Final Report on AFOSR (Air Force Office of Scientific Research) Contract F49620-83-C-0064 on Massachusetts Institute of Technology, Cambridge. Volume 2.
Rept. for 1 Feb 83-30 Nov 84,
MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF MATHEMATICS
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Downstream marching iterative schemes for the solution of the Parabolized or Thin LayerPNS 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 on is also comparable as only the pressure has to be stored all levels. Extensions to three-dimensional and compressional subsonic flows are discussed. Numerical results are presented. Keywords Steady imcompressible two dimensional equations.
- Fluid Mechanics
- Numerical Mathematics