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Titlebook: Computational Fluid Dynamics; Finite Difference Me Guoxiang Hou,Caikan Chen,Kai Wang Book 2024 The Editor(s) (if applicable) and The Author

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發(fā)表于 2025-3-21 16:56:11 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Computational Fluid Dynamics
副標(biāo)題Finite Difference Me
編輯Guoxiang Hou,Caikan Chen,Kai Wang
視頻videohttp://file.papertrans.cn/233/232291/232291.mp4
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
叢書名稱Engineering Applications of Computational Methods
圖書封面Titlebook: Computational Fluid Dynamics; Finite Difference Me Guoxiang Hou,Caikan Chen,Kai Wang Book 2024 The Editor(s) (if applicable) and The Author
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
關(guān)鍵詞Computational Fluid Dynamics; Finite Difference Method; Lattice Boltzmann Method; Incompressible Flows;
版次1
doihttps://doi.org/10.1007/978-981-97-0349-4
isbn_softcover978-981-97-0351-7
isbn_ebook978-981-97-0349-4Series ISSN 2662-3366 Series E-ISSN 2662-3374
issn_series 2662-3366
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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發(fā)表于 2025-3-21 23:02:44 | 只看該作者
Therapie: Methoden und Konzeption,thods for constructing difference schemes are introduced, including Taylor series expansion, method of polynomial interpolation, being-determined coefficient method, integral methods, method?of?characteristics, and control volume method. We provide an example of a one-dimensional advection equation
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Therapie: Methoden und Konzeption,he variable coefficients in linear partial differential equations, if the coefficients of the equation are smooth functions, similar methods to the constant coefficient case can be used to construct difference schemes. The stability and convergence can be analyzed using the frozen coefficient method
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