The Resource An unconditionally stable implicit difference scheme for the hydrodynamical equations, by James Turner and Burgon Wendroff

An unconditionally stable implicit difference scheme for the hydrodynamical equations, by James Turner and Burgon Wendroff

Label
An unconditionally stable implicit difference scheme for the hydrodynamical equations
Title
An unconditionally stable implicit difference scheme for the hydrodynamical equations
Statement of responsibility
by James Turner and Burgon Wendroff
Creator
Contributor
Subject
Language
eng
Summary
We solve two hydrodynamical problems. The first involves a shock wave, a contact discontinuity, and a rarefaction wave using an unconditionally stable finite difference scheme. The Courant condition is satisfied everywhere except in one zone behind the shock, where it is violated by factors of 10 and 100. The nonlinear difference equations are solved by Newton's method. The total number of Newton iterations to get to a certain time is apparently independent of the degree to which the normal stability condition is violated in the one zone. The second problem involves two rarefaction waves moving in opposite directions. One wave moves in a region where the Courant condition is violated by a factor of approximately two. The other wave moves in a region where the Courant condition is satisfied. Numerical results are compared with the analytical solution. An examination of several runs indicates one explicit time step is about five times as fast as one implicit time step. Therefore, use of the implicit method is indicated when the Courant condition is violated by a factor of 5 or more
Member of
Action
digitized
Cataloging source
OCLCE
http://bibfra.me/vocab/lite/collectionName
Technical Report Archive & Image Library (TRAIL)
http://library.link/vocab/creatorName
Turner, James
Government publication
federal national government publication
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Wendroff, Burton
  • U.S. Atomic Energy Commission
  • Los Alamos Scientific Laboratory
Series statement
  • LA Series Los Alamos, N.M.
  • TID
Series volume
  • 3007
  • 4500 27th ed
http://library.link/vocab/subjectName
  • Hydrodynamics
  • Hydrodynamics
Label
An unconditionally stable implicit difference scheme for the hydrodynamical equations, by James Turner and Burgon Wendroff
Link
Instantiates
Publication
Note
  • "Report written: October 1, 1963; Report distributed: April 15, 1964."
  • "LA-3007 ; UC-32, Mathematics and Computers; TID-4500 (27th Ed.)."
  • "Contract W-7405-ENG.36 with the U.S. Atomic Energy Commission."
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (page 33)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
1 online resource (45 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)852766822
  • (OCoLC)ocn852766822
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
An unconditionally stable implicit difference scheme for the hydrodynamical equations, by James Turner and Burgon Wendroff
Link
Publication
Note
  • "Report written: October 1, 1963; Report distributed: April 15, 1964."
  • "LA-3007 ; UC-32, Mathematics and Computers; TID-4500 (27th Ed.)."
  • "Contract W-7405-ENG.36 with the U.S. Atomic Energy Commission."
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (page 33)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
1 online resource (45 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)852766822
  • (OCoLC)ocn852766822
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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