Singular-value analyses of symmetric and asymmetric perturbations on a cylindrical vortex sheet

Abstract eng:
The singular-value analyses of symmetric and asymmetric perturbations on a cylindrical vortex sheet is, instead of the eigenvalue analyses, investigated in order to reveal the form and growth rate of possible symmetric and asymmetric perturbations which give the maximum development during a finite evaluation time. Here, two types of norms are adopted: i.e. the L2 norm (the square root of the sum of amplitude squared) and the energy norm. The new formulation based on the precedent studies by Micalke & Timme (1967) and Rotunno (1978) enables us to obtain the singular-values and the following forward and backward singular-vectors analytically. The optimally-excited perturbations thus obtained indicate secure non-normal growth and significant norm dependency.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket