Multiphysics Modeling with Finite Element Methods
eBook - PDF

Multiphysics Modeling with Finite Element Methods

  1. 432 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Multiphysics Modeling with Finite Element Methods

About this book

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.

More information about COMSOL can be found here.

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Yes, you can access Multiphysics Modeling with Finite Element Methods by William B J Zimmerman in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Chemical & Biochemical Engineering. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. CONTENTS
  2. About the Author
  3. Foreword
  4. Introduction to COMSOL Multiphysics
  5. Chapter One COMSOL Multiphysics and the Basics of Numerical Analysis
  6. Chapter Two Analyzing Evolution Equations by the Finite Element Method
  7. Chapter Three Multiphysics
  8. Chapter Four Extended Multiphysics
  9. Chapter Five Nonlinear Dynamics and Linear System Analysis
  10. Chapter Six Changing Geometry: Continuation and Moving Boundaries
  11. Chapter Seven Coupling Variables Revisited: Inverse Problems Line Integrals Integral Equations and Integro-Differential Equat
  12. Chapter Eight Modeling of Multi-Phase Flow Using the Level Set Method
  13. Chapter Nine Modelling of Free Surface Flow Problems with Phase Change — Three Phase Flow
  14. Chapter Ten Newtonian Flow in Grooved Microchannels
  15. Chapter Eleven Electrokinetic Flow
  16. Chapter Twelve Plasma Simulations via the Fokker-Planck Equation
  17. Chapter Thirteen Crevice Corrosion of Steel Under a Disbonded Coating
  18. Chapter Fourteen Numerical Simulation of a Magnetohydrodynamic DC Microdevice
  19. Appendix Vector Calculus Fundamentals in COMSOL Multiphysics with Matlab
  20. Index