The Resource Lagrangian difference approximations for fluid dynamics, by Jacob E. Fromm

Lagrangian difference approximations for fluid dynamics, by Jacob E. Fromm

Label
Lagrangian difference approximations for fluid dynamics
Title
Lagrangian difference approximations for fluid dynamics
Statement of responsibility
by Jacob E. Fromm
Creator
Contributor
Subject
Language
eng
Summary
Various procedures are given for writing explicit difference approximations to the one-dimensional lagrangian hydrodynamics equations. Computational comparisons are made among systems of equations with timing modifications. These comparisons lead to experimentally superior differencing forms. Stability analyses of these difference forms show the reasons for the superiority of one form over another. Of greater importance, the stability criteria obtained show the function of an artificially introduced diffusion term required in the treatment here given to shocks. The stability criterion in each case involves the familiar Courant condition and a term which corresponds to the stability criterion of the diffusion equation. Upper limits to the magnitude of the coefficient of the diffusion term are established as a function of Courant number. While lower limits are also indicated, they require modification when shocks are involved. Alternate differencing schemes are considered in which the previously-used total energy calculation is replaced by an internal energy calculation. It is shown that care must be taken that the kinetic and internal energies are expressible in terms of local quantities. That is, in addition to the equations being conservative in a gross sense, they must also be locally conservative. This is necessary in order that the energy condition of the Rankine-Hugoniot equations be satisfied when shocks arise. Finally discussion is given to errors resulting from the replacement of shocks by a shock layer, that is, errors connected with the artificially inserted diffusion term. These errors are manifested in distortions of profiles at material discontinuities through which shocks have passed and in rarefactions associated with such occurrences. The errors in turn effect stability in the vicinity of the material discontinuities
Member of
Action
digitized
Cataloging source
OCLCE
http://bibfra.me/vocab/lite/collectionName
Technical Report Archive & Image Library (TRAIL)
http://library.link/vocab/creatorName
Fromm, Jacob E
Government publication
federal national government publication
Illustrations
illustrations
Index
no index present
LC call number
QA911
LC item number
.F7
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • technical reports
http://library.link/vocab/relatedWorkOrContributorName
  • Los Alamos Scientific Laboratory
  • U.S. Atomic Energy Commission
Series statement
  • LA-2535, Physics
  • TID
Series volume
4500 16th ed
http://library.link/vocab/subjectName
  • Fluid dynamics
  • Lagrange equations
  • Fluid dynamics
  • Lagrange equations
Label
Lagrangian difference approximations for fluid dynamics, by Jacob E. Fromm
Link
Instantiates
Publication
Note
  • "Report written: March 1961."
  • "Report distributed June 14, 1961."
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (page 49)
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 (70 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)852768070
  • (OCoLC)ocn852768070
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
Lagrangian difference approximations for fluid dynamics, by Jacob E. Fromm
Link
Publication
Note
  • "Report written: March 1961."
  • "Report distributed June 14, 1961."
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (page 49)
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 (70 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)852768070
  • (OCoLC)ocn852768070
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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