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Computational Fluid Dynamics: Principles and Applications

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The history of Computational Fluid Dynamics, or CFD for short,, started in the early 1970’s. Around that time, it became an acronym for a combination of physics, numerical mathematics, and, to some extent, computer sciences employed to simulate fluid flows. The beginning of CFD was triggered by the availability of increasingly more powerful mainframes and the advances in CFD are still tightly coupled to the evolution of computer technology. Among the first applications of the CFD methods was the simulation of transonic flows based on the solution of the non-linear potential equation. With the beginning of the 1980’s, the solution of first two-dimensional (2-D) and later also threedimensional (3-D) Euler equations became feasible. Thanks to the rapidly increasing speed of supercomputers and due to the development of a variety of numerical acceleration techniques like multigrid, it was possible to compute inviscid flows past complete aircraft configurations or inside of turbomachines. With the mid 1980’s, the focus started to shift to the significantly more demanding simulation of viscous flows governed by the Navier-Stokes equations. Together with this, a variety of turbulence models evolved with different degree of numerical complexity and accuracy. The leading edge in turbulence modelling is represented by the Direct Numerical Simulation (DNS) and the Large Eddy Simulation (LES). However, both approaches are still far away from being usable in engineering applications.

Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences. The objective of this book is to provide a solid foundation for understanding the numerical methods employed in today's CFD and to raise awareness of modern CFD codes through hands-on experience. The book should be a useful reference work for engineers and scientists starting to work in the field of CFD or those who apply CFD codes. The accompanying CD-ROM contains the sources of 1-D and 2-D Euler solvers as well as grid generators.

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