1.

Record Nr.

UNINA9910451553503321

Autore

Hoover William G (William Graham), <1936->

Titolo

Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover

Pubbl/distr/stampa

Singapore, : World Scientific, c2006

ISBN

1-281-92449-0

9786611924492

981-277-288-X

Descrizione fisica

1 online resource (315 p.)

Collana

Advanced series in nonlinear dynamics ; ; v. 25

Disciplina

531

Soggetti

Mechanics, Analytic

Mechanics, Applied - Mathematical models

Particle methods (Numerical analysis)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Contents               ; Dedication and Motivation                                ; Preface              ; 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 Conditions                                          ; 2.4 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

Sommario/riassunto

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 of the results. Particular attention is paid to the parallel computing necessary for large problems and to the graphic displays, including debugging software, required for the efficient completion of computational projects.  The book is self-contained, with summaries of classical particle mechanic