst Theoret Phys, H-1117 Budapest, Hungary
[2] Forschungszentrum Julich, Inst Festkorperforsch, D-52425 Julich, Germany
关键词
hydrodynamics; Navier-Stokes equation; turbulence; Lamb vortex;
D O I
10.1023/A:1026483521802
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Approximate solutions of the two-dimensional Navier-Stokes equation can be constructed as a superposition of viscous Lamb vortices. Requiring minimum deviation from the Navier-Stokes equation, one gets a set of ordinary differential equations for the positions, strength and width of the vortices. We calculate the deviation of the solution from the Navier-Stokes equation in the square norm. The time dependence of this error is determined and discussed.
引用
收藏
页码:567 / 577
页数:11
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