Numerical simulations of incompressible flows by Mohamed M Hafez

By Mohamed M Hafez

This publication comprises 37 articles facing simulation of incompressible flows and purposes in lots of components. It covers numerical tools and set of rules advancements in addition to functions in aeronautics and different components. It represents the state-of-the-art within the box.

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34 Rogers, S. E. , "An Upwind Differncing Scheme for the Time-Accurate Incompressible Navier-Stokes Equations," AIAA Paper 88-2583, AIAA 6th Applied Aerodynamics Conference, Williamsburg, VA, June 6-8, 1988. Rogers, S. , Kwak, D. and Kiris, C , "Steady and Unsteady Solutions of the Incompressible Navier-Stokes Equations," AIAA J. Vol. 29, No. 4, 603-610, April 1991. Rogers, S. , Vol. 33, No. 10, Oct. 1995. , Kwak, D. , "A Fractional Step Solution Method for the Unsteady Incompressible Navier-Stokes Equations in Generalized Coordinate Systems," J.

This latter aspect stymies the natural extension of these methods to incompressible flow because the density is constant (or nearly so) for these flows. Chorin's formulation circumvents this problem by replacing the physical time-derivative of density in the continuity equation with an artificial time-derivative of pressure, thereby enabling a well-posed time-marching solution procedure t o be formulated for incompressible computations. 36 The notion of introducing artificial time-derivatives instead of the physical ones for the purpose of optimizing the time-iterative process proved to be a fundamentally revolutionary idea that led to the development of the so-called preconditioning methods [10-13].

VELOCITY Fig. 21. Pressure surfaces of the baseline design (top) and new Impeller design. 4 blade height Fig. 22. designs. Meridional velocity distribution along impeller blade height of various 13 X X "3 2 u c V m blade height Fig. 23. Hydrodynamic efficiency distribution along impeller blade height of various designs. The traces are colored by the relative total-velocity magnitude. The particles were released near the inducer leading edge, the hub, the inducer blade pressure side, and the tip regions.

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