Society for Industrial and Applied Mathematics, 2007. 176 p.
Computational science and engineering ISBN 978-0-898716-27-6 (на
английском языке)
Contents
Preface
Fundamentals
Notation
Kinematics of a single particle
Kinetics of a single particle
Work, energy, and power
Properties of a potential
Impulse and momentum
Systems of particles
Linear momentum
Energy principles
Remarks on scaling
Modeling of particulate flows
Particulate flow in the presence of near-fields
Mechanical contact with near-field interaction
Kinetic energy dissipation
Incorporating friction
Limitations on friction coefficients
Velocity-dependent coefficients of restitution
Iterative solution schemes
Simple temporal discretization
An example of stability limitations
Application to particulate flows
Algorithmic implementation
Representative numerical simulations
Simulation parameters
Results and observations
Inverse problems/parameter identification
Agenetic algorithm
Arepresentative example
Extensions to swarm-like systems
Basic constructions
Amodel objective function
Numerical simulation
Discussion
Advanced particulate flow models
Introduction
Clustering and agglomeration via binding forces
Long-range instabilities and interaction truncation
Asimple model for thermochemical coupling
Stage I:An energy balance during impact
Stage II: Postcollision thermal behavior
Staggering schemes
Ageneral iterative framework
Semi-analytical examples
Numerical examples involving particulate flows
Coupled particle/fluid interaction
Amodel problem
1 Asimple characterization of particle/fluid interaction
Particle thermodynamics
Numerical discretization of the Navier?Stokes equations
Numerical discretization of the particle equations
An adaptive staggering solution scheme
Anumerical example
Discussion of the results
Summary
Simple optical scattering methods for particulate media
Introduction
Ray theory: Scope of use
Beams composed of multiple rays
Objectives
Plane harmonic electromagnetic waves
Plane waves
Electromagnetic waves
Optical energy propagation
Reflection and absorption of energy
Multiple scatterers
Parametrization of the scatterers
Results for spherical scatterers
Shape effects: Ellipsoidal geometries
Discussion
Thermal coupling
Solution procedure
Inverse problems/parameter identification
Parametrization and a genetic algorithm
Summary
Closing remarks
A Basic (continuum) fluid mechanics
A1 Deformation of line elements
A2 The Jacobian of the deformation gradient
A3 Equilibrium/kinetics of solid continua
A4 Postulates on volume and surface quantities
A5 Balance law formulations
A6 Symmetry of the stress tensor
A7 The first law of thermodynamics
A8 Basic constitutive assumptions for fluid mechanics
B Scattering
B1 Generalized Fresnel relations
B2 Biological applications: Multiple red blood cell light scattering
B2.1 Parametrization of cell configurations
B2.2 Computational algorithm
B2.3 Acomputational example
B2.4 Extensions and concluding remarks
B3 Acoustical scattering
B3.1 Basic relations
B3.2 Reflection and ray-tracing
Bibliography
Index
Contents
Preface
Fundamentals
Notation
Kinematics of a single particle
Kinetics of a single particle
Work, energy, and power
Properties of a potential
Impulse and momentum
Systems of particles
Linear momentum
Energy principles
Remarks on scaling
Modeling of particulate flows
Particulate flow in the presence of near-fields
Mechanical contact with near-field interaction
Kinetic energy dissipation
Incorporating friction
Limitations on friction coefficients
Velocity-dependent coefficients of restitution
Iterative solution schemes
Simple temporal discretization
An example of stability limitations
Application to particulate flows
Algorithmic implementation
Representative numerical simulations
Simulation parameters
Results and observations
Inverse problems/parameter identification
Agenetic algorithm
Arepresentative example
Extensions to swarm-like systems
Basic constructions
Amodel objective function
Numerical simulation
Discussion
Advanced particulate flow models
Introduction
Clustering and agglomeration via binding forces
Long-range instabilities and interaction truncation
Asimple model for thermochemical coupling
Stage I:An energy balance during impact
Stage II: Postcollision thermal behavior
Staggering schemes
Ageneral iterative framework
Semi-analytical examples
Numerical examples involving particulate flows
Coupled particle/fluid interaction
Amodel problem
1 Asimple characterization of particle/fluid interaction
Particle thermodynamics
Numerical discretization of the Navier?Stokes equations
Numerical discretization of the particle equations
An adaptive staggering solution scheme
Anumerical example
Discussion of the results
Summary
Simple optical scattering methods for particulate media
Introduction
Ray theory: Scope of use
Beams composed of multiple rays
Objectives
Plane harmonic electromagnetic waves
Plane waves
Electromagnetic waves
Optical energy propagation
Reflection and absorption of energy
Multiple scatterers
Parametrization of the scatterers
Results for spherical scatterers
Shape effects: Ellipsoidal geometries
Discussion
Thermal coupling
Solution procedure
Inverse problems/parameter identification
Parametrization and a genetic algorithm
Summary
Closing remarks
A Basic (continuum) fluid mechanics
A1 Deformation of line elements
A2 The Jacobian of the deformation gradient
A3 Equilibrium/kinetics of solid continua
A4 Postulates on volume and surface quantities
A5 Balance law formulations
A6 Symmetry of the stress tensor
A7 The first law of thermodynamics
A8 Basic constitutive assumptions for fluid mechanics
B Scattering
B1 Generalized Fresnel relations
B2 Biological applications: Multiple red blood cell light scattering
B2.1 Parametrization of cell configurations
B2.2 Computational algorithm
B2.3 Acomputational example
B2.4 Extensions and concluding remarks
B3 Acoustical scattering
B3.1 Basic relations
B3.2 Reflection and ray-tracing
Bibliography
Index