Renormalization Group Treatment of Three-Dimensional Turbulence

• Nakano Tohru

  Department of Physics, Chuo University

書誌事項

タイトル別名

• Renormalization Group Treatment of Thre

抄録

The renormalization group treatment applied to three-dimensional turbulence is examined carefully. It is shown that the renormalization process is completely different depending on whether δΛ<<k or k<<δΛ when the wavenumber components between Λ and Λ−δΛ are eliminated in the Navier-Stokes equations for wavevector k. When δΛ<<k, which seems to be a natural condition, is assumed, the new triple interactions in addition to the ones by Zhou, Vahala and Hossain (Phys. Rev. A37 (1988) 2590) are found to be indispensable. The obtained viscosity is in good agreement with the one reached by Yakhot and Orszag (J. Sci. Comput. 1 (1986) 3), who did choose a parameter ε=0 instead of ε=4, a honest value. Then, the reasonable numbers are predicted for the Kolmogorov constant and the coefficient of the viscosity.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 61 (11), 3994-4008, 1992

  一般社団法人 日本物理学会

キーワード

• General Physics and Astronomy

詳細情報

• CRID: 1390001204177651584
• NII論文ID: 210000097073
• NII論文ID: 110001969604
• NII論文ID: 130003741194
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.61.3994
• BIBCODE: 1992JPSJ...61.3994N
• ISSN: 13474073
• ISSN: 00319015
• NDL書誌ID: 3792319
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I3792319
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.61.3994
• 本文言語コード: en
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