Shape optimization with F-function balancing for reducing the sonic boom initial shock pressure rise
Authors: Farhat Charbel; Argrow Brian; Nikbay Melike; Maute Kurt
Source: International Journal of Aeroacoustics, Volume 3, Number 4, October 2004 , pp. 361-378(18)
Publisher: Multi-Science Publishing Co Ltd
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Abstract:
A shape optimization methodology for reducing the initial shock pressure rise (ISPR) on theground of a supersonic aircraft is presented. This methodology combines elements from thelinearized aerodynamic theory such as Whitham's F-function with elements from the nonlinearaerodynamic theory such as the prediction of lift distribution by an Euler or a Navier-Stokes flowsolver. It also features a concept of F-function lobe balancing that locates suitable positive andnegative lobe pairs of the F-function, and modifies the shape of the aircraft to balance the areasof these lobes. The latter feature accelerates the convergence of the optimization procedure andforces it to generate an aircraft shape with a multi-shock ground signature, which reduces furtherthe ISPR. This shaping technology is illustrated with an application to the Point of Departureaircraft developed by Lockheed-Martin for Phase I of DARPA's Quiet Supersonic Platformprogram. At M
= 1.5, a twenty-fold reduction of the ISPR on the ground, from 1.616 psfto 0.083 psf, is demonstrated while maintaining constant length, lift (weight), and inviscid drag. At M = 2.0, a six-fold reduction of the ISPR on the ground, from 1.866 psf to 0.324 psf, is alsodemonstrated while maintaining constant length, lift (weight), and inviscid drag.
Document Type: Research article
DOI: 10.1260/1475472043499281
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