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Smooth particle applied mechanics : the state of the art /
This book takes readers through all the steps necessary for solving hard problems in continuum mechanics with smooth particle methods. Pedagogical problems clarify the generation of initial conditions, the treatment of boundary conditions, the integration of the equations of motion, and the analysis...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific,
©2006.
|
| Colección: | Advanced series in nonlinear dynamics ;
v. 25. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Dedication and Motivation; Preface; Contents; 1. Physical Ideas Underlying SPAM; 1.1 Motivation and Summary; 1.2 Particles versus Continua; 1.3 Newton's Particle Mechanics; 1.4 Eulerian and Lagrangian Continuum Mechanics; 1.5 Computer Simulation of Microscopic Particle Motion; 1.6 Liouville's Theorem; Statistical Mechanics; 1.7 Simulating Continua with Particles; 1.8 SPAM [Smooth Particle Applied Mechanics]; 1.9 Example: A Molecular Dynamics Simulation; 1.10 References; 2. Continuum Mechanics; 2.1 Summary and Scope of Continuum Mechanics; 2.2 Evolution Equations for Fluids and Solids.
- 2.3 Initial and Boundary Conditions2.4 Constitutive Equations for Equilibrium Fluids; 2.5 Constitutive Relations for Nonequilibrium Fluids; 2.6 Artificial Viscosity and Conductivity; 2.7 Constitutive Relations for Elastic Solids; 2.8 Constitutive Relation for Nonequilibrium Plasticity; 2.9 Plasticity Algorithm; 2.10 Example: Heat Conduction in One Dimension; 2.11 Example: Sound Propagation in One Dimension; 2.12 Example: Rayleigh-Benard Flow in Two Dimensions; 2.13 References; 3. Smooth Particle Methods; 3.1 Summary; 3.2 Motivation; 3.3 Basic Equations; 3.4 Interpolation on an Irregular Grid.
- 3.5 Alternative Averages: [f0 f1 f2 ...]3.6 Weight Functions; 3.7 Continuity Equation from V.v with SPAM; 3.8 Evaluating the Spatial Derivatives {Vp V.P V.Q}; 3.9 SPAM Equation of Motion and Energy Equation; 3.10 Rezoning; Does Particle Size Matter?; 3.11 Ideal-Gas Isomorphism with SPAM; 3.12 Evaluating the Spatial Derivatives {Vv VT}; 3.13 von Neumann-Richtmyer Artificial SPAM Viscosity; 3.14 Example: Adiabatic Atmospheric Equilibrium; 3.15 Example: Isothermal Atmospheric Equilibrium; 3.16 References; 4. Computer Programming; 4.1 Summary; 4.2 FORmula TRANslation languages.
- 4.3 Designing a SPAM program4.4 Runge-Kutta Integration with Fortran and C; 4.5 A Useful Random Number Generator; 4.6 Graphic Displays and Analysis; 4.7 ""Debugging"" Tools
- Finding Errors; 4.8 Parallel Computing; 4.9 Mesh Partitioning; 4.10 Message Passing Techniques; 4.11 Material Interfaces in Parallel Computing; 4.11.1 Concentric Annuli Undergoing Rotation; 4.11.2 Free Expansion Problem; 4.11.3 Crushing of an Elastic-Plastic Sheet; 4.11.4 Caricature of a Billiard Table; 4.12 References; 5. Initial and Boundary Conditions Interpolation; 5.1 Summary; 5.2 Initial Coordinates.
- 5.3 Mesh Generation for SPAM with Free Boundaries5.4 Implementing Periodic and Mirror Boundaries; 5.5 Alternative Meshes
- Regular Lattices; 5.6 Elastic Stability of Embedded-Atom Lattices; 5.7 Invariant Curvature Crystal Stabilization; 5.8 Example: Heat Transfer in One Dimension with SPAM; 5.9 Example: Periodic Shear Flow with SPAM; 5.10 Example: Rayleigh-Benard Flow with SPAM; 5.11 References; 6. Convergence and Stability; 6.1 Summary; 6.2 Existence and Uniqueness in Continuum Mechanics; 6.3 Accuracy and Precision in Numerical Solutions; 6.4 Convergence of Numerical Methods.