Abstract
This paper describes a method for identifying and visualising the three-dimensional geometry of focal (vortex) structures in complex flows. The method is based primarily on the classification of the local topology as it is identified from the values of the velocity gradient tensor invariants. The identification of the local topology is reference frame invariant. Therefore, focal (vortex) structures can be unambiguously identified in these flows. A novel flow visualisation method is introduced whereby focal structures are rendered using a solid model view of the local topology. This new approach is applied to the identification of focal structures in three-dimensional plane mixing layer and plane wake flows.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
CHEN, J., CHONG, M., SORIA, J., SONDERGARRD, R., PERRY, A.E, ROGERS, M., MOSER, R. & CANTWELL, B. 1990 A study of the topology of dissipating motions in direct numerical simulations of time-developing compressible and incom pressible mixing layers. CTR Report SS90, Stanford University, Stanford, CA.
CHEN, J.H. 1991 The topology of the compressible mixing layer. Bull. Am. Phys. Soc., 36(10), 2615.
CHONG, M., PERRY, A.E. & CANTWELL, B. 1990 A general classification of three-dimensional flow fields. Phys. Fluids A, 2(5), 765 -777.
LOPEZ, J.M. & BULBECK, C.J. 1992 Behaviour of streamwise rib vortices in a three-dimensional mixing layer. CTR Report SS92, Stanford University, Stanford,CA.
ROGERS, M. & MOSER, M. 1990 Mixing transition and the cascade to small scales in a plane mixing layer. Proc of the IUTAM Sym. on Stirring and Mixing. UCSD, LaJolla, CA.
ROGERS, M.M. & MOSER, R.D. 1992 Spanwise scale selection in plane mixing lay ers. submitted for publication to J. Fluid Mech..
SONDERGAARD, R., CHEN, J., SORIA, J. & CANTWELL , B. 1991 Local topology of small scale motions in turbulent shear flows. 8th Sym. on Turbulent Shear Flows, Munich, Germany.
SORIA, J., CHONG, M.S., SONDERGAARD, R., PERRY, A.E. & CANTWELL, B.J. 1992 A study of the fine scale motions of incompressible time-developing mixing layers. CTR Report SS92, Stanford University, Stanford, CA.
SPALART, P.R., MOSER, R.D. & MOSER, M.M. 1991 Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions. J. Comp. Phys., 96, 297 -324.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Soria, J., Cantwell, B.J. (1993). Identification and Classification of Topological Structures in Free Shear Flows. In: Bonnet, J.P., Glauser, M.N. (eds) Eddy Structure Identification in Free Turbulent Shear Flows. Fluid Mechanics and Its Applications, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2098-2_31
Download citation
DOI: https://doi.org/10.1007/978-94-011-2098-2_31
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4930-6
Online ISBN: 978-94-011-2098-2
eBook Packages: Springer Book Archive