Visualising fluid mechanics phenomena via quasi-bases

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• Catherine Drysdale, University of Birmingham
• Friday 24 November 2023, 16:00-17:00
• MR2.

If you have a question about this talk, please contact Professor Grae Worster.

We consider the Real non-self-adjoint Ginzburg Landau (RnsaGL) equation where the linear operator gives rise to a quasi-basis structure. This quasi-basis structure allows us to look at the transfer of energy between eigenmodes in a system that is both non-normal and nonlinear. The importance of non-normality versus nonlinearity has been a topic of debate concerning where difficulty modelling Fluid Mechanics systems lies. Although only a toy model, the quasi-basis structure allows us to illustrate the ramifications of non-normality and nonlinearity contemporaneously in contrast to tools such as the plotting of pseudospectra that only illuminates the linear phenomena. There are also consequences of quasi-basis structure for computing pseudospectra and higher order terms via weakly nonlinear expansions.

This talk is part of the Fluid Mechanics (DAMTP) series.

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