| 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 |
|