IMMERSED METHODS FOR COUPLED CONTINUA

This compendium provides a broad introduction of original immersed boundary methods and current extension in computational mechanics communities. It highlights a comprehensive review of immersed methods in the context of computational fluid and solid mechanics.

More importantly, a complete set of working Fortran 90 codes named as IFEM–ICM for two-dimensional immersed continuum method with mixed finite element formulations for both fluid and solid domains and implicit matrix-free Newton–Krylov iterative solution procedures are provided on a website as stipulated in the preface.

This invaluable title will provide useful reference materials and an interesting read for academics, researchers, professionals and students.

Contents:

• Preface
• About the Authors
• List of Figures
• List of Tables
• Essential Mathematics:
  • Fundamentals and Notations
  • Kinematics and Conservation Laws
  • Some Mathematical Tools
• Immersed Boundary Methods:
  • History and State-of-the-Art
  • Key IB Concepts
  • Extended IB Method
• Immersed Finite Element Methods:
  • Inception and Developments
  • Kinematics and Formulations
  • Governing Equations and Discretizations
  • Algorithms and Validations
• Coupled Continua:
  • Immersed Continua
  • Compact Schemes
  • Verifications and Validations
• Immersed Beams and Shells:
  • Codimension Two Structures
  • Codimension One Structures
• Special Applications:
  • Heat and Mass Transfer
  • Valves and Vocal Folds
  • Microcirculation and Red Blood Cells
  • Model Reduction and Noise
• Bibliography
• Index