Residual potential method in spherical coordinates and related approximations

Residual Potential Method in Spherical Coordinates and Related Approximations

The Residual Potential Method, introduced by Geers [ l ] , appears to be a very promising technique in the solution of sol id-f luid interaction problems. The theoretical development of the method in cylindrical coordinates was presented in [1,2]. In [3], Geers presents some numerical results obtained using the Residual Potential Method in spherical coordinates; however, the theoretical treatme...

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...

Section 13.7 Cylindrical and Spherical Coordinates

The Laplacian in Spherical Polar Coordinates