City Research Online

Abstract

Linear stability has been an important method of industrial transition predic tion for many years. In this time there have been a number of improvements made, and in almost all cases an increase in physical accuracy is bought by sac rificing a level of simplicity. This document presents the multiple scales method to incorporate some of the physics which has traditionally been neglected. This too comes with a complexity penalty, but in this case the additional complexity is in the mathematics, and not the code. This means that the end user should not feel its presence at all.

The mathematical prerequisites (linear stability analysis, and adjoint linear stability analysis) for the multiple scales method are presented and explained. Validation cases are shown for each step, calculated using a novel simulation package.

Results with a multiple scales correction are generated across a variety of test cases, including oblique waves in a swept non-similar boundary layer. In some cases a significant impact on amplification is observed.

Publication Type:	Thesis (Doctoral)
Subjects:	T Technology
Departments:	School of Science & Technology > Engineering > Mechanical Engineering & Aeronautics School of Science & Technology > School of Science & Technology Doctoral Theses Doctoral Theses

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