0-5th Cumulant Approximation of Inviscid Burgers Turbulence

[摘要] The two points spectral equations system of the 0-5th order cumulant approximation of the inviscid Burgers turbulence is formulated and the energy spectrum and the energy transfer are obtained as initial value problems. These results are compared with those from the 0-4th order cumulant approximation. The negative energy appears at larger wave number in the 0-5th approximation than in the 0-4th one, On the other hand, the appearance of the negative energy become rather earlier in time in the former than in the latter. The drastic appearances of the negative energy at the energy containing range in the 0-4th approximation are fairly removed in the 0-5th approximation.In the larger spectral range than the energy containing range, however, the conclusive results about the improvement of the approximation by the 0-5th approximation cannot be strictly introduced.

[学科分类] 大气科学