By Joseph L. Steger (auth.), M. Y. Hussaini, A. Kumar, M. D. Salas (eds.)
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52  G. Chavent, B. Cockburn, G. Cohen, J. Jaffre: A discontinuous > FEM for nonlinear hyperbolic equations. IN Innovative Methods in Engineering. Springer 1984. O. Bristeau, R. Glowinski, L.
In more space dimensions the theory is not satisfactory, because the methods in use are often based on dimensional splitting, which can only be justified for smooth solutions. There has been an explosion of powerful methods. Without them many problems, especially with strong shocks, are difficult to solve. Still, the theory for systems in two or three space dimensions is not yet completely developed. 4. Not all scales can be resolved Typical examples are turbulent flows, which are solutions of the incompressible Navier-Stokes (N-S) equations.
Considerable algorithm development will be required. 3. Conclusion Several issues concerning future direction in CFD were discussed above. Although it is desirable from a management point of view to make choices on the future directions, the view of the CFD landscape is presently unclear, its computer environment is rapidly changing, and decisions to eliminate some approaches now could be premature. Acknowledgement The author would like to thank the following individuals for their time and generosity in sharing their views of the future of CFD.