학술논문

Local Similarity Theory as the Invariant Solution of the Governing Equations.
Document Type
Article
Source
Boundary-Layer Meteorology. May2024, Vol. 190 Issue 5, p1-28. 28p.
Subject
*BOUNDARY layer (Aerodynamics)
*EQUATIONS
*BUOYANCY
*LIE groups
*STRATIFIED flow
Language
ISSN
0006-8314
Abstract
The present paper shows that local similarity theories, proposed for the strongly-stratified boundary layers, can be derived as invariant solutions defined under the Lie-group theory. A system truncated to the mean momentum and buoyancy equations is considered for this purpose. The study further suggests how similarity functions for the mean profiles are determined from the vertical fluxes, with a potential dependence on a measure of the anisotropy of the system. A time scale that is likely to characterize the transiency of a system is also identified as a non-dimensionalization factor. [ABSTRACT FROM AUTHOR]