Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence

DOI10.1007/s00033-012-0251-7zbMath1350.76024OpenAlexW2025160431WikidataQ115389291 ScholiaQ115389291MaRDI QIDQ2375802

Vladimir N. Grebenev, Martin Oberlack, Alexander N. Grishkov

Publication date: 25 June 2013

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-012-0251-7

zbMATH Keywords

Witt algebrapseudo-Riemannian metricisotropic turbulencedifferential invariantsequivalence transformationfunctional of lengthtwo-point correlation tensor

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Applications of local differential geometry to the sciences (53B50) Isotropic turbulence; homogeneous turbulence (76F05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Methods of local Riemannian geometry (53B21)

Related Items (3)

Homogeneous Isotropic Turbulence: Geometric and Isometry Properties of the 2-point Velocity Correlation Tensor ⋮ Conformal invariance of the Lungren–Monin–Novikov equations for vorticity fields in 2D turbulence ⋮ The extended symmetry Lie algebra and the asymptotic expansion of the transversal correlation function for the isotropic turbulence

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