Phase-field model of Hele-Shaw flows in the high-viscosity constrast regime
A one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-fi...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/2517 |
| Acceso en línea: | https://hdl.handle.net/2117/2517 https://dx.doi.org/10.1103/PhysRevE.68.046310 |
| Access Level: | acceso abierto |
| Palabra clave: | Nonlinear systems Fluid dynamics. Nonlinear dynamics Hele-Shaw flows Phase-field Sistemes no lineals Dinàmica de fluids Àrees temàtiques de la UPC::Física |
| Sumario: | A one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-field model in a rectangular Hele-Shaw cell reproduce finger competition with the final evolution to a steady-state finger. |
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