Relatively recent increase in computing power available for mathematical modeling and simulation raises the possibility that modern numerical methods can play an important role in the analysis of complex particulate flows. This introductory monograph focuses on basic models and physically based computing solutions strategy for direct and rapid simulation of flowing particulate media. Audiences Introduction to Modeling and Simulation of Particulate Flows written for computational scientists, numerical analysts, and applied mathematician and will appeal to civil and mechanical engineers and material scientists. Contents List of Figures, Preface, Chapter 1: Fundamentals, Chapter 2: Modelling particulate flows; Chapter 3: Designing the solution scheme, Chapter 4: Representative numerical simulations; Chapter 5: Inverse problems / identification parameters; Chapter 6: Extensions to herd-like system , Chapter 7: Advanced particulate flow model; Chapter 8: Coupled particle / fluid interaction; Chapter 9: Simple method of optical scattering in particulate media; Chapter 10: Closing; Appendix A.