Adaptive Finite Difference Methods in Fluid Dynamics (Classic Reprint) - Softcover

M. J. Berger

 
9781332096596: Adaptive Finite Difference Methods in Fluid Dynamics (Classic Reprint)

Synopsis

This book embarks on a comprehensive study of adaptive finite difference methods in fluid dynamics. The author presents a survey of numerical methods for solving partial differential equations related to fluid mechanics and offers insights into the techniques used to automatically refine computational cells to achieve greater accuracy and efficiency. The book is grounded in the understanding that adaptive methods can significantly enhance the accuracy of flow problem solutions. The author delves into specific methods, including Moving Finite Element, Embedded Grid, and variational approaches, providing a nuanced exploration of their strengths, limitations, and applications. The analysis of interface conditions and the discussion of conservation, stability, and error estimation further enrich the reader's understanding of adaptive mesh refinement algorithms. Through its systematic examination of adaptive finite difference methods, this book offers valuable knowledge for researchers and practitioners in the field of computational fluid dynamics.

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