书目名称 | Computational Fluid Dynamics |
副标题 | Finite Difference Me |
编辑 | Guoxiang Hou,Caikan Chen,Kai Wang |
视频video | |
概述 | Details the operator transformation method in difference methods which is a unique one.Introduces several newly developing methods based on the Lattice Boltzmann Method in the second part of this book |
丛书名称 | Engineering Applications of Computational Methods |
图书封面 |  |
描述 | .This book provides a concise and comprehensive introduction to several basic methods with more attention to their theoretical basis and applications in fluid dynamics. Furthermore, some new ideas are presented in this book, for example, a method to solve the transition matrix by difference operator transformation. For this method, the book gives the definition of Fourier integral transformation of translation operator, and proves the transition matrix equaling to the differential operator transformation, so that it is extended to general situations of explicit, implicit, multi-layer difference equations, etc. This flexible approach is also used in the differential part. In addition, the book also includes six types of equivalent stability definitions in two ways and deeply analyzes their errors, stabilities and convergences of the difference equations. What is more important, some new scientific contributions on lattice Boltzmann method (LBM) in recent years are presented in the book as well. The authors write the book combining their ten years teaching experience and research results and this book is intended for graduate students who are interested in the area of computational f |
出版日期 | Book 2024 |
关键词 | Computational Fluid Dynamics; Finite Difference Method; Lattice Boltzmann Method; Incompressible Flows; |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-97-0349-4 |
isbn_softcover | 978-981-97-0351-7 |
isbn_ebook | 978-981-97-0349-4Series ISSN 2662-3366 Series E-ISSN 2662-3374 |
issn_series | 2662-3366 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |