000014559 001__ 14559
000014559 005__ 20161115100155.0
000014559 04107 $$aeng
000014559 046__ $$k2016-08-21
000014559 100__ $$aSipp, Denis
000014559 24500 $$aMathematical foundations for mean flow stability analysis

000014559 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014559 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014559 506__ $$arestricted
000014559 520__ $$2eng$$aThis presentation provides theoretical foundations for the use and meaning of a stability analysis around a mean flow. Considering a Reynolds decomposition of the flow field, the Fourier transform of the fluctuation field is found to be equal to the product of the resolvent operator by a turbulent forcing term. If the dominant singular value of the resolvent is much larger than all others, then the Fourier transform of the fluctuation field is directly related to the dominant optimal response mode of the resolvent. In the case of weakly non-parallel flows, the spatial structure of this mode may be approximated by a local spatial stability analysis based on parabolized stability equations (PSE). Results are illustrated for the case of a turbulent backward facing step.

000014559 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014559 653__ $$a

000014559 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014559 720__ $$aSipp, Denis
000014559 8560_ $$ffischerc@itam.cas.cz
000014559 8564_ $$s67420$$uhttps://invenio.itam.cas.cz/record/14559/files/TS.FM07-1.02.pdf$$yOriginal version of the author's contribution as presented on CD,  page 913, code TS.FM07-1.02
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000014559 962__ $$r13812
000014559 980__ $$aPAPER