Chun Liu, Jie Shen, James J. Feng & Pengtao Yue
Mathematical Models and Methods in
editor: Alain Miranville
Chapter 11, pp. 259-278. Nova Publishers, New York (2005).
Abstract - A general variational approach for
the study of mixtures of complex fluids is described in this paper. In
particular, the special coupling between the transport of the
microscopic variables by the flow and the induced elastic stress is
elaborated, and an efficient numerical scheme based on a stabilized
semi-implicit discretization in time and a well-conditioned
spectral-Galerkin method in space is also presented. As examples of
applications, the Marangoni-Benard convection and the mixture of
nematic liquid crystal with a Newtonian fluid are considered. Some
numerical simulations indicating the robustness and versatility of the
proposed approach are presented.