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Author: Cristian Marchioli Publisher: Springer ISBN: 3319512269 Category : Technology & Engineering Languages : en Pages : 128
Book Description
The book surveys the state-of-the-art methods that are currently available to model and simulate the presence of rigid particles in a fluid flow. For particles that are very small relative to the characteristic flow scales and move without interaction with other particles, effective equations of motion for particle tracking are formulated and applied (e.g. in gas-solid flows). For larger particles, for particles in liquid-solid flows and for particles that interact with each other or possibly modify the overall flow detailed model are presented. Special attention is given to the description of the approximate force coupling method (FCM) as a more general treatment for small particles, and derivations in the context of low Reynolds numbers for the particle motion as well as application at finite Reynolds numbers are provided. Other topics discussed in the book are the relation to higher resolution immersed boundary methods, possible extensions to non-spherical particles and examples of applications of such methods to dispersed multiphase flows.
Author: Cristian Marchioli Publisher: Springer ISBN: 3319512269 Category : Technology & Engineering Languages : en Pages : 128
Book Description
The book surveys the state-of-the-art methods that are currently available to model and simulate the presence of rigid particles in a fluid flow. For particles that are very small relative to the characteristic flow scales and move without interaction with other particles, effective equations of motion for particle tracking are formulated and applied (e.g. in gas-solid flows). For larger particles, for particles in liquid-solid flows and for particles that interact with each other or possibly modify the overall flow detailed model are presented. Special attention is given to the description of the approximate force coupling method (FCM) as a more general treatment for small particles, and derivations in the context of low Reynolds numbers for the particle motion as well as application at finite Reynolds numbers are provided. Other topics discussed in the book are the relation to higher resolution immersed boundary methods, possible extensions to non-spherical particles and examples of applications of such methods to dispersed multiphase flows.
Author: Frank Schweitzer Publisher: Springer ISBN: 3540738452 Category : Computers Languages : en Pages : 421
Book Description
This book lays out a vision for a coherent framework for understanding complex systems. By developing the genuine idea of Brownian agents, the author combines concepts from informatics, such as multiagent systems, with approaches of statistical many-particle physics. It demonstrates that Brownian agent models can be successfully applied in many different contexts, ranging from physicochemical pattern formation to swarming in biological systems.
Author: Adrian Muntean Publisher: Springer Science & Business Media ISBN: 3709117852 Category : Science Languages : en Pages : 177
Book Description
Multiscale models in social applications combine mean-field and kinetic equations with either microscopic or macroscopic level descriptions. In this book the reader will find not only a wide spectrum of multiscale analysis results (like convergence proofs), but also practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior, to quantitative estimate microscopic/macroscopic segregation of competing species, to quantitative understand the limits of validity of mass-action kinetics for simple reactions.
Author: Pawel Romanczuk Publisher: Logos Verlag Berlin GmbH ISBN: 383252990X Category : Science Languages : en Pages : 160
Book Description
Recently, there has been an increasing focus on various biological and physical systems known as "active matter". Examples of such systems range from individual units, such as motile cells or artificial self-propelled particles, to large systems of interacting active particles or individuals. The emergence of large-scale collective motion, as exhibited by flocks of birds or bacterial colonies, is just one prominent and fascinating example of self-organization in active matter systems. In this work, we discuss different individual-based models of active matter using the concept of active Brownian motion. The first part of this work explores the dynamical behavior of single active particles with a particular emphasis on the impact of so-called active fluctuations. The second part extends the scope of this study to interacting active Brownian particles and their collective behavior. First, a systematic derivation of kinetic equations for active Brownian particles with velocity alignment is presented. Further on, motivated by recent biological observations, a new type of "escape-pursuit" model of collective motion is introduced and successfully employed in modeling collective locust behavior.
Author: Sergiy Antonyuk Publisher: Springer ISBN: 3030158993 Category : Technology & Engineering Languages : en Pages : 662
Book Description
This book contains the latest scientific findings in the area of granular materials, their physical fundamentals and applications in particle technology focused on the description of interactions of fine adhesive particles.In collaboration between physicists, chemists, mathematicians and mechanics and process engineers from 24 universities, new theories and methods for multiscale modeling and reliable measurement of particles are developed, with a focus on:• Basic physical-chemical processes in the contact zone: particle-particle and particle-wall contacts,• Particle collisions and their dynamics• Constitutive material laws for particle systems on the macro level.
Author: Roman Shvydkoy Publisher: Springer Nature ISBN: 3030681475 Category : Mathematics Languages : en Pages : 208
Book Description
This book introduces a class of alignment models based on the so-called Cucker-Smale system as well as its kinetic and hydrodynamic counterparts. Cutting edge research in the area of collective behavior is presented, including emerging techniques from fluid mechanics, fractional analysis, and kinetic theory. Analytical aspects are highlighted throughout, such as regularity theory and long time behavior of solutions. Featuring open problems, readers will be motivated to apply these breakthrough methods to future research. The chapters offer an overview of state of the art research with introductions to core concepts. Chapter One introduces the central focus of the book: The agent-based Cucker-Smale system. Further agent-based systems and alignment systems are covered in chapters Two and Three. Following this are chapters covering the kinetic and hydrodynamic variants of the Cucker-Smale system. The core well-posedness theory of both smooth and singular models is then presented. Chapter Eight discusses the fully developed one-dimensional theory. The final chapter presents some of the known partial results concerning the regularity of multidimensional Euler Alignment systems. Dynamics and Analysis of Alignment Models of Collective Behavior is ideal for graduate students and researchers studying PDEs, especially those interested in the active areas of collective behavior and alignment models.
Author: Daiki Nishiguchi Publisher: Springer Nature ISBN: 9813299983 Category : Science Languages : en Pages : 137
Book Description
This thesis focuses on experimental studies on collective motion using swimming bacteria as model active-matter systems. It offers comprehensive reviews of state-of-the-art theories and experiments on collective motion from the viewpoint of nonequilibrium statistical physics. The author presents his experimental studies on two major classes of collective motion that had been well studied theoretically. Firstly, swimming filamentous bacteria in a thin fluid layer are shown to exhibit true, long-range orientational order and anomalously strong giant density fluctuations, which are considered universal and landmark signatures of collective motion by many numerical and theoretical works but have never been observed in real systems. Secondly, chaotic bacterial turbulence in a three-dimensional dense suspension without any long-range order as described in the first half is demonstrated to be capable of achieving antiferromagnetic vortex order by imposing a small number of constraints with appropriate periodicity. The experimental results presented significantly advance our fundamental understanding of order and fluctuations in collective motion of motile elements and their future applications.
Author: Günter Radons Publisher: Springer Science & Business Media ISBN: 9783540213833 Category : Science Languages : en Pages : 402
Book Description
Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.
Author: Giovanni Naldi Publisher: Springer Science & Business Media ISBN: 0817649468 Category : Mathematics Languages : en Pages : 437
Book Description
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
Author: Jeffery S. Marshall Publisher: Cambridge University Press ISBN: 1107032075 Category : Mathematics Languages : en Pages : 361
Book Description
"A particulate flow is one in which a moving fluid interacts with a large number of discrete solid particles. The category is extraordinarily broad, encompassing everything from suspended dust carried by atmospheric winds to avalanches of debris or snow rolling down a hillside. Widely varying industrial, biological and environmental processes can be interpreted as particulate flows, encompassing areas of study such as sediment transport by stream and coastal flows, aerosol dynamics, colloidal suspensions, fluidized bed reactors, granular flows, slurries, nanoparticle dispersions, etc. There are also many situations where a suspension of biological cells can be interpreted as a particulate fluid, which extends the notion of particulate flow to problems such as blood flow and algal suspensions. Finally, there are many aspects of the methods used to analyze and model particulate flows that can be either directly applied or applied with small modifications to other types of multiphase flows, including droplet dispersions and bubbly flows, assuming that the deformation of the droplets and bubbles is minimal. Despite the many different forms in which we encounter them, there are a number of characteristics that are shared by most particulate flows. Some of these characteristics arise from the interaction of the individual particles with the surrounding fluid. For instance, a particulate flow past a blunt body tends to exert a higher drag force than the body would experience in the fluid with no particles"--
Author: Cristian Marchioli
Author: Cristian Marchioli
Author: Frank Schweitzer
Author: Adrian Muntean
Author: Pawel Romanczuk
Author: Sergiy Antonyuk
Author: Roman Shvydkoy
Author: Daiki Nishiguchi
Author: Günter Radons
Author: Giovanni Naldi
Author: Jeffery S. Marshall