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Numerical experiments on one‐dimensional model of turbulence

 

作者: J. Qian,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1984)
卷期: Volume 27, issue 8  

页码: 1957-1965

 

ISSN:0031-9171

 

年代: 1984

 

DOI:10.1063/1.864850

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The initial‐value problem of a forced Burgers equation is numerically solved by the Fourier expansion method. It is found that its solutions finally reach a steady state of ‘‘laminar flow’’ which has no randomness and is stable to disturbances. Hence, strictly speaking, the so‐called Burgers turbulence is not a turbulence. A new one‐dimensional model is proposed to simulate the Navier–Stokes turbulence. A series of numerical experiments on this one‐dimensional turbulence is made and is successful in obtaining Kolmogorov’sk−5/3inertial‐range spectrum. The (one‐dimensional) Kolmogorov constant ranges from 0.5 to 0.65.

 

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