2007年3月11日星期日

Carlo Cercignani, Rarefied Gas Dynamics from Basic Concepts to Actual Calculations, Cambridge University Press, 2000



一本从动理论的角度介绍稀薄气体动力学的教材,作者是大牛,从书的名称就可以看出,这本书由浅入深,比较系统的介绍了动理论的基本理论,进而根据稀薄气体动力学的各种应用,本人比较感兴趣的是有关蒸发和凝结部分,想看看这部分能否使用DSMC、MD或者结合耦合算法做一点工作。

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By冯贝叶研究员(中国科学院应用数学研究所)
本书是剑桥大学出版社出版的《应用数学丛书》之一,论述有关稀薄气体动力学知识。稀薄气体是指气体中两个分子相继两次碰撞之间的平均距离,与气体所在的范围的尺度比较起来是不可忽略的,必须使用统计思想,如Boltzman方程去对它加以研究。1958年在法国尼斯举行的第1届国际稀薄气体动力学会议标志着稀薄气体动力学诞生,经过几十年的发展,其成果广泛应用于航空、航天、微型机械、真空工业等方面。

本书首先在引言中简短介绍了气体动力学发展的历史和应用,然后分8章具体论述:
第1章是Boltzman方程和气体-表面相互作用,首先介绍了研究稀薄气体动力学的基本工具Boltzman方程,然后讲述了稀薄气体动力学研究中的一些基本困难,如分子和硬球之间的区别,分子和固(液)体表面之间的相互作用需要了解有关表面结构的知识,反映在数学上,就是如何给Boltzman方程加边界条件;
第2章讨论板状容器中的气体,介绍了Bounce-Back边界条件,稀薄气体动力学的两种极端情况及平衡态的扰动;
第3章讨论半空间中的气体,介绍了变换方法和变分方法以及解线性化Boltzman方程的种种数值方法;
第4章讨论稀薄气体中波的传播现象和激波;
第5章研究相空间的维数在2维以上时的扰动方法;
第6章讨论稀薄气体-表面相互作用时要考虑的各种情况,如多原子组成的分子,混合气体,化学反应和放射性;
第7章讨论解Boltzman方程的各种数值方法;
第8章讨论蒸发和凝结现象。
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C Michaelis, Reviewer
Appl Phys Lab, Mission Concept and Anal Group, Johns Hopkins Univ, 11100 Johns Hopkins Rd, Laurel MD 20723-6099

Cercignani’s latest book delves into a broad and mostly theoretical overview of rarefied flows. The aim of the book is to present the concepts, methods, and applications of kinetic theory to rarefied gas dynamics. The book begins with a discussion of fundamentals, including the derivation of the Boltzmann model and the development of various approximations based principally on the BGK model. Following this introduction, several model problems are introduced to aid in understanding the basic concepts in what is otherwise a very complex and difficult topic. To accomplish this, the author presents several variations of the classic one-dimensional Couette flow problem which are mathematically simple enough for a theoretical treatment. Perturbation methods and numerical computations are used to further the development and to gain insight. Following a discussion of the simple one dimensional problem, the focus turns to flows with multiple dimensions. Specifically, perturbation methods are used to study the linearized, steady Boltzmann equation. The resulting models are studied in both the continuum, free molecular, and nearly free molecular flow regimes to further illustrate the concepts of rarefied gas dynamics. The author then moves on to a brief discussion of gas mixtures and polyatomic gases where internal energies and chemical reactions are important. The book excludes any discussion of ionized and radiating flows. The theoretical development in the book concludes with a detailed discussion of condensation and evaporation phenomena in rarefied flows, including a development of appropriate boundary conditions for the Boltzmann equation. Once again, a simple one-dimensional parallel plate ~Couette model is used to emphasize the basic concepts. In addition to the numerous theoretical discussions, this book includes a detailed introduction to numerical solutions of rarefied flows along with a few representative solutions. Cercignani introduces the reader to the Direct Simulation Monte Carlo method developed by GA Bird in the early 1960s. This engineering method is the most widely used for rarefied flows. Often omitted from many classic texts in the field, the discussion of numerical methods compliments well the vast theory that is otherwise the focus of the book. The author’s expertise in kinetic theory is unrivaled and certainly evident in the work. The author has written several other books on rarefied flows, including The Mathematical Theory of Dilute Gases, Mathematical Methods in Kinetic Theory, and The Boltzmann Equation and Its Applications. Stylistically speaking, the book reads well, despite the heavy emphasis on mathematics and theory. The figures and tables are generally concise and informative. One complaint is that in a few figures, the plotted variables were not well defined. However, the book falls short of its aim to emphasize methods and applications. With the exception of the chapter on numerical methods, the author primarily focuses on theoretical discussions and academic problems that are generally geared toward graduate classes in applied mathematics and physics. Practicing engineers and graduate students in related engineering fields will probably find the book to be too mathematical to be helpful. For engineering students new to the field of rarefied gas dynamics, other classic texts, such as Physical Gas Dynamics by Vincenti and Kruger, will provide a better introduction to the study of rarefied flows. However, for engineers and scientists with a moderate level of prior expertise in the field, Rarefied Gas Dynamics: From Basic Concepts to Actual Calculations, is a great comprehensive reference that is certainly worth the low cost.
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Google网上图书
http://books.google.com/books?hl=zh-CN&lr=&id=Kp-FsbwOw6kC&oi=fnd&pg=PR13&sig=Qj1BdBbMYXnraARFb1VYayWw60A&dq=%22Cercignani%22+%22Rarefied+Gas+Dynamics:+From+Basic+Concepts+to+Actual+...%22+#PPP1,M1

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