Symmetries and scaling‐laws in turbulence

DOI10.1002/ZAMM.19990791333zbMath0952.76512OpenAlexW2076510827MaRDI QIDQ4268663

Martin Oberlack

Publication date: 10 December 2000

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19990791333

zbMATH Keywords

Reynolds-averaged Navier-Stokes equationsCouette flowlogarithmic lawfluctuation equationsLie-group analysisalgebraic lawself0similar solutions

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) General theory of rotating fluids (76U05) Turbulent boundary layers (76F40) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Uses Software

• SYMMGRP.MAX

Cites Work

• The computer calculation of Lie point symmetries of large systems of differential equations
• Similarity in non-rotating and rotating turbulent pipe flows

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