Excerpt from Progress Report on the Mach Reflection Calculation
If X, Y are cartesian coordinates in the plane of Figure 1, with the origin at the tip of the wedge, and t is time measured from the instant at which the primary shock touches this tip, the flow pattern is stationary in similarity variables X/t, Y/t, (until the reflected shock strikes the upper wall of the shock tube). It is therefore assumed that the initial - value problem of this flow, when expressed in these variables, has the property that with almost any initial data the solution approaches the desired one as t w. Physical considerations suggest that if the initial flow pattern is not too far from the correct one this approach will be fairly rapid.
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Paperback. Condition: New. Print on Demand. This book presents an exploration into the development of mathematical methods for fluid dynamics calculations, with a primary focus on the Mach reflection calculation. The author emphasizes the need for accurate and efficient numerical methods to capture the complex interactions and phenomena observed in fluid dynamics, particularly in scenarios involving curved shocks, slip surfaces, and rigid boundaries. The book discusses the challenges associated with treating these elements and proposes a novel approach that leverages both analytical and numerical techniques to achieve a comprehensive solution. The author's innovative fitting procedures, which combine Eulerian and Lagrangian formulations, are a significant contribution to the field and offer a promising avenue for advancing fluid dynamics simulations. Overall, this book provides valuable insights and practical tools for researchers and practitioners seeking to develop robust and accurate computational methods for fluid dynamics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781334016875_0
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