By Joseph L. Steger (auth.), M. Y. Hussaini, A. Kumar, M. D. Salas (eds.)

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These techniques were in use by industry within a couple of years after their presentation. On the other hand, the transfer of technology to industry for methods for solving the Navier-Stokes equations has been exceedingly slow. The main reasons for this hesitation by industry is the higher computer expense in running Navier-Stokes code~, the lack of confi- 24 dence in the turbulence modeling, and the large investment by industry in inviscid flow codes plus boundary layer interaction programs. Until fairly recently, potential flow plus boundary layer equation solution techniques performed as well as or better than the more expensive Navier-Stokes plus turbulence modeling procedures for industrial use.

92 ,1,pl-66, 1991. O. Jacquotte: A mechanical model for a new generation method in CFD. Compo Meths. Appl. Mech. Eng. 66, p323-338, 1988. A. Nicolaides: Analysis and Convergence of the MAC scheme. SIAM. J. Numer. Ana. (to appear, 1992). 1. C. Rheinbolt: A posteriori estimates for the finite element method. Int. J. Numer. Methods in Engrg. 12 : 15971615, 1978. R. Bank, N. Welfeirt: A posteriori estimates and automatic mesh refinement for the Stokes problem (to appear in SIAM numer Anal). R. Verfurth: A posteriori error estimators and adaptive meshrefinement techniques for the Navier-Stokes equations.

Methods in Engrg. 12 : 15971615, 1978. R. Bank, N. Welfeirt: A posteriori estimates and automatic mesh refinement for the Stokes problem (to appear in SIAM numer Anal). R. Verfurth: A posteriori error estimators and adaptive meshrefinement techniques for the Navier-Stokes equations. In Gunzburger, M. D. Nicolaides, R. A. (Eds) Incompressible CFDTrends and Advances. Cambridge University Press. 1991. O. Bristeau, R. Glowinski, B. Mantel, J. Periaux, G. Roge: Adaptive Finite Element Methods for three dimensional viscous flow simulation in aerospace engineering.

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