Finite Element Methods for Computational Fluid Dynamics: A Practical Guide
Finite Element Methods for Computational Fluid Dynamics: A Practical Guide
复制标题
计算流体动力学的有限元方法：实用指南
DOI：
10.1137/1.9781611973617
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发表时间：
2014
影响因子：
3.2
通讯作者：
Jari Hmlinen
中科院分区：
文献类型：
--
作者：
D. Kuzmin;Jari Hmlinen
这个非正式的介绍计算流体动力学和实用指南的数值模拟的运输现象，包括推导的控制方程，有限元近似的建设，和定性性质的数值解，以及其他主题。为了使这本书容易接近读者与不同的兴趣和背景，作者开始在一个基本的水平，并推进到数值工具，为日益困难的流动问题，强调实际实施，而不是数学理论。计算流体动力学的有限元方法：实用指南在简单模型问题的背景下解释了有限元方法（FEM）的基础知识，并通过数值示例进行了说明。它全面回顾对流为主的传输问题的稳定技术，向读者介绍流线扩散方法，彼得罗夫-伽辽金近似，泰勒-伽辽金方案，通量校正传输算法和其他非线性高分辨率方案，并涵盖彼得罗夫-伽辽金稳定，经典投影方案，舒尔补充求解器，以及k-ε湍流模型在不可压流动问题有限元表示中的应用。本书还介绍了开源有限元库ELMER，推荐作为在线组件中高级应用程序的软件开发工具包。读者：本书的目标读者是计算机工程专业的高年级本科生和研究生。它也可能是有用的物理学家，计算科学家和数值模拟软件的开发人员。
This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory. Finite Element Methods for Computational Fluid Dynamics: A Practical Guide explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples. It comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov-Galerkin approximations, Taylor-Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes, and covers Petrov-Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problem. The book also describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component. Audience: The text is aimed at advanced undergraduate and graduate students in computational engineering. It may also be useful to physicists, computational scientists, and developers of numerical simulation software.