skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Application of program POISSON to axially-symmetric problems - magnetostatic and electrostatic - with use of a prolate spheroidal boundary

Technical Report ·
DOI:https://doi.org/10.2172/5721115· OSTI ID:5721115

A version of the relaxation program POISSON has been produced that, for magnetostatic problems, can apply a boundary condition consistent with no external sources being present. This capability includes the treatment of axially-symmetric cases (using A* = rhoA as the working variable) with a boundary whose form is that of a prolate spheroid (and hence tends toward spherical in the limit eta = a/..sqrt..a/sup 2/ - b/sup 2/ ..-->.. infinity). (LBL-18798/UC-28 (December 1984)). The treatment of electrostatic problems (to obtain solutions for the scalar potential V) necessarily must differ in detail from the treatment of magnetostatic problems in cases of axial symmetry. It seems desirable, therefore, first to review the magnetostatic treatment that has been adopted for such axially-symmetric magnetostatic problems and then to suggest an analogous treatment that might similarly be introduced into the program to permit solution of similar electrostatic problems (again through the introduction of a prolate spheroidal boundary).

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
DOE Contract Number:
AC03-76SF00098
OSTI ID:
5721115
Report Number(s):
LBL-20893; ON: DE86012826
Resource Relation:
Other Information: Portions of this document are illegible in microfiche products. Original copy available until stock is exhausted
Country of Publication:
United States
Language:
English