Abstract
Downstream 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.
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© 1985 Birkhäuser Boston, Inc.
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Israeli, M. (1985). Marching Iterative Methods for the Parabolized and Thin Layer Navier-Stokes Equations. In: Murman, E.M., Abarbanel, S.S. (eds) Progress and Supercomputing in Computational Fluid Dynamics. Progress in Scientific Computing, vol 6. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5162-0_11
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DOI: https://doi.org/10.1007/978-1-4612-5162-0_11
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-9591-4
Online ISBN: 978-1-4612-5162-0
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