Particle Modeling

by Donald Greenspan

Overview

A reference for the field of particle modelling - the study of dynamical behaviour of solids and fluids in response to external forces, with the solids and fluids modelled as systems of atoms and molecules.

Product Details

ISBN-13:	9780817639853
Publisher:	Birkhäuser Boston
Publication date:	09/23/1997
Series:	Modeling and Simulation in Science, Engineering and Technology
Edition description:	1997
Pages:	274
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

I. Mathematical, Physical and Numerical Considerations.- 1. Particle Modeling: What It Is and What It Is Not.- 2. Numerical Methodology.- II. Qualitative Newtonian Modeling.- 3. Elastic Strings and Solitons.- 4. Elastic Snap Through.- 5. Minimal Surfaces.- 6. Biological Self Reorganization.- 7. Cavity Flow.- 8. Turbulent and Nonturbulent Vortices.- 9. Liquid Drop Formation, Fall, and Collision.- 10. Conservative Motion of Tops and Gyroscopes.- III. Quantitative Modeling.- 11. Stress Wave Propagation in Slender Bars.- 12. Colliding Microdrops of Water.- 13. Crack Development in a Stressed Copper Plate.- 14. Liquid Drop Formation on a Solid Surface.- 15. Fluid Bubbles and Jiggling Gels.- 16. Melting Points.- 17. Special Relativistic Motion.- 18. A Speculative Model of the Diatomic Molecular Bond.- References and Sources for Further Reading.- Appendices — FORTRAN Programs and Related Formulas.- A1. Stress. For.- A2. Drop. For.- A3. Morse. For.- A4. Ghexa. For.- A5. Newtonian Iteration Formulas.

Editorial Reviews

Heeding the "garbage in, garbage out" truism in the new area of particle computer modeling and simulation<-->the study of the dynamic behavior of solids and fluids in response to external forces, Greenspan (U. of Texas, Arlington) concentrates on ensuring the validity of the inputs: i.e. the approximate solving of initial value problems for systems of ordinary differential equations. The tripartite analysis consists of: mathematical, physical, and numerical considerations; qualitative (dare we say intuitive?) Newtonian modeling; and quantitative modeling (including an application of Special Relativity). Appendices provide FORTRAN programs and related formulas. Annotation c. by Book News, Inc., Portland, Or.

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