What is it about?
Resolvent analysis has been proven to be a powerful tool in studying and understanding transitional and turbulent flows as it discovers the underlying dominant modes of the system. So far, due to serious computational challenges, this analysis has been limited to one- or two-dimensional flows. In this study, we have introduced a new algorithm that enables resolvent analysis for high dimensional systems and in particular 3D flows.
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Why is it important?
Many flows are inherently three-dimensional, i.e. no homogenous direction is available to reduce the dimensionality and it was practically impossible to compute input-output (resolvent) modes for those. Our paper has introduced a new way that allows this type of analysis on all ranges of flows.
Perspectives
I believe this algorithm is going to open new doors in the resolvent analysis of large systems as the algorithm is very well scalable and can be further optimized in the future as ODE solvers are optimized since a key component of our algorithm is solving large linear ODEs.
Ali Farghadan
University of Michigan
Read the Original
This page is a summary of: A randomized time-domain algorithm for efficiently computing resolvent modes, July 2021, American Institute of Aeronautics and Astronautics (AIAA),
DOI: 10.2514/6.2021-2896.
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