Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 25 de junio de 2019
Hora  : 11:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Giordano Tierra Chica

(Temple University, USA)

Resumen

In this talk I will present new linear energy-stable numerical schemes for the numerical simulation of complex polymer-solvent mixtures. In particular, the mathematical model considered is the thermodynamically consistent one proposed by Zhou et al. [1] which consists on a modified Cahn-Hilliard equation that describes the dynamics of the interface that separates polymer and solvent phases, together with the Oldroyd-B equations for the hydrodynamics of polymeric mixtures. The main contribution of this work is the derivation of numerical schemes that are energy dissipative and efficient in time. To this end I will present the resultant linear time discrete schemes and discuss their properties. This contribution is based on joint work with Paul J. Strasser, Maria Lukácovà-Medvid'ová (Johannes Gutenberg University Mainz, Germany) and Burkhard Dünweg (Max Planck Institute for Polymer Research, Mainz, Germany). Bibliography [1] D. Zhou, P. Zhang, W. E, Modified models of polymer phase separation, Phys. Rev. E 73 (6) (2006) 061801