Basis function expansions for galactic dynamics: Spherical versus cylindrical coordinates

Section 13.7 Cylindrical and Spherical Coordinates

SPH in spherical and cylindrical coordinates

New kernel functions for spherically, planar and cylindrically symmetric problems are developed, based on the fundamental interpolation theory of SPH. The Lagrangian formalism is used to derive the corresponding set of modified SPH equations of motion. The results show good agreement both with analytical and numerical results, in the case of the Sod shock tube test, the Noh infinite shock probl...

Marching Cubes in Cylindrical and Spherical Coordinates

lsosurface extraction is a colrirnon analysis and visualization technique for tllrec-dirne~ls ior)al sc.a]ar data. Marc.]iing (hlt)cs k the Inost cow)rno~lly-used a]gorit]lm for fl]lding ~)o]ygona] reprcm)itatiolls of isosurfaces in such data. We extc]ld hflarching 011.)es to produce geometry f o r data scis that lie in spherical and cylirldric.al coordi]]atc syskns as well as show the ste]w fo...

High order schemes for cylindrical/spherical coordinates with radial symmetry

In this paper, we implement finite volume Weighted Essentially Non-Oscillatory (WENO) schemes in both cylindrical and spherical coordinate systems for the Euler equations with cylindrical or spherical symmetry. We analyze three different spatial discretizations: one that is shown to be high-order accurate but not conservative, one conservative but not high-order accurate, and one both high-orde...

Cylindrical versus Spherical Resonant Antennas for Gravitational Wave Detection

The principles and detection of gravitational waves by resonant antennas are briefly discussed. But the main purpose of this short note is to compare the two geometries of resonant antennas, the well-known cylindrical to the spherical type. Some features of a two sphere observatory are also discussed. [email protected] 1