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Synthesizing Turbulent Channel Flow: A Proposed Form of Solution to Steady Turbulence in Channels

AMS Seminar Series

Speaker:John William Poduska, Weston, MA

Presentation

Seminar Slide Deck (PDF-1.3MB)

Abstract

There has long been a need for a fully theoretical basis for describing turbulent flows. We propose a formal representation of the random velocities using a few ordinary smooth non-random functions together with an ordinary Stochastic Integral. We call this the Gaussian Transform or GXF. For example, for 3D Channel Flow, we need only two CDF’s (Cumulative Distribution Functions) and four ordinary correlation functions. The simpler case of 2D Channel Flow requires only one CDF and one correlation function. Decaying Isotropic Turbulence (HIT) requires only one CDF and two correlations functions. We will develop these functions for 2D Channel Flow; we will describe how to compute them numerically from DNS results; we will demonstrate the synthesis of multiple realizations of the flow; and we will apply the NSE to this representation to come to a full solution to 2D Channel Flow.

Biography

Photo of John William Poduska
John William Poduska was a founder, VP of Engineering, and Director of Prime Computer; the founder, CEO, and Chairman of Apollo Computer; the founder, CEO, and Chairman of Stellar Computer; the Chairman and CEO of Stardent Computer (formed by the merger of Stellar and Ardent); and the Chairman of the Board of Advanced Visual Systems Inc. (AVS). He is now retired. He holds a Sc.D. from MIT and an Honorary Doctorate of Humane Letters from Lowell University. His awards include the IEEE McDowell Award and the MIT Corporate Leadership and Distinguished Industrial Achievement Awards. He is a member of the National Academy of Engineering, the ACM, and a Fellow of the IEEE. He has also served on several non-profit boards and many corporate boards. His hobbies include flying airplanes and helicopters, as well as running. Bill’s avocations are computer programming and basic research into turbulent fluid flow.