Multiphysics Modeling With Finite Element Methods (Hardcover)

William B. J. Zimmerman

  • 出版商: World Scientific Pub
  • 出版日期: 2006-10-26
  • 售價: $1,400
  • 貴賓價: 9.8$1,372
  • 語言: 英文
  • 頁數: 432
  • 裝訂: Hardcover
  • ISBN: 9812568433
  • ISBN-13: 9789812568434
  • 相關分類: 物理學 Physics
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商品描述

Description

Finite element methods for approximating partial differential equations that arise in science and engineering analysis find widespread application. Numerical analysis tools make the solutions of coupled physics, mechanics, chemistry, and even biology accessible to the novice modeler. Nevertheless, modelers must be aware of the limitations and difficulties in developing numerical models that faithfully represent the system they are modeling.

This textbook introduces the intellectual framework for modeling with Comsol Multiphysics, a package which has unique features in representing multiply linked domains with complex geometry, highly coupled and nonlinear equation systems, and arbitrarily complicated boundary, auxiliary, and initial conditions. But with this modeling power comes great opportunities and great perils.

Progressively, in the first part of the book the novice modeler develops an understanding of how to build up complicated models piecemeal and test them modularly. The second part of the book introduces advanced analysis techniques. The final part of the book deals with case studies in a broad range of application areas including nonlinear pattern formation, thin film dynamics and heterogeneous catalysis, composite and effective media for heat, mass, conductivity, and dispersion, population balances, tomography, multiphase flow, electrokinetic, microfluidic networks, plasma dynamics, and corrosion chemistry.

As a revision of Process Modeling and Simulation with Finite Element Methods, this book uses the very latest features of Comsol Multiphysics. There are new case studies on multiphase flow with phase change, plasma dynamics, electromagnetohydrodynamics, microfluidic mixing, and corrosion. In addition, major improvements to the level set method for multiphase flow to ensure phase conservation is introduced.

Table of Contents

  • Introduction to COMSOL Multiphysics
  • COMSOL Multiphysics and the Basics of Numerical Analysis
  • Analyzing Evolution Equations by the Finite Element Method
  • Multiphysics
  • Extended Multiphysics
  • Nonlinear Dynamics and Linear System Analysis
  • Changing Geometry: Continuation and Moving Boundaries
  • Coupling Variables Revisited: Inverse Problems, Line Integrals, Integral Equations, and Integro-Differential Equations
  • Modeling of Multi-Phase Flow Using the Level Set Method
  • Modeling of Free Surface Flow Problems with Phase Change ?Three Phase Flows
  • Newtonian Flow in Grooved Microchannels
  • Electrokinetic Flow
  • Plasma Simulations via the FokkerPlanck Equation
  • Crevice Corrosion of Steel Under a Disbonded Coating
  • Numerical Simulation of a Magnetohydrodynamic DC Microdevice
  • Vector Calculus Fundamentals in COMSOL Multiphysics with MATLAB


 

商品描述(中文翻譯)

描述

有限元素方法用於近似科學和工程分析中出現的偏微分方程,廣泛應用。數值分析工具使耦合的物理、力學、化學甚至生物學的解決方案對於新手建模者來說變得可行。然而,建模者必須意識到在開發能夠忠實地代表他們正在建模的系統的數值模型時的限制和困難。

本教科書介紹了使用Comsol Multiphysics進行建模的智力框架,該軟體具有在表示具有複雜幾何形狀的多個連接域、高度耦合和非線性方程系統以及任意複雜邊界、輔助和初始條件方面的獨特功能。但是,這種建模能力帶來了巨大的機會和巨大的危險。

在書的第一部分,新手建模者逐步了解如何逐步構建複雜的模型並進行模塊化測試。書的第二部分介紹了高級分析技術。書的最後一部分涉及廣泛的應用領域的案例研究,包括非線性模式形成、薄膜動力學和異質催化、用於熱量、質量、導電性和分散性的複合材料和有效媒介、人口平衡、斷層掃描、多相流、電動力學、微流體網絡、等離子體動力學和腐蝕化學。

作為《使用有限元素方法進行過程建模和模擬》的修訂版,本書使用了Comsol Multiphysics的最新功能。新增了多相流與相變、等離子體動力學、電磁流體力學、微流體混合和腐蝕等案例研究。此外,還引入了用於多相流的水平集方法的重大改進,以確保相變的保存。

目錄

- COMSOL Multiphysics簡介
- COMSOL Multiphysics和數值分析基礎
- 用有限元素方法分析演化方程
- 多物理場
- 擴展多物理場
- 非線性動力學和線性系統分析
- 改變幾何形狀:連續和移動邊界
- 重新討論耦合變量:反問題、線積分、積分方程和積分微分方程
- 使用水平集方法建模多相流
- 使用相變建模自由表面流問題-三相流
- 沟槽微通道中的牛頓流動
- 電動力學流動
- 通過Fokker-Planck方程模擬等離子體
- 脫離塗層下的鋼材缝隙腐蝕
- 磁流體力學直流微設備的數值模擬
- COMSOL Multiphysics中的向量微積分基礎與MATLAB