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Time-linearised transonic computations including entropy, vorticity and shock wave motion effects

Published online by Cambridge University Press:  04 July 2016

E. Ly  and
J. Nakamichi
E. Ly
Affiliation:
Department of Mathematics and Statistics, RMIT University, Melbourne, Australia
J. Nakamichi
Affiliation:
Structures and Materials Research Center, National Aerospace Laboratory of Japan (NAL), Tokyo, Japan
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Abstract

The effect of small perturbations on steady nonlinear transonic small disturbance flowfields, in the context of two-dimensional flows governed by the general-frequency transonic small disturbance equation with nonreflecting far-field boundary conditions, is investigated. This paper presents a time-linearised time-domain solution method that includes effects due to the shock-generated entropy and vorticity and shock wave motions. The solution procedure correctly accounts for the small-amplitude shock wave motion due to small unsteady changes in the aerofoil boundary conditions, and correctly models a flowfield with embedded strong shock waves. Steady and first harmonic pressure distributions for the NACA 0003 aerofoil with a harmonically oscillating flap, and NACA 0012 aerofoil undergoing a sinusoidal pitching oscillation, are predicted and compared with the Euler results.

Type
Research Article
Information
The Aeronautical Journal , Volume 107 , Issue 1077 , November 2003 , pp. 687 - 695
Copyright
Copyright © Royal Aeronautical Society 2003 

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