Bounds on Energy and Helicity Dissipation Rates of Approximate Deconvolution Models of Turbulence
نویسنده
چکیده
We consider a family of high accuracy, approximate deconvolution models of turbulence. For body force driven turbulence, we prove directly from the models equations of motion the following bounds on the models time averaged energy dissipation rate, < "ADM >, and helicity dissipation rate, < ADM (w) >; < "ADM > 2 U3 L +Re 1 U3 L (1 + ( L )) , and j < ADM (w) > j U3 L2 + p 2Re 1 2 (1 + 2 L2 ) 1 2 U3 L2 +Re (1 + 2
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 39 شماره
صفحات -
تاریخ انتشار 2007