by William Graham Hoover (University of California & Great Basin College, USA)

Table of Contents (158k)
Preface (145k)
Chapter 1: Physical Ideas Underlying SPAM (1,987k)

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 mechanics and continuum mechanics for both fluids and solids, computer languages, the stability of numerical methods, Lyapunov spectra, and message-passing parallel computing. The main difficulties faced by meshless particle methods are discussed and the means of overcoming them are illustrated with worked examples.

• Physical Ideas Underlying SPAM
• Continuum Mechanics
• Smooth Particle Methods
• Computer Programing
• Initial and Boundary Conditions, Interpolation
• Convergence and Stability
• Lucy and Embedded-Atom Fluids
• SPAM: Limitations and Difficulties
• SPAM: Sample Applications to Solids
• Summary, Literature, and Outlook