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