Mathematical analysis of multi-scale models of complex fluids

T Li, P Zhang - 2007 - projecteuclid.org
The state of the art of the mathematical and numerical analysis of multi-scale models of
complex fluids is reviewed. Issues addressed include well-posedness of the models …

Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings

Y Di, R Li, T Tang, P Zhang - SIAM Journal on Scientific Computing, 2006 - SIAM
This work is concerned with developing moving mesh strategies for solving problems
defined on a sphere. To construct mappings between the physical domain and the logical …

A theoretical and numerical study for the rod-like model of a polymeric fluid

H Zhang, P Zhang - Journal of Computational Mathematics, 2004 - JSTOR
The first part of this paper is concerned with the well-posedness for the rigid rod-like model
in shear flow of a polymeric fluid. The constitutive relations considered in this work are …

[PDF][PDF] Moving mesh kinetic simulation for sheared rodlike polymers with high potential intensities

Y Di, P Zhang - Commun. Comput. Phys, 2006 - global-sci.com
The Doi-Hess equation that describes the evolution of an orientational distribution function is
capable of predicting several rheological features of nematic polymers. Since the …