000014518 001__ 14518
000014518 005__ 20161115100154.0
000014518 04107 $$aeng
000014518 046__ $$k2016-08-21
000014518 100__ $$aKelley, Douglas
000014518 24500 $$aLow-dimensional convection models from vector cylindrical harmonics

000014518 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014518 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014518 506__ $$arestricted
000014518 520__ $$2eng$$aLow-dimensional models of thermal convection can allow us to study the essential dynamics of the flow in simplified form, and to produce empirical estimates using only a few parameters. Low-dimensional representations of convection can be constructed systematically by writing numerical or experimental measurements as summations of a set of appropriate basis functions. For Boussinesq convection in a cylinder, those basis functions should be defined in cylindrical coordinates, vector-valued, divergence-free, and complete. Here we present such a basis set, the vector cylindrical harmonics. We demonstrate that they have the desired characteristics, show their use for representing measurements, and point out their potential for low-dimensional convection models.

000014518 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014518 653__ $$a

000014518 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014518 720__ $$aKelley, Douglas
000014518 8560_ $$ffischerc@itam.cas.cz
000014518 8564_ $$s87203$$uhttps://invenio.itam.cas.cz/record/14518/files/TS.FM05-4.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 739, code TS.FM05-4.01
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000014518 962__ $$r13812
000014518 980__ $$aPAPER