			Home About us Contact

Rectangular Lattice (rectangular + lattice)

Distribution by Scientific Domains

Polymers and Materials Science	33%
Engineering	33%

Selected Abstracts

Microstructured Surfaces for Directional Wetting

ADVANCED MATERIALS, Issue 47 2009
Ville Jokinen
Directional wetting on limited sectors of surfaces is achieved on partially wetting microstructured surfaces by placing nonsymmetrical microstructures in a regular rectangular lattice. Droplet spreading to a 90° sector is possible when the microstructures are designed to present broad features towards the right and top and sharp features towards the left and bottom (see image). [source]

A lattice Boltzmann method for solute transport

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 8 2009
Jian Guo Zhou
Abstract A lattice Boltzmann method is developed for solute transport. Proper expressions for the local equilibrium distribution functions enable the method to be formulated on rectangular lattice with the same simple procedure as that on a square lattice. This provides an additional advantage over a lattice Boltzmann method on a square lattice for problems characterized by dominant phenomenon in one direction and relatively weak in another such as solute transport in shear flow over a narrow channel, where the problems can efficiently be approached with fine and coarse meshes, respectively, resulting in more efficient algorithm. The stability conditions are also described. The proposed method on a square lattice is naturally recovered when a square lattice is used. It is verified by solving four tests and compared with the analytical/exact solutions. They are in good agreement, demonstrating that the method is simple, accurate and robust for solute transport. Copyright © 2008 John Wiley & Sons, Ltd. [source]

Rendez-vous search on a rectangular lattice

NAVAL RESEARCH LOGISTICS: AN INTERNATIONAL JOURNAL, Issue 5 2007
William H. Ruckle
Abstract In a rendez-vous search two or more teams called seekers try to minimize the time needed to find each other. In this paper, we consider s seekers in a rectangular lattice of locations where each knows the configuration of the lattice, the distribution of the seekers at time 0, and its own location, but not the location of any other. We measure time discretely, in turns. A meeting takes place when the two seekers reach the same point or adjacent points. The main result is that for any dimension of lattice, any initial distribution of seekers there are optimal strategies for the seekers that converge (in a way we shall make clear) to a center. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007 [source]

Determination of Gradient and Curvature Constrained Optimal Paths

COMPUTER-AIDED CIVIL AND INFRASTRUCTURE ENGINEERING, Issue 1 2006
Michael J. De Smith
Initially, we examine the case of a single (global) gradient constraint and a planar surface, with or without boundaries and obstacles. This leads to a consideration of surface representation using rectangular lattices and procedures for determining shortest gradient-constrained paths across such surfaces. Gradient-constrained distance transforms are introduced as a new procedure to enable such optimal paths to be computed, and examples are provided for a range of landform profiles and gradients. Horizontal and vertical curvature constraints are then analyzed and incorporated into final solution paths at subsequent stages of the optimization process. Such paths may then be used as preanalyzed input to detailed cost and engineering models to speed up, and where possible improve, the quality and cost-effectiveness of route selection. [source]

Cell Migration: Guided Cell Migration on Microtextured Substrates with Variable Local Density and Anisotropy (Adv. Funct.

ADVANCED FUNCTIONAL MATERIALS, Issue 10 2009
Mater.
A novel microtextured cell substrate with variable local density and anisotropy as a platform for guided cell migration is presented by A. Levchenko, K.-Y. Suh, et al. on page 1579. A simple, scalable, and cost-effective technique, capillary force lithography, is used to fabricate precise microtopographic features on an optically transparent glass coverslip. Live cell motility is found to be extremely sensitive to variation in the local density and anisotropy of rectangular lattices, with cell elongation and speed decreasing on a symmetric lattice. Cells integrate orthogonal contact guidance cues when determining the direction of their orientation and movement. [source]