Abstract

The decomposition of the turbulent velocity, pressure, and vorticity fields for the analysis of coherent structures is examined from a fundamental theoretical standpoint. It is shown that the commonly used double and triple decompositions yield coherent and incoherent parts of the turbulence that are not Galilean invariant and, consequently, severe doubts are raised concerning their general usefulness for the eduction of coherent structures. Alternative triple decompositions are proposed which are invariant under an arbitrary change of observer. Applications of this triple decomposition to the construction of helicity fluctuations which are more suitable for the study of coherent structures are also discussed.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.