Linear unconditional energy-stable splitting schemes for a phase-field model for Nematic-Isotropic flows with anchoring effects
| Autor: | Guillén González, Francisco Manuel, Rodríguez Bellido, María Ángeles, Tierra Chica, Giordano |
|---|---|
| Přispěvatelé: | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | idUS. Depósito de Investigación de la Universidad de Sevilla instname |
| Popis: | Two-phase flows composed of fluids exhibiting different microscopic structure are an important class of engineering materials. The dynamics of these flows are determined by the coupling among three different length scales: microscopic inside each component, mesoscopic interfacial morphology and macroscopic hydrodynamics. Moreover, in the case of complex fluids composed by the mixture between isotropic (newtonian fluid) and nematic (liquid crystal) flows, its interfaces exhibit novel dynamics due to anchoring effects of the liquid crystal molecules on the interface. Firstly, we have introduced a new differential problem to model Nematic-Isotropic mixtures, taking into account viscous, mixing, nematic and anchoring effects and reformulating the corresponding stress tensors in order to derive a dissipative energy law. Then, we provide two new linear unconditionally energy-stable splitting schemes. Moreover, we present several numerical simulations in order to show the efficiency of the proposed numerical schemes and the influence of the different types of anchoring effects in the dynamics of the system. Ministerio de Economía y Competitividad Fondo Europeo de Desarrollo Regional Ministry of Education, Youth and Sports of the Czech Republic |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|