Shear flow in surface-oriented coordinate (Notes on numerical fluid mechanics)

Having worked on problems of three-dimensional boundary-layer flow for more than a decade, the authors decided to publish some of their results and ideas as a book. They believe this is worthwhile to do in spite of the availability of other books on boundary-layer theory. These books have their emphasis mainly on two-dimensional flow, on the modeling of turbulent flow, or on prediction techniques. The present book, on the other hand, is dedicated to the descrip- tion of three-dimensional shear flow past realistic configurations and to the provision of formulations for prediction methods. To this end several sets of governing equations for the treatment of high-Reynolds number viscous flows are being discussed, together with approximations of the geometry of general configurations. Thus the book, which gives a uniform representation of the for- mulation of the many problems, and not so much a review of the work done so far at different places, is aimed at the perspective in- vestigator of three-dimensional viscous-flow problems. The reader should not allow himself to e scared off'by the use of tensorial concepts and of the index notation, both not too familiar in classic fluid mechanics. The authors made the experience that the use of these concepts alleviates much the work on realistic flow problems. In the book they have emphasized the use of these concepts and not their mathematical proofs.