The Resource Computer programs using zonal harmonics for magnetic properties of current systems with special reference to the IBM 7090, M.W. Garrett

Computer programs using zonal harmonics for magnetic properties of current systems with special reference to the IBM 7090, M.W. Garrett

Label
Computer programs using zonal harmonics for magnetic properties of current systems with special reference to the IBM 7090
Title
Computer programs using zonal harmonics for magnetic properties of current systems with special reference to the IBM 7090
Statement of responsibility
M.W. Garrett
Title variation
Thermonuclear Division
Creator
Contributor
Subject
Language
eng
Summary
The magnetic vector and scalar potentials, magnetic field components and their derivatives, and flux linkage for single current systems, and the mutual inductance, forces and torques between two such systems, whose axes are coplanar but not necessarily coincident are discussed. Each system may include a combination of coaxial loops, cylindrical or plane annular current sheets, and cylindrical coils of rectagular section. Working equations are listed, following an outline of theory. A discussion of errors and of means for reducing them leads to specific suggestions ior use of the method with any programmed computer. An existing comprehensive program for the IBM 7090 is described in detail. The rate of convergence of the harmonic series depends on the ratio R of the polar radius of the field point to that of the current discontinuity nearest the origin. In some cases the precision reaches 1000 parts per million even at R = 0.95, improving to 1 or 2 parts at R = 0.80. Since the origin is arbitrary, the practical range of the method often includes the whole space that is accessible to experiment. For very close approach to the windings one must resort to elliptic integrai methods or their equivalent. Alternative programs that were previously used are compared with the method of zonal harmonics, but they are slower by more than a factor of 10 when large numbers of field calculations must be made on a complex curCent system. One example is the problem of following individual ions through paths in the order of 100 turns in a field that is generated by 20 coaxial thick coils; available competing methods would have required too much computer time. The zonal harmonlc method also has superior flexibility in attacking a wide range of problems. This is especially true for the calculation of rates of change, with respect to coordinates of the field or of the generating system, and for problems in which some property of a system must be not only calculated, but also adjusted to meet a specification. (auth)
Member of
Action
digitized
Cataloging source
TRAAL
http://bibfra.me/vocab/lite/collectionName
Technical Report Archive & Image Library (TRAIL)
http://library.link/vocab/creatorName
Garrett, M. W
Funding information
Operated by Union Carbide Corporation for the U.S. Atomic Energy Commission
Government publication
federal national government publication
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • technical reports
http://library.link/vocab/relatedWorkOrContributorName
  • U.S. Atomic Energy Commission
  • Oak Ridge National Laboratory
Series statement
  • ORNL
  • TID
  • UC Series. 32, Mathematics and Computers
Series volume
  • 3318
  • 4500 18th ed
http://library.link/vocab/subjectName
  • Nuclear reactors
  • Spherical harmonics
Label
Computer programs using zonal harmonics for magnetic properties of current systems with special reference to the IBM 7090, M.W. Garrett
Link
http://digital.library.unt.edu/ark:/67531/metadc100425/
Instantiates
Publication
Note
"ORNL-3318."
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (page 41)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
1 online resource (43 pages)
Form of item
online
Level of compression
  • lossless
  • lossy
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations.
Reformatting quality
  • preservation
  • access
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
  • (OCoLC)911138302
  • (OCoLC)ocn911138302
System details
Master and use copy. Digital master created according to Technical Guidelines for Digitizing Archival Materials for Electronic Access. U.S. National Archives and Records Administration, 2004.
Label
Computer programs using zonal harmonics for magnetic properties of current systems with special reference to the IBM 7090, M.W. Garrett
Link
http://digital.library.unt.edu/ark:/67531/metadc100425/
Publication
Note
"ORNL-3318."
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (page 41)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
1 online resource (43 pages)
Form of item
online
Level of compression
  • lossless
  • lossy
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations.
Reformatting quality
  • preservation
  • access
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
  • (OCoLC)911138302
  • (OCoLC)ocn911138302
System details
Master and use copy. Digital master created according to Technical Guidelines for Digitizing Archival Materials for Electronic Access. U.S. National Archives and Records Administration, 2004.

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