This volume presents recent advances in computational fluid dynamics. The topics range from fundamentals and computational techniques to a wide variety of applications in astronomy, applied mathematics and meteorology. They describe recent calculations in direct numerical simulation of turbulence, applications of turbulence modelling of pollution problems in mesoscale meteorology and industrial applications. The emerging topic of parallelization of CFD codes is also presented. This volume should appeal to graduate students, researchers and anyone interested in using digital computation as a powerful tool for solving fluid dynamics problems in science and technology.

Numerical solution of the governing equations of fluid dynamics has been both a challenge and a source of useful information in the last fifty years since the first electronic computers became available.

The lack of analytical tools and the pressing need to describe and predict various astrophysical and geophysical flows and solve many engineering problems, prompted scientists and engineers to develop methods to solve approximate versions of the fluid dynamics equations. Early attempts were unsuccessful due to incomplete theories of errors and the impossibility to perform very large amount of floating point operations in reasonable amounts of time.

These two topics of scientific activity have seen tremendous progress in the last years; digital electronic computers have increased in speed and memory capacity by many orders of magnitude. Presently, solutions to Navier-Stokes equations have been obtained for as many as 20003 = 8 x 109 control volumes in clusters of supercomputers as described in the paper authored by Woodward et al. in the present volume. Another promising avenue for finding the solution for problems requiring intensive numerical calculations is the parallel solution of independent segments of the total volume of integration. Although these methods are still in the process of being refined, they have proved their usefulnes in several important examples of transfer processes in engineering and meteorology. Details of such methods are discussed in the papers by Carey et al. and Jabouille.