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Newton solution of steady two-dimensional transonic flow

Author(s)
Giles, M. (Michael)
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Massachusetts Institute of Technology. Gas Turbine Laboratory
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Abstract
A new method is developed for the solution of the steady, two-dimensional Euler equations for transonic flows. The discrete steady-state equations are derived in conservative finite-volume form on an intrinsic streamline grid, and are solved using Newton's method. Direct solution of the linear system of Newton equations is shown to be more efficient than iterative solution. Test cases include duct, cascade, and isolated airfoil flows, and demonstrate the speed and robustness of the method. The accuracy of the solutions is verified by comparison against values obtained analytically, experimentally and by other numerical methods.
Description
October 1985
 
Also issued as: Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1985
 
Includes bibliographical references (pages 167-169)
 
Date issued
1985
URI
http://hdl.handle.net/1721.1/104745
Publisher
Cambridge, Mass. : Gas Turbine Laboratory, Massachusetts Institute of Technology, [1985]
Series/Report no.
GTL report #186

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