In the present paper we propose a three-dimensional theoretical model describing the local evolution of any two- or three-dimensional disturbance superimposed on a basic shear flow. A numerical investigation, using a truncated form of the evolution model, was performed to select resonant three-dimensional disturbance in a transitional cylinder wake. A truncation criterion of non-linear triadic resonance, which is a generalisation of the standard linear-resonance condition, allowed us to locate some triadic sets of linear eigenmodes. Numerical integration of the corresponding low-dimensional dynamical systems showed interesting results that are in qualitative agreement with those performed by Williamson and Prasad [J. Fluid Mech. 256 (1993) 269.] This seems to validate the truncation criterion which, together with the theoretical model, proved to be an appropriate tool for describing the local evolution of large-scale structures in shear flows

Triadic resonant modes: dynamical model and truncation criterion / Boniforti, Maria Antonietta; Morganti, M.; Sciortino, G.. - In: FLUID DYNAMICS RESEARCH. - ISSN 0169-5983. - STAMPA. - 21:(1997), pp. 249-261. [10.1016/S0169-5983(97)00014-2]

Triadic resonant modes: dynamical model and truncation criterion

BONIFORTI, Maria Antonietta;
1997

Abstract

In the present paper we propose a three-dimensional theoretical model describing the local evolution of any two- or three-dimensional disturbance superimposed on a basic shear flow. A numerical investigation, using a truncated form of the evolution model, was performed to select resonant three-dimensional disturbance in a transitional cylinder wake. A truncation criterion of non-linear triadic resonance, which is a generalisation of the standard linear-resonance condition, allowed us to locate some triadic sets of linear eigenmodes. Numerical integration of the corresponding low-dimensional dynamical systems showed interesting results that are in qualitative agreement with those performed by Williamson and Prasad [J. Fluid Mech. 256 (1993) 269.] This seems to validate the truncation criterion which, together with the theoretical model, proved to be an appropriate tool for describing the local evolution of large-scale structures in shear flows
1997
Non-linear dynamical systems; Wave interactions; Large scale dynamics; Triadic resonance
01 Pubblicazione su rivista::01a Articolo in rivista
Triadic resonant modes: dynamical model and truncation criterion / Boniforti, Maria Antonietta; Morganti, M.; Sciortino, G.. - In: FLUID DYNAMICS RESEARCH. - ISSN 0169-5983. - STAMPA. - 21:(1997), pp. 249-261. [10.1016/S0169-5983(97)00014-2]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/70767
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