Estimation Des Debits Detiage En Rivieres Au Nouveau Brunswick

Author : Raymond C. Maple
Publisher :
ISBN 13 : 9781423508137
Total Pages : 167 pages
Book Rating : 4.5/5 (81 download)

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Download or read book Adaptive Harmonic Balance Method for Unsteady, Nonlinear, One- Dimensional Periodic Flows written by Raymond C. Maple and published by . This book was released on 2002-09-01 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new adaptive split-domain harmonic balance computational fluid dynamics (CFD) method is developed to solve highly nonlinear time-periodic flows such as those found in turbomachinery. The basic harmonic balance CFD method transforms an unsteady time-periodic problem into a steady-state problem by assuming a solution in the form of a Fourier series in time. The new method employs a unique multi-domain split-operator solution technique to remove a large-series stability restriction present in previous harmonic balance CFD approaches. In addition, the new method adapts the frequency content to the flow, starting with a small number of Fourier frequencies and augmenting the frequency content in each cell as necessary to capture local flow physics. The method reduces compute times by allowing larger integration time steps, eliminating Fourier transforms, and reducing overall problem size. The stability and accuracy of the method are verified with solutions to the 1-D inviscid Burger's equation and 1-D Euler's equation. Accurate adapted quasi-1-D Euler solutions for a supersonic/subsonic diverging nozzle with periodic unsteady outflow conditions are generated in 86% less time than an equivalent non-adapted split-domain solution, demonstrating the performance benefit of matching frequency content to the local flow conditions.