Publication: A Parametric Modal Decomposition for Fluid Mechanics Problems
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2018-10
Defense date
2018-10-09
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Abstract
Modal decomposition is widely used to simplify complex
fluid mechanics problems
by splitting the data set of the problem into different modes, which collect the main
effects of the parameters involved in the problem. This data set is collected in a
matrix form. Nevertheless, in case of the presence of more than two parameters
affecting the system, a tensor multilinear modal decomposition should be applied.
In this thesis, a brief development of matrix and tensor decomposition is addressed.
In addition, multilinear modal decomposition is applied to perform a parametric
study of an experimental
flapping wing problem, where a large number of parameters
can influence the system.
Finally, it is obtained that the multilinear modal decomposition is a powerful method
to simplify and extract the most significant features of a system. Since this method
is only an experimental and mathematical method, it allows to extract the most
relevant behaviors of each parameter without the necessity of entering into too much
detail in the field of
fluid mechanics.
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Keywords
Fluid mechanics, Modal decomposition, N-way principal component analysis, Multilinear singular value decomposition, Flapping wings