We develop a new cell-centered control volume Lagrangian scheme for solving Euler equations of compressible gas dynamics in cylindrical coordinates. Based on a local coordinate transform strategy, the scheme can preserve one-dimensional spherical symmetry in a two-dimensional cylindrical geometry when computed on an equal-angle-zoned initial grid. Unlike many previous area weighted schemes that...

Organization of spherical particles into lattices is typically driven by packing considerations. Although the addition of directional binding can significantly broaden structural diversity, nanoscale implementation remains challenging. Here we investigate the assembly of clusters and lattices in which anisotropic polyhedral blocks coordinate isotropic spherical nanoparticles via shape-induced d...

SEAN HO: Profile Scale Spaces for Statistical Image Match in Bayesian Segmentation (Under the direction of Guido Gerig, Ph.D.) Object boundaries in images often exhibit a complex greylevel appearance, and modeling of that greylevel appearance is important in Bayesian segmentation. Traditional image match models such as gradient magnitude or static templates are insufficient to model complex and...

X iv :g rqc /0 30 80 37 v1 1 2 A ug 2 00 3 Role of Initial Data in Higher Dimensional Quasi-Spherical Gravitational Collapse Ujjal Debnath and Subenoy Chakraborty Department of Mathematics, Jadavpur University, Calcutta-32, India. (Dated: February 7, 2008) We study the gravitational collapse in (n+2)-D quasi-spherical Szekeres space-time (which possess no killing vectors) with dust as the matte...

Solutions to tensor, vector, and scalar linear inhomogeneous partial differential equations can be obtained by discrete Fourier inversion of the linear system. The inverse (Green’s function) problem can be cast into sets of single, double, and triple summation/integration expressions by using transcendental eigenfunction expansions in certain three-dimensional triply-orthogonal geometries whose...

The kinematics of a two rotational degrees-of-freedom (DOF) spherical parallel manipulator (SPM) is developed based on the coordinate transformation approach and the cosine rule of a trihedral angle. The angular displacement, angular velocity, and angular acceleration between the actuators and end-effector are thus determined. Moreover, the dynamic model of the 2-DOF SPM is established by using...

the planet. This atmosphere is assumed to be illuminated by a parallel radiation from a distant source. The general form of this equation in the spherical coordinate system with the axis in the direction toward the source is transformed to the form in which the zenith distances of the directions from the source and toward the point of observation, as well as the azimuth difference between the v...

We use the quasiparticle random-phase approximation (QRPA) and the Skyrme interactions SLy4 and SkM∗ to systematically calculate energies and transition strengths for the lowest 2+ state in spherical even-even nuclei. The SkM∗ functional, applied to 178 spherical nuclei between Z = 10 and 90, produces excitation energies that are on average 11% higher than experimental values, with residuals th...

Genetic algorithms (GAs) are useful in the eld of continuous parameter optimization. Many results indicate that, due to their robust-ness and their ability of escaping from local optima, GAs are especially suitable for optimizing multimodal functions that contain millions of misleading local optima. The existing theory is based on spherical symmetric functions and suggest an O(n ln n) complexit...

 This paper presents a comparison of different techniques to capture nominal data for its use in later verification and kinematic parameter identification procedures for articulated arm coordinate measuring machines (AACMM). By using four different probing systems (passive spherical probe, active spherical probe, self-centering passive probe and selfcentering active probe) the accuracy and rep...