## An introduction to modeling and simulation of particulate flowsThe relatively recent increase in computational power available for mathematical modeling and simulation raises the possibility that modern numerical methods can play a significant role in the analysis of complex particulate flows. This introductory monograph focuses on basic models and physically based computational solution strategies for the direct and rapid simulation of flowing particulate media. Its emphasis is primarily on fluidized dry particulate flows in which there is no significant interstitial fluid, although fully coupled fluid-particle systems are discussed as well. An introduction to basic computational methods for ascertaining optical responses of particulate systems also is included.The successful analysis of a wide range of applications requires the simulation of flowing particulate media that simultaneously involves near-field interaction and contact between particles in a thermally sensitive environment. These systems naturally occur in astrophysics and geophysics; powder processing pharmaceutical industries; bio-, micro- and nanotechnologies; and applications arising from the study of spray processes involving aerosols, sputtering, and epitaxy.Audience An Introduction to Modeling and Simulation of Particulate Flows is written for computational scientists, numerical analysts, and applied mathematicians and will be of interest to civil and mechanical engineers and materials scientists. It is also suitable for first-year graduate students in the applied sciences, engineering, and applied mathematics who have an interest in the computational analysis of complex particulate flows. |

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### Contents

Fundamentals | 1 |

Modeling of particulate ﬂows ll | 12 |

Iterative solution schemes | 21 |

Copyright | |

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analysis approach assumed average beam behavior best parameter set cells clustering forces coefﬁcient of restitution components consider contraction mapping convergence cos9 coupled deﬁned deﬁnition discretization dynamics electromagnetic error evolution strategies example Farhat ﬁeld Figure ﬁnite difference ﬁxed ﬁxed-point iterations ﬂuid Gauss-Seidel method genetic algorithm genetic strings geometrical optics goveming granular heat identical particles impact impact event incident indicates a temperature initial irradiance Jacobi method Kaazempur-Mofrad kinetic energy Kuypers 223 mechanical momentum motion multiﬁeld Navier-Stokes equations near-ﬁeld forces near-ﬁeld interaction Newton’s obstacle optical overall particulate ﬂow particulate media plane planetesimals position vector propagation random ratio ray-tracing RBCs reﬂected refractive refractive indices relative Remark repulsion scattering signiﬁcant solution speciﬁc staggering scheme starting conﬁgurations step sufﬁcient surface swarm members target temperature of approximately thermal Top to bottom typical unit mass velocity volume fraction wave wavelengths Zohdi Zohdi 2l7 Zohdi and Kuypers