Abstract. Continuum equations for a two-phase fluid-particle flow are developed and applied to the problem of steady, laminar flow over an infinite porous flat plate. Both phases are assumed to behave as non-Newtonian power-law fluids. The effects of particle-particle interaction and diffusion of particles are taken into account in the mathematical model. In addition, the particle phase is assu...

Here we review a hybrid lattice Boltzmann algorithm to solve the equations of motion of cholesteric liquid crystals. The method consists in coupling a lattice Boltzmann solver for the Navier-Stokes equation to a finite difference method to solve the dynamical equations governing the evolution of the liquid crystalline order parameter. We apply this method to study the growth of cholesteric blue...

Phase retrieval algorithms, including the iterative transform algorithm and gradient search algorithms, were generalized to include the effects of propagation through a complicated optical system and to discount the effects of bad CCD pixels. For the gradient search algorithms, analytic gradients were derived that greatly speed up the computation over finite difference methods. For the Hubble S...

background: luteal phase support is mandatory in art (assisted reproductive technologies) for optimizing outcome, so the luteal phase is supported with either progesterone, addition of estradiol to progesterone, hcg or gonadotropin releasing hormone (gnrh) agonists. supplementation of luteal phase with progesterone is prescribed for women undergoing routine ivf treatment. objective: to compare ...

We report on the large area realization of GaN photonic crystal slabs with semipolar InGaN quantum wells (QWs) using laser interference lithography and selective area metalorganic vapour phase epitaxy (MOVPE). Directional extraction of guided modes was observed in angle-resolved photoluminescence spectroscopy (ARPL), and the photonic crystal slab dispersion relation was measured. A comparison o...

In this paper, we consider the problem of solving an 2 2 n n  sparse positive definite system b AU  , arising from the use of finite difference methods to solve an elliptic boundary value problem on an n n  mesh where 1 2   k n where k is a positive integer. The large sparse linear system can be solved directly in an efficient way using nested dissection method, originally proposed by Alan...

We consider the linear degenerate elliptic system of two first order equations u = −d(φ)(∇p − g) and ∇ · u + φp = φf , where d satisfies d(0) = 0 and is otherwise positive, and the porosity φ ≥ 0 may be zero on a set of positive measure. This model equation has a similar degeneracy to that arising in the equations describing the mechanical system modeling the dynamics of partially melted materi...

Background Different methods have been proposed to estimate Wall Shear Stress (WSS). Morgan and co-workers (J Thorac Cardiovasc Surg and Ann Biomed Eng 1998) used a finite difference scheme to quantify the WSS tensor. However, it is well known that finite-difference methods cannot effectively handle complex geometries, as those found in the cardiovascular system. To account for arbitrary cross-...

The performance of shared-memory (OpenMP) implementations of three different PDE solver kernels representing finite difference methods, finite volume methods, and spectral methods has been investigated. The experiments have been performed on a self-optimizing NUMA system, the Sun Orange prototype, using different data placement and thread scheduling strategies. The results show that correct dat...