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Direct numerical solution of Poisson`s equation in cylindrical (r, z) coordinates

Technical Report ·
DOI:https://doi.org/10.2172/304205· OSTI ID:304205
; ;  [1];  [2]
  1. Princeton Univ., NJ (United States). Princeton Plasma Physics Lab.
  2. Univ. of California, San Diego, La Jolla (Canada). Dept. of Physics
A direct solver method is developed for solving Poisson`s equation numerically for the electrostatic potential {phi}(r,z) in a cylindrical region (r < R{sub wall}, 0 < z < L). The method assumes the charge density {rho}(r,z) and wall potential {phi}(r = R{sub wall}, z) are specified, and {partial_derivative}{phi}/{partial_derivative}z = 0 at the axial boundaries (z = 0, L).
Research Organization:
Princeton Univ., Princeton Plasma Physics Lab., NJ (United States)
Sponsoring Organization:
USDOE Office of Energy Research, Washington, DC (United States)
DOE Contract Number:
AC02-76CH03073
OSTI ID:
304205
Report Number(s):
PPPL--3251; ON: DE97053509
Country of Publication:
United States
Language:
English

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