In this paper, some preliminary experiments of ordered and chaotic vortex sheddingsbehind a 2--D circular cylinder at Reynolds numbers ranging from R_e=50 to 400 are presented.A transition in vortex shedding from the ...In this paper, some preliminary experiments of ordered and chaotic vortex sheddingsbehind a 2--D circular cylinder at Reynolds numbers ranging from R_e=50 to 400 are presented.A transition in vortex shedding from the laminar to chaotic state occurs at Re=184.6-193.5,but it is seemingly not through the quasi--periodicity routes. There is a couple of dis-continuities in slope on the curve of the relationship between the vortex shedding frequencyand Reynolds number. The discontinuity at Re = 70 might correspond to the change of themode of the oblique vortex shedding. The second one at Re = 193.5 is responsible for thetransition from the ordered to the chaotic state.展开更多
One kind of tensor denotation of nth Beltrami axisymmetric and nonaxisymmetric spherical vortices, their classification and symmetries were discussed. Chaotic Phenomena will occur in the dynamic system of the nonaxisy...One kind of tensor denotation of nth Beltrami axisymmetric and nonaxisymmetric spherical vortices, their classification and symmetries were discussed. Chaotic Phenomena will occur in the dynamic system of the nonaxisymmetric Beltrami spherical vortices. From these aspects, it is shown that the tensor denotation has more meaningful characters and nonaxisymmetric Beltrami shperical vortices are various and very complex.展开更多
The existence of isolated travelling wave solution for the KdV-Burgers equation is proved. It isshown that the strange attractor of the KdV-Burgers equation to isolated travelling wave is prevailing. Thechaotic phenom...The existence of isolated travelling wave solution for the KdV-Burgers equation is proved. It isshown that the strange attractor of the KdV-Burgers equation to isolated travelling wave is prevailing. Thechaotic phenomena in numerical computation might provide a reasonable interpretation of turbulence.展开更多
基金Project supported by the National Natural Science Foundation of China and Stiftung VW, Germany.
文摘In this paper, some preliminary experiments of ordered and chaotic vortex sheddingsbehind a 2--D circular cylinder at Reynolds numbers ranging from R_e=50 to 400 are presented.A transition in vortex shedding from the laminar to chaotic state occurs at Re=184.6-193.5,but it is seemingly not through the quasi--periodicity routes. There is a couple of dis-continuities in slope on the curve of the relationship between the vortex shedding frequencyand Reynolds number. The discontinuity at Re = 70 might correspond to the change of themode of the oblique vortex shedding. The second one at Re = 193.5 is responsible for thetransition from the ordered to the chaotic state.
文摘One kind of tensor denotation of nth Beltrami axisymmetric and nonaxisymmetric spherical vortices, their classification and symmetries were discussed. Chaotic Phenomena will occur in the dynamic system of the nonaxisymmetric Beltrami spherical vortices. From these aspects, it is shown that the tensor denotation has more meaningful characters and nonaxisymmetric Beltrami shperical vortices are various and very complex.
文摘The existence of isolated travelling wave solution for the KdV-Burgers equation is proved. It isshown that the strange attractor of the KdV-Burgers equation to isolated travelling wave is prevailing. Thechaotic phenomena in numerical computation might provide a reasonable interpretation of turbulence.