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Shock-wave structure using nonlinear model Boltzmann equations.The structure of strong plane shock waves in a perfect monatomic gas was studied using four nonlinear models of the Boltzmann equation. The models involved the use of a simplified collision operator with velocity-independent collision frequency, in place of the complicated Boltzmann collision operator. The models employed were the BGK and ellipsoidal models developed by earlier authors, and the polynomial and trimodal gain function models developed during the work. An exact set of moment equations was derived for the density, velocity, temperature, viscous stress, and heat flux within the shock. This set was reduced to a pair of coupled nonlinear integral equations and solved using specially adapted numerical techniques. A new and simple Gauss-Seidel iteration was developed during the work and found to be as efficient as the best earlier iteration methods.
Document ID
19720051948
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Segal, B. M.
Ferziger, J. H.
(Stanford University Stanford, Calif., United States)
Date Acquired
August 6, 2013
Publication Date
July 1, 1972
Publication Information
Publication: Physics of Fluids
Volume: 15
Subject Category
Fluid Mechanics
Accession Number
72A35614
Funding Number(s)
CONTRACT_GRANT: NGR-05-020-420
CONTRACT_GRANT: NSF GK-4251
Distribution Limits
Public
Copyright
Other

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