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GEOPHYSICAL RESEARCH LETTERS, VOL. 24, NO. 6, PAGES 703–706, 1997

Using Eigenfunctions of the Two-Point Correlation Function to Study Convection with Multiple Phase Transformations

Scott D. King

Department of Earth and Atmospheric Sciences, Purdue University, West Lafayette, Indiana


S. Balachandar

Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Illinois


Joel J. Ita

Geophysical Laboratory, Carnegie Institution of Washington, Washington DC


Abstract

We describe and illustrate a new approach for extracting and understanding the pattern of flow in complex, time-dependent convection. In this approach we calculate the eigenfunctions of the two-point correlation function and show that the two-point correlation can be efficiently characterized by the dominant few eigenmodes. We apply this methodology to extract structural information from convection models with two phase transformations.

Received 12 August 1996; accepted 27 January 1997.

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Citation: King, S. D., S. Balachandar, and J. J. Ita (1997), Using Eigenfunctions of the Two-Point Correlation Function to Study Convection with Multiple Phase Transformations, Geophys. Res. Lett., 24(6), 703–706.