FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1969520861> ?p ?o ?g. }

• W1969520861 endingPage "280" @default.
• W1969520861 startingPage "244" @default.
• W1969520861 abstract "We consider a pair of like-signed, initially elliptical vortices with uniform vorticity distribution embedded in an incompressible, inviscid fluid occupying a two-dimensional, infinite domain. We characterize this finite-time, aperiodic, dynamical system in terms of its fixed points and separatrices, which divide the flow into inner core, inner recirculation, outer recirculation regions and outer flow. We numerically simulate the time evolution of the vortex pair using a contour dynamics algorithm. The rotational and co-rotational motion of the vortices perturb the separatrices, which undergo to deformations, yielding a tangle whose complexity increases as the amplitude of the perturbation increases. We analyse the dynamics of the tangle and explain the transport of fluid between different regions. We use two diagnostics to quantify stirring: stretching of the interface and the mix-norm. These two diagnostics characterize stirring in contradicting ways and present different sensitivity to the parameters considered. We find that stretching is dominated by the chaotic advection induced within the inner core and inner recirculation regions, whereas the mix-norm is dominated by the laminar transport induced within the outer recirculation regions. For pairs of vortices of small aspect ratio, stretching is piecewise linear and the mix-norm does not decrease monotonically. We show that these two effects are strongly coupled and synchronized with the rotational motion of the vortices. Since the nominal domain is unbounded, we quantify stirring on three concentric, circular domains. One domain nearly encloses the outer separatrices of the vortex pair, one is smaller and one larger than the first one. We show that the mix-norm is very sensitive to the size of the domain, while stretching is not. To quantify the sensitivity of stirring to the geometry of the initial concentration field, we consider, as an initial scalar field, two concentrations delimited by a straight-line interface of adjustable orientation. We show that the interface passing through the centroids of the vortices is the one most efficiently stretched, while the initial concentration field with an orthogonal interface is the most efficiently stirred. Finally, we investigate the effects of the angular impulse on the stirring performance of the vortex pair. Stretching is very sensitive to the angular impulse, while the mix-norm is not. We show that there is a value of the angular impulse which maximizes stretching and argue that this is due to two competing mechanisms." @default.
• W1969520861 created "2016-06-24" @default.
• W1969520861 creator A5044257878 @default.
• W1969520861 creator A5067154891 @default.
• W1969520861 date "2011-03-30" @default.
• W1969520861 modified "2023-09-27" @default.
• W1969520861 title "Stirring, stretching and transport generated by a pair of like-signed vortices" @default.
• W1969520861 cites W1964966960 @default.
• W1969520861 cites W1974015201 @default.
• W1969520861 cites W1977438596 @default.
• W1969520861 cites W1978326724 @default.
• W1969520861 cites W1985760762 @default.
• W1969520861 cites W1989337446 @default.
• W1969520861 cites W1991624795 @default.
• W1969520861 cites W1994330305 @default.
• W1969520861 cites W1994654444 @default.
• W1969520861 cites W1995161579 @default.
• W1969520861 cites W2001571555 @default.
• W1969520861 cites W2008811274 @default.
• W1969520861 cites W2012390163 @default.
• W1969520861 cites W2013149988 @default.
• W1969520861 cites W2016716903 @default.
• W1969520861 cites W2020412799 @default.
• W1969520861 cites W2022718234 @default.
• W1969520861 cites W2023471108 @default.
• W1969520861 cites W2026331330 @default.
• W1969520861 cites W2032509958 @default.
• W1969520861 cites W2036808275 @default.
• W1969520861 cites W2037430723 @default.
• W1969520861 cites W2041891951 @default.
• W1969520861 cites W2044207539 @default.
• W1969520861 cites W2044866690 @default.
• W1969520861 cites W2044984833 @default.
• W1969520861 cites W2049076454 @default.
• W1969520861 cites W2049743027 @default.
• W1969520861 cites W2051206550 @default.
• W1969520861 cites W2052976800 @default.
• W1969520861 cites W2059763823 @default.
• W1969520861 cites W2060068978 @default.
• W1969520861 cites W2061795302 @default.
• W1969520861 cites W2067199134 @default.
• W1969520861 cites W2070288975 @default.
• W1969520861 cites W2074072034 @default.
• W1969520861 cites W2076327952 @default.
• W1969520861 cites W2087183386 @default.
• W1969520861 cites W2087326717 @default.
• W1969520861 cites W2089086364 @default.
• W1969520861 cites W2103218341 @default.
• W1969520861 cites W2106298859 @default.
• W1969520861 cites W2116605884 @default.
• W1969520861 cites W2118411610 @default.
• W1969520861 cites W2120429925 @default.
• W1969520861 cites W2129602274 @default.
• W1969520861 cites W2130510089 @default.
• W1969520861 cites W2134763426 @default.
• W1969520861 cites W2147737253 @default.
• W1969520861 cites W2152254020 @default.
• W1969520861 cites W2152481940 @default.
• W1969520861 cites W2156148697 @default.
• W1969520861 cites W2160340783 @default.
• W1969520861 cites W2166485214 @default.
• W1969520861 cites W3022646220 @default.
• W1969520861 cites W4231300832 @default.
• W1969520861 cites W4251778528 @default.
• W1969520861 cites W4252555002 @default.
• W1969520861 doi "https://doi.org/10.1017/s002211201000652x" @default.
• W1969520861 hasPublicationYear "2011" @default.
• W1969520861 type Work @default.
• W1969520861 sameAs 1969520861 @default.
• W1969520861 citedByCount "2" @default.
• W1969520861 countsByYear W19695208612014 @default.
• W1969520861 countsByYear W19695208612017 @default.
• W1969520861 crossrefType "journal-article" @default.
• W1969520861 hasAuthorship W1969520861A5044257878 @default.
• W1969520861 hasAuthorship W1969520861A5067154891 @default.
• W1969520861 hasConcept C121332964 @default.
• W1969520861 hasConcept C140820882 @default.
• W1969520861 hasConcept C177918212 @default.
• W1969520861 hasConcept C200114574 @default.
• W1969520861 hasConcept C2524010 @default.
• W1969520861 hasConcept C33923547 @default.
• W1969520861 hasConcept C57879066 @default.
• W1969520861 hasConcept C62520636 @default.
• W1969520861 hasConcept C74650414 @default.
• W1969520861 hasConcept C76563973 @default.
• W1969520861 hasConcept C86252789 @default.
• W1969520861 hasConceptScore W1969520861C121332964 @default.
• W1969520861 hasConceptScore W1969520861C140820882 @default.
• W1969520861 hasConceptScore W1969520861C177918212 @default.
• W1969520861 hasConceptScore W1969520861C200114574 @default.
• W1969520861 hasConceptScore W1969520861C2524010 @default.
• W1969520861 hasConceptScore W1969520861C33923547 @default.
• W1969520861 hasConceptScore W1969520861C57879066 @default.
• W1969520861 hasConceptScore W1969520861C62520636 @default.
• W1969520861 hasConceptScore W1969520861C74650414 @default.
• W1969520861 hasConceptScore W1969520861C76563973 @default.
• W1969520861 hasConceptScore W1969520861C86252789 @default.
• W1969520861 hasLocation W19695208611 @default.

• next