Current Developments in Mathematical Sciences

Current Developments in Mathematical Sciences

Volume: 2

Liutex-based and Other Mathematical, Computational and Experimental Methods for Turbulence Structure

The knowledge of quantitative turbulence mechanics relies heavily upon the definition of the concept of a vortex in mathematical terms. This reference work introduces the reader to Liutex, which is ...
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*(Excluding Mailing and Handling)

POD and DMD Analysis in Late Flow Transition with Omega Method

Pp. 115-153 (39)

Sita Charkrit and Chaoqun Liu


In this paper, the proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) are applied to analyze the 3D late transitional flow on the flat plate obtained from direct numerical simulation (DNS). POD is used to find the most persistent spatial structures while DMD is used to find single frequency modes. The Omesga method is applied as a vortex identification to visualize vortices with isosurfaces Ω = 0.52. The results in POD and DMD are discussed and compared to show the same and different features such as shapes, amplitudes and time evolutions.


Dynamic mode decomposition, Identification method, Modal decomposition, Late flow transition, Omega method, Proper orthogonal decomposition.


Department of Mathematics, University of Texas at Arlington, Arlington, Texas 76019, USA.