Implementation of incremental yield conditions in spherical coordinates

Incremental Spherical Linear Interpolation

Animation is often done by setting up a sequence of key orientations, represented by quaternions. The in between orientations are obtained by spherical linear interpolation (SLERP) of the quaternions, which then can be used to rotate the objects. However, SLERP involves the computation of trigonometric functions, which are computationally expensive. Since it is often required that the angle bet...

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

Equivalence conditions for the finite volume and finite element methods in spherical coordinates

A numerical technique for the solution of the compressible flow equations over unstructured grids in a spherical reference is presented. The proposed approach is based on a mixed finite volume/finite element discretization in space. Equivalence conditions relating the finite volume and the finite element metrics in spherical coordinates are derived. Numerical simulations of the explosion and im...