Multiphysics Modeling: Numerical Methods and Engineering Applications

1st Edition

Tsinghua University Press Computational Mechanics Series

Editors: Qun Zhang Song Cen
Hardcover ISBN: 9780124077096
eBook ISBN: 9780124077379
Imprint: Academic Press
Published Date: 18th December 2015
Page Count: 440
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Multiphysics Modeling: Numerical Methods and Engineering Applications: Tsinghua University Press Computational Mechanics Series describes the basic principles and methods for multiphysics modeling, covering related areas of physics such as structure mechanics, fluid dynamics, heat transfer, electromagnetic field, and noise.

The book provides the latest information on basic numerical methods, also considering coupled problems spanning fluid-solid interaction, thermal-stress coupling, fluid-solid-thermal coupling, electromagnetic solid thermal fluid coupling, and structure-noise coupling.

Users will find a comprehensive book that covers background theory, algorithms, key technologies, and applications for each coupling method.

Key Features

  • Presents a wealth of multiphysics modeling methods, issues, and worked examples in a single volume
  • Provides a go-to resource for coupling and multiphysics problems
  • Covers the multiphysics details not touched upon in broader numerical methods references, including load transfer between physics, element level strong coupling, and interface strong coupling, amongst others
  • Discusses practical applications throughout and tackles real-life multiphysics problems across areas such as automotive, aerospace, and biomedical engineering


Engineers and researchers facing multiphysics problems as part of the design, modeling and analysis of complex engineering systems.

Table of Contents

  • Preface
  • Acknowledgments
  • 1: The physics models

    • Abstract
    • 1.1. Heat flow fundamentals
    • 1.2. Fluid dynamics
    • 1.3. Structural mechanics
    • 1.4. Electromagnetic field
    • 1.5. Acoustic analysis
  • 2: Physics coupling phenomena and formulations

    • Abstract
    • 2.1. Introduction to coupling problems
    • 2.2. General coupling equations
    • 2.3. Types of coupling interfaces
    • 2.4. Classification of coupling phenomena
    • 2.5. The coupling matrices among physics models
    • 2.6. Thermal–stress coupling
    • 2.7. Fluid–structure interaction
    • 2.8. Conjugate heat transfer problem
    • 2.9. Acoustic–structure coupling
    • 2.10. Piezoelectric analysis
    • 2.11. Electrostatic–structure coupling
    • 2.12. Magneto–structure coupling
    • 2.13. Magneto–fluid coupling
    • 2.14. Electrothermal coupling
    • 2.15. Magnetic–thermal coupling
    • 2.16. Summary of the coupling types
  • 3: The coupling methods

    • Abstract
    • 3.1. Introduction to coupling methods
    • 3.2. The strong coupling method
    • 3.3. Weak coupling methods
    • 3.4. Comparisons of the strong and weak coupling methods
    • 3.5. Time integration scheme for transient multiphysics problems
  • 4: Nonstructural physics with moving boundary

    • Abstract
    • 4.1. The moving domain problem in multiphysics simulation
    • 4.2. Advanced morphing method
    • 4.3. Automatic remeshing technology
    • 4.4. Mesh controls for rotating machinery
    • 4.5. Treatment for pinched flow problems
    • 4.6. Examples for mesh control


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About the Editor

Qun Zhang

Dr. Qun Zhang has more than 15 years’ experience in multiphysics research, code development and engineering applications, including a PhD in the field of fluid-structure interaction. Formerly a senior development engineer at ANSYS Inc specializing in multiphysics products, he founded a company in 2009 to develop the multiphysics simulation software INTESIM.

Affiliations and Expertise

INTESIM (Dalian) Co., Ltd. Dalian , China

Song Cen

Professor Song Cen works in the Department of Engineering Mechanics in the School of Aerospace Engineering at Tsinghua University. He is also the Deputy Secretary-General of the Beijing Society of Mechanics and an Executive Council Member of the International Chinese Association for Computational Mechanics. He has authored multiple books and numerous highly-cited papers in the area, and has won prestigious prizes for his work, including the ICACM Young Investigator Award (awarded by International Chinese Association for Computational Mechanics, 2011).

Affiliations and Expertise

Department of Engineering Mechanics, School of Aerospace Engineering, Tsinghua University, Beijing, China