Smooth particle applied mechanics : the state of the art / William Graham Hoover.

Format:

Book

Author/Creator:

Hoover, William G. (William Graham), 1936-

Series:

Advanced series in nonlinear dynamics ; v. 25.

Advanced series in nonlinear dynamics ; v. 25

Language:

English

Subjects (All):

Mechanics, Analytic.

Mechanics, Applied--Mathematical models.

Mechanics, Applied.

Particle methods (Numerical analysis).

Physical Description:

1 online resource (315 p.)

Edition:

1st ed.

Place of Publication:

Singapore : World Scientific, c2006.

Language Note:

English

Summary:

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

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611924492

9781281924490

1281924490

9789812772886

981277288X

OCLC:

879074155