Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM

• Κύριος συγγραφέας: Franci, Alessandro (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Θέματα: Engineering.; Computer mathematics.; Continuum mechanics.; Fluid mechanics.; Continuum Mechanics and Mechanics of Materials.; Computational Science and Engineering.; Engineering Fluid Dynamics.

This book treats the derivation and implementation of a unified particle finite element formulation for the solution of fluid and solid mechanics, Fluid-Structure Interaction (FSI) and coupled thermal problems.  FSI problems are involved in many engineering branches, from aeronautics to civil and bi...

Πίνακας περιεχομένων:

• 1 Introduction
• 1.1 Objectives
• 1.2 State of the art
• 1.2.1 Eulerian and Lagrangian approaches for free surface flow analysis
• 1.2.2 Stabilization techniques
• 1.2.3 Algorithms for FSI problems
• 1.3 Numerical model
• 1.3.1 Reasons
• 1.3.2 Essential features
• 1.3.3 Outline
• 1.4 Publications
• 2 Velocity-based formulations for compressible materials
• 2.1 Velocity formulation
• 2.1.1 From the local form to the spatial semi-discretization
• 2.1.2 Time integration
• 2.1.3 Linearization
• 2.1.4 Incremental solution scheme
• 2.2 Mixed velocity-pressure formulation
• 2.2.1 Quasi-incompressible form of the continuity equation
• 2.2.2 Solution method
• 2.3 Hypoelasticity
• 2.3.1 Velocity formulation for hypoelastic solids
• 2.3.2 Mixed Velocity-Pressure formulation for hypoelastic solids
• 2.3.3 Theory of plasticity
• 2.3.3.1 Hypoelastic-plastic materials
• 2.3.4 Validation examples
• 2.4 Summary and conclusions
• 3 Unified stabilized formulation for quasi-incompressible materials
• 3.1 Stabilized FIC form of the mass balance equation
• 3.1.1 Governing equations
• 3.1.2 FIC mass balance equation in space and in time
• 3.1.3 FIC stabilized local form of the mass balance equation
• 3.1.4 Variational form
• 3.1.5 FEM discretization and matrix form
• 3.2 Solution scheme for quasi-incompressible Newtonian fluids
• 3.2.1 Governing equations
• 3.2.2 Solution scheme
• 3.3 Solution scheme for quasi-incompressible hypoelastic solids
• 3.4 Free surface flow analysis
• 3.4.1 The Partiele Finite Element Method
• 3.4.1.1 Remeshing
• 3.4.1.2 Basic steps
• 3.4.1.3 Advantages and disadvantages
• 3.4.2 Mass conservation analysis
• 3.4.2.1 Numerical examples
• 3.4.3 Analysis of the conditioning of the solution scheme
• 3.4.3.1 Drawbacks associated to the real bulk modulus
• 3.4.3.2 Optimum value for the pseudo bulk modulus
• 3.4.3.3 Numerical examples
• 3.5 Validation examples
• 3.5.1 Validation of the Unified formulation for Newtonian fluids
• 3.5.2 Validation of the Unified formulation for quasi-incompressible hypoelastic solids
• 3.6 Summary and conclusions
• 4 Unified formulation for F SI problems
• 4.1 Introduction
• 4.2 FSI algorithm
• 4.3 Coupling with the Velocity formulation for the solid
• 4.4 Coupling with the mixed Velocity-Pressure formulation for the solid
• 4.5 Numerical examples
• 4.6 Summary and conclusions
• 5 Coupled thermal-mechanical formulation
• 5.1 Introduction
• 5.2 Heat problem
• 5.2.1 FEM discretization and solution for a time step
• 5.3 Thermal coupling
• 5.3.1 Numerical examples
• 5.4 Phase change
• 5.4.1 Numerical example: melting of an ice block
• 5.5 Summary and conclusions
• 6 Industrial application: PFEM Analysis Model of NPP Severe Accident
• 6.1 Introduction
• 6.1.1 Assumptions allowed by the specification
• 6.2 Numerical method
• 6.3 Basic Model
• 6.3.1 Problem data
• 6.3.2 Preliminary study
• 6.3.3 Numerical results
• 6.4 Detailed model
• 6.4.1 Problem data
• 6.4.2 Preliminary study
• 6.4.3 Numerical results
• 6.5 Summary and conclusions
• 7 Conclusions and future lines of research
• 7.1 Contributions
• 7.2 Lines for future work.