Approximate analytical solutions for Kolmogorov's equations

DOI10.1016/J.CAM.2010.06.027zbMath1277.76033OpenAlexW2028646370MaRDI QIDQ708296

Bo Fang, Xing-Yuan Wang, Wen-Hu Huang, Tian-Zhi Yang

Publication date: 11 October 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.06.027

zbMATH Keywords

analytical solutionhomotopy analysis methodKolmogorov's equations

Mathematics Subject Classification ID

Direct numerical and large eddy simulation of turbulence (76F65) Numerical methods for ordinary differential equations (65L99)

Cites Work

• A new branch of solutions of boundary-layer flows over an impermeable stretched plate
• Explicit analytic solution for similarity boundary layer equations.
• An approximate solution technique not depending on small parameters: A special example
• Dual solutions of boundary layer flow over an upstream moving plate
• Homotopy analysis method for quadratic Riccati differential equation
• An explicit solution of the large deformation of a cantilever beam under point load at the free tip
• Use of the 4∕5 Kolmogorov equation for describing some characteristics of fully developed turbulence
• Applicability of Kolmogorov's and Monin's equations of turbulence

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