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Published June 2009 | public
Journal Article

Turbulence and sound-field POD analysis of a turbulent jet

Abstract

A Proper Orthogonal Decomposition (POD) is constructed for a Mach 0.9 turbulent jet using a well-validated direct numerical simulation database. Norms are defined based on near-field volume integrals of pressure, turbulence kinetic energy, streamwisc velocity, and total enthalpy, two-dimensional integrals of streamswise velocity (to match experimental measurements), and far-field integrals of pressure over a sphere. We find substantially different POD modes for the different norms, and their efficiency at representing the full data is strongly dependent upon the norm and specifically which data we attempt to represent. To reproduce near-field turbulence statistics requires relatively few modes computed by a kinetic energy or pressure norm. However. a large number of the POD modes computed using a near-field norm are required to represent the sound field. The dominant near-field POD modes computed with either the near-field pressure norm or the sound field norm have the structure of wave packets.

Additional Information

© 2009 Multi-Science Publishing. Received 16 July 2008. Revised 4 October 2008. Accepted 4 October 2008. JBF gratefully acknowledges the support of NASA. Both authors acknowledge fruitful interactions with Dr. Peter Blossey whose initial computations of pressure POD modes from this database inspired the present effort.

Additional details

Created:
August 20, 2023
Modified:
October 20, 2023