Numerical solution of incompressible flows by a marching multigrid nonlinear method

Moshe Rosenfeld, Moshe Israeli

Research output: Contribution to conferencePaperpeer-review


A downstream marching iterative scheme for the solution of the steady, incompressible and two dimensional parabolized or thin layer NavierStokes equations is described for a general curvilinear orthogonal coordinate system. Modifications of the primitive equation global relaxation sweep procedure result in an efficient marching scheme. This scheme takes full account of the reduced order of the approximate equations as it behaves like the SLOR method for a single elliptic equation. The proposed algorithm is essentially Reynolds number independent and therefore can be applied to the solution of the incompressible Euler equations. A judicious choice of a staggered mesh enables second order accuracy even in the marching direction. The improved smoothing properties permit the introduction of Multi—Grid acceleration. 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. Numerical results are presented for several boundary layer type flow problems, including the flow over a spheroid at zero incidence.

Original languageEnglish
StatePublished - 1985
Externally publishedYes
Event7th Computational Physics Conference, 1985 - Cincinnati, United States
Duration: 15 Jul 198517 Jul 1985


Conference7th Computational Physics Conference, 1985
Country/TerritoryUnited States

Bibliographical note

Publisher Copyright:
© American Institute of Aeronautics and Astronautics, Inc., 1985. All rights reserved.


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