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Marching iterative methods for the parabolized and thin layer Navier-Stokes equationsDownstream marching iterative schemes for the solution of the Parabolized or Thin Layer (PNS or TL) Navier-Stokes equations are described. Modifications of the primitive equation global relaxation sweep procedure result in efficient second-order marching schemes. These schemes take full account of the reduced order of the approximate equations as they behave like the SLOR for a single elliptic equation. The improved smoothing properties permit the introduction of Multi-Grid acceleration. The proposed algorithm is essentially Reynolds number independent and therefore can be applied to the solution of the subsonic Euler equations. The convergence rates are similar to those obtained by the Multi-Grid solution of a single elliptic equation; the storage is also comparable as only the pressure has to be stored on all levels. Extensions to three-dimensional and compressible subsonic flows are discussed. Numerical results are presented.
Document ID
19860009180
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Israeli, M. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 5, 2013
Publication Date
December 1, 1985
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
NAS 1.26:178028
NASA-CR-178028
ICASE-85-60
Accession Number
86N18650
Funding Number(s)
PROJECT: RTOP 505-31-83-01
CONTRACT_GRANT: NAS1-17070
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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