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A modified dodge algorithm for the parabolized Navier–Stokes equations and compressible duct flows

✍ Scribed by C. H. Cooke; Douglas M. Dwoyer

Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
916 KB
Volume
3
Category
Article
ISSN
0271-2091

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✦ Synopsis

A revised version of Dodge's split-velocity method for numerical calculation of compressible duct flow has been developed. The revision incorporates balancing of mass flow rates on each marching step in order to maintain front-to-back continuity during the calculation. The (chequerboard) zebra algorithm is applied to solution of the three-dimensional continuity equation in conservative form. A secondorder A-stable linear multistep method is employed in effecting a marching solution of the parabolized momentum equations. A chequerboard iteration is ued to solve the resulting implicit non-linear systems of finite-difference equations which govern stepwise transition. Qualitive agreement with analytical predictions and experimental results has been obtained for some flows with well-known solutions.

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