We propose a new numerical technique to deal with nonlinear terms in gradient flows. By
introducing a scalar auxiliary variable (SAV), we construct efficient and robust energy stable …

The scalar auxiliary variable (SAV) method was introduced by Shen et al. in [36] and has
been broadly used to solve thermodynamically consistent PDE problems. By utilizing scalar …

Complex fluids encompass a significant proportion of the materials we utilise today from
feedstocks such as cellulose fibre dispersions, materials undergoing processing or …

The purpose of this paper is to extend the rheological predictions of the Doi-Hess kinetic
theory for sheared nematic polymers from the anomalous weak shear regime (Forest et al …

We study Onsager's model of isotropic–nematic phase transitions with orientation parameter
on a sphere. We consider two interaction potentials: the antisymmetric (with respect to …

We consider the Saintillan–Shelley kinetic model of active rod-like particles in Stokes flow
(Saintillan & Shelley, Phys. Rev. Lett., vol. 100, issue 17, 2008a, 178103; Saintillan & …

We investigate critical points of the Onsager free-energy model on a sphere with different
potential kernels, including the dipolar potential, the Maier–Saupe potential, the coupled …

Abstract We consider Navier-Stokes equations coupled to nonlinear Fokker-Planck
equations describing the probability distribution of particles interacting with fluids. We …

For the first time, we have simulated the periodic collective orientational motions performed
by rigid liquid-crystalline polymers with large aspect ratio in the nematic state in shear flow …

This review presents theory and simulation of liquid crystal phase ordering in biological
fibrous materials, solutions, and composites in the presence of elastic fields, second phase …