Generalized spherical and simplicial coordinates

An Exact Solution for Lord-Shulman Generalized Coupled Thermoporoelasticity in Spherical Coordinates

In this paper, the generalized coupled thermoporoelasticity model of hollow and solid spheres under radial symmetric loading condition (r, t) is considered. A full analytical method is used and an exact unique solution of the generalized coupled equations is presented. The thermal, mechanical and pressure boundary conditions, the body force, the heat source and the injected volume rate per unit...

Generalized simplicial chiral models

Using the auxiliary field representation of the simplicial chiral models on a (d− 1)– dimensional simplex, we generalize the simplicial chiral models by replacing the term Tr(AA†) in the Lagrangian of these models, by an arbitrary class function of AA†; V (AA†). This is the same method that has been used in defining the generalized two– dimensional Yang–Mills theories (gYM2) from ordinary YM2. ...

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