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| dc.creator | Pauné i Xuriguera, Eduard | |
| dc.creator | Siegel, Michael | |
| dc.creator | Casademunt i Viader, Jaume | |
| dc.date | 2011-07-07T12:50:42Z | |
| dc.date | 2011-07-07T12:50:42Z | |
| dc.date | 2002 | |
| dc.date.accessioned | 2024-12-16T10:27:17Z | |
| dc.date.available | 2024-12-16T10:27:17Z | |
| dc.identifier | 1539-3755 | |
| dc.identifier | http://hdl.handle.net/2445/18692 | |
| dc.identifier | 514504 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/22209 | |
| dc.description | We study the singular effects of vanishingly small surface tension on the dynamics of finger competition in the Saffman-Taylor problem, using the asymptotic techniques described by Tanveer [Philos. Trans. R. Soc. London, Ser. A 343, 155 (1993)] and Siegel and Tanveer [Phys. Rev. Lett. 76, 419 (1996)], as well as direct numerical computation, following the numerical scheme of Hou, Lowengrub, and Shelley [J. Comput. Phys. 114, 312 (1994)]. We demonstrate the dramatic effects of small surface tension on the late time evolution of two-finger configurations with respect to exact (nonsingular) zero-surface-tension solutions. The effect is present even when the relevant zero-surface-tension solution has asymptotic behavior consistent with selection theory. Such singular effects, therefore, cannot be traced back to steady state selection theory, and imply a drastic global change in the structure of phase-space flow. They can be interpreted in the framework of a recently introduced dynamical solvability scenario according to which surface tension unfolds the structurally unstable flow, restoring the hyperbolicity of multifinger fixed points. | |
| dc.format | 13 p. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | The American Physical Society | |
| dc.relation | Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.66.046205 | |
| dc.relation | Physical Review E, 2002, vol. 66, núm. 4, p. 046205 | |
| dc.relation | http://dx.doi.org/10.1103/PhysRevE.66.046205 | |
| dc.rights | (c) The American Physical Society, 2002 | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Articles publicats en revistes (Física Quàntica i Astrofísica) | |
| dc.subject | Dinàmica de fluids | |
| dc.subject | Fluid dynamics | |
| dc.title | Effects of small surface tension in Hele-Shaw multifinger dynamics: an analytical and numerical study | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion |
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