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

Title: Efficient computation of the 3D Green's function with one dimensional periodicity using the Ewald method.

Abstract

No abstract prepared.

Authors:
;  [1];  [2]
  1. (University of Houston, Houston, TX)
  2. (University of Siena, Siena, Italy)
Publication Date:
Research Org.:
Sandia National Laboratories
Sponsoring Org.:
USDOE
OSTI Identifier:
892047
Report Number(s):
SAND2006-0189C
TRN: US200622%%580
DOE Contract Number:
AC04-94AL85000
Resource Type:
Conference
Resource Relation:
Conference: Proposed for presentation at the Joint IEEE AP-S/URSI/AMEREM 2006 International Symposium, July 9-14, 2006, Albuquerque, NM.
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; GREEN FUNCTION; THREE-DIMENSIONAL CALCULATIONS; ONE-DIMENSIONAL CALCULATIONS

Citation Formats

Johnson, William Arthur, Wilton, Donald R., and Capolino, F. Efficient computation of the 3D Green's function with one dimensional periodicity using the Ewald method.. United States: N. p., 2006. Web.
Johnson, William Arthur, Wilton, Donald R., & Capolino, F. Efficient computation of the 3D Green's function with one dimensional periodicity using the Ewald method.. United States.
Johnson, William Arthur, Wilton, Donald R., and Capolino, F. Sun . "Efficient computation of the 3D Green's function with one dimensional periodicity using the Ewald method.". United States. doi:.
@article{osti_892047,
title = {Efficient computation of the 3D Green's function with one dimensional periodicity using the Ewald method.},
author = {Johnson, William Arthur and Wilton, Donald R. and Capolino, F.},
abstractNote = {No abstract prepared.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}

Conference:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save / Share:
  • No abstract prepared.
  • No abstract prepared.
  • The plasma energy W/sub p/ = integral ..cap omega../sub p/(1/2B/sup 2/ + p)dV is minimized over a toroidal domain ..cap omega../sub p/ using an inverse representation for the cylindrical coordinates R = ..sigma..R/sub mn/(s)cos(mtheta - n zeta) and Z = ..sigma..Z/sub mn/(s)sin(mtheta - n zeta), where (s,theta,zeta) are radial, poloidal, and toroidal flux coordinates, respectively. The radial resolution of the MHD equations is significantly improved by separating R and Z into contributions from even and odd poloidal harmonics which are individually analytic near the magnetic axis. A free boundary equilibrium results when ..cap omega../sub p/ is varied to make themore » total pressure 1/2B/sup 2/ + p continuous at the plasma surface ..sigma../sub p/ and when the vacuum magnetic field B/sub ..nu../ satisfies the Neumann condition B/sub ..nu../ x d..sigma../sub p/ = 0. The vacuum field is decomposed as B/sub ..nu../ = B/sub 0/ + del Phi, where B/sub 0/ is the field arising from plasma currents and external coils and Phi is a single-valued potential necessary to satisfy B/sub ..nu../ x d..sigma../sub p/ = 0 when p not equal to 0. A Green's function method is used to obtain an integral equation over ..sigma../sub p/ for the scalar magnetic potential Phi = ..sigma..Phi/sub mn/sin(mtheta - n zeta). A linear matrix equation is solved for Phi/sub mn/ to determine 1/2 B/sub ..nu..//sup 2/ on the boundary. Real experimental conditions are simulated by keeping the external and net plasma currents constant during the iteration. Applications to l = 2 stellarator equilibria are presented.« less
  • This paper describes a Monte Carlo transport kernel capability, which has recently been incorporated into the RACER continuous-energy Monte Carlo code. The kernels represent a Green's function method for neutron transport from a fixed-source volume out to a particular volume of interest. This method is very powerful transport technique. Also, since kernels are evaluated numerically by Monte Carlo, the problem geometry can be arbitrarily complex, yet exact. This method is intended for problems where an ex-core neutron response must be determined for a variety of reactor conditions. Two examples are ex-core neutron detector response and vessel critical weld fast flux.more » The response is expressed in terms of neutron transport kernels weighted by a core fission source distribution. In these types of calculations, the response must be computed for hundreds of source distributions, but the kernels only need to be calculated once. The advance described in this paper is that the kernels are generated with a highly accurate three-dimensional Monte Carlo transport calculation instead of an approximate method such as line-of-sight attenuation theory or a synthesized three-dimensional discrete ordinates solution.« less
  • Calculations on dc behaviors of Josephson structures in pure limit are made based on the one-dimensional Green's function method. A close resemblance is found to exist between the behavior of the double-barrier-tunneling system and that of the short microbridge.