Point Source Problems in Spherical Coordinates

Acoustical Holography in Spherical Coordinates for Noise Source Identification

During a study of reciprocating refrigerator compressor noise, it was desired to develop a new technique for visualizing of the vibrations of the shell surface. Previous investigators have shown the value of acoustical holography for this purpose in other applications. However, the spherical geometry of the compressor of interest required the use holography in spherical coordinates. The present...

Kirchhoff Inversion in Image Point Coordinates Recast as Source/Receiver Point Processing

Kirchhoff inversion theory tells us that reflection data provides information about the Fourier transform of the reflectivity function at each point in the illuminated subsurface. Thus, inversion formulas expressed as integrals in image point coordinates that closely characterize that Fourier domain are attractive for their relative simplicity. On the other hand, integrals over source/receiver ...

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...

The Laplacian in Spherical Polar Coordinates