Smooth Particle Applied Mechanics The State Of The Art

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Smooth Particle Applied Mechanics: The State Of The Art

Author : William Graham Hoover
Publisher : World Scientific
ISBN 13 : 9814477184
Total Pages : 315 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Smooth Particle Applied Mechanics: The State Of The Art by : William Graham Hoover

Download or read book Smooth Particle Applied Mechanics: The State Of The Art written by William Graham Hoover and published by World Scientific. This book was released on 2006-11-02 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Time Reversability, Computer Simulation, Algorithms, Chaos

Author : William Graham Hoover
Publisher : World Scientific
ISBN 13 : 9814383171
Total Pages : 426 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Time Reversability, Computer Simulation, Algorithms, Chaos by : William Graham Hoover

Download or read book Time Reversability, Computer Simulation, Algorithms, Chaos written by William Graham Hoover and published by World Scientific. This book was released on 2012 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory - fractals and Lyapunov instability - are fundamental to the approach. Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers.

Microscopic And Macroscopic Simulation Techniques: Kharagpur Lectures

Author : Hoover William Graham
Publisher : World Scientific
ISBN 13 : 9813232544
Total Pages : 412 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Microscopic And Macroscopic Simulation Techniques: Kharagpur Lectures by : Hoover William Graham

Download or read book Microscopic And Macroscopic Simulation Techniques: Kharagpur Lectures written by Hoover William Graham and published by World Scientific. This book was released on 2018-03-13 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide an example-based education in numerical methods for atomistic and continuum simulations of systems at and away from equilibrium. The focus is on nonequilibrium systems, stressing the use of tools from dynamical systems theory for their analysis. Lyapunov instability and fractal dimensionality are introduced and algorithms for their analysis are detailed. The book is intended to be self-contained and accessible to students who are comfortable with calculus and differential equations. The wide range of topics covered will provide students, researchers and academics with effective tools for formulating and solving interesting problems, both atomistic and continuum. The detailed description of the use of thermostats to control nonequilibrium systems will help readers in writing their own programs rather than being saddled with packaged software. Contents: Mechanics, Molecular Dynamics, and Gibbs' Statistical Mechanics Numerical Integration and Error Analysis Molecular Dynamics with Thermostats Simple Systems with Thermal Constraints Ergodicity and Its Importance in Small Systems Equilibrium Thermodynamics + Nonequilibrium Hydrodynamics Statistical Mechanics of Small Systems Microscopic Reversibility, Macroscopic Irreversibility Lyapunov Instability, Fractals, and Chaos I Lyapunov Instability, Fractals, and Chaos II Smooth-Particle Continuum Mechanics Epilogue Readership: Undergraduate, graduate students, researchers focusing on statistical mechanics and numerical simulation. Keywords: Numerical Methods;Simulation;Nonequilibrium;Molecular Dynamics;Continuum Mechanics;Statistical Mechanics;Chaos;Lyapunov Instability;Hydrodynamics;ThermodynamicsReview: Key Features: Three useful areas covered — treatment of control variables such as thermostats and ergostats, dynamical system analysis and the use of smooth particle techniques for analyzing molecular dynamics, and the solution of continuum problems

Advanced Computational Methods and Geomechanics

Author : Shenghong Chen
Publisher : Springer Nature
ISBN 13 : 9811974276
Total Pages : 782 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Advanced Computational Methods and Geomechanics by : Shenghong Chen

Download or read book Advanced Computational Methods and Geomechanics written by Shenghong Chen and published by Springer Nature. This book was released on 2023-01-01 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is intended, through parallel expounding, to help readers comprehensively grasp the intrinsic features of typical advanced computational methods. These methods are created in recent three decades for the understanding of the post-failure of geo-materials accompanied with discontinuous and finite deformation/dislocation, as well as the violent fluid-structure interaction accompanied with strong distortion of water surface. The strong points and weak points of the formalisms for governing equations, the discretization schemes, the nodal interpolation /approximation of field variables, and their connectivity (via support domains, covers, or enrichments), the basic algorithms, etc., are clarified. Being aware of that the differences in these methods are not so large as at the first glance, this book will help readers to select appropriate methods, to improve the methods for their specific purpose, and to evaluate the reliability/applicability of the outcomes in the hazard evaluation of geotechnical (hydraulic) structures beyond extreme work situation. This book may be looked at as an advanced continuation of “Computational Geomechanics and Hydraulic Structures” by the author (2018) (Springer-Verlag, ISBN 978-981-10-8134-7) which elaborates the fundamental computational methods in geomechanics for the routine design of geotechnical (hydraulic) engineering.

Theory and Applications of Colloidal Suspension Rheology

Author : Norman J. Wagner
Publisher : Cambridge University Press
ISBN 13 : 1108503624
Total Pages : 438 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Theory and Applications of Colloidal Suspension Rheology by : Norman J. Wagner

Download or read book Theory and Applications of Colloidal Suspension Rheology written by Norman J. Wagner and published by Cambridge University Press. This book was released on 2021-04-15 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential text on practical application, theory and simulation, written by an international coalition of experts in the field and edited by the authors of Colloidal Suspension Rheology. This up-to-date work builds upon the prior work as a valuable guide to formulation and processing, as well as fundamental rheology of colloidal suspensions. Thematically, theory and simulation are connected to industrial application by consideration of colloidal interactions, particle properties, and suspension microstructure. Important classes of model suspensions including gels, glasses and soft particles are covered so as to develop a deeper understanding of industrial systems ranging from carbon black slurries, paints and coatings, asphalt, cement, and mine tailings, to natural suspensions such as biocolloids, protein solutions, and blood. Systematically presenting the established facts in this multidisciplinary field, this book is the perfect aid for academic researchers, graduate students, and industrial practitioners alike.

An Invitation to Applied Mathematics

Author : Carmen Chicone
Publisher : Academic Press
ISBN 13 : 0128041544
Total Pages : 878 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis An Invitation to Applied Mathematics by : Carmen Chicone

Download or read book An Invitation to Applied Mathematics written by Carmen Chicone and published by Academic Press. This book was released on 2016-09-24 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students. Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics. Presents an integrated wealth of modeling, analysis, and numerical methods in one volume Provides practical and comprehensible introductions to complex subjects, for example, conservation laws, CFD, SPH, BEM, and FEM Includes a rich set of applications, with more appealing problems and projects suggested

Simulation and Control of Chaotic Nonequilibrium Systems

Author : William Graham Hoover
Publisher : World Scientific Publishing Company
ISBN 13 : 9814656844
Total Pages : 324 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Simulation and Control of Chaotic Nonequilibrium Systems by : William Graham Hoover

Download or read book Simulation and Control of Chaotic Nonequilibrium Systems written by William Graham Hoover and published by World Scientific Publishing Company. This book was released on 2015-02-02 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide a lively working knowledge of the thermodynamic control of microscopic simulations, while summarizing the historical development of the subject, along with some personal reminiscences. Many computational examples are described so that they are well-suited to learning by doing. The contents enhance the current understanding of the reversibility paradox and are accessible to advanced undergraduates and researchers in physics, computation, and irreversible thermodynamics.

Numerical Models for Submerged Breakwaters

Author : Amir Sharifahmadian
Publisher : Butterworth-Heinemann
ISBN 13 : 0128026650
Total Pages : 362 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Numerical Models for Submerged Breakwaters by : Amir Sharifahmadian

Download or read book Numerical Models for Submerged Breakwaters written by Amir Sharifahmadian and published by Butterworth-Heinemann. This book was released on 2015-11-24 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Models for Submerged Breakwaters: Coastal Hydrodynamics and Morphodynamics discusses the practice of submerged breakwaters, an increasingly popular tool used as a coastal defense system because of their amenity and aesthetics as compared to common emerged beach protection measures. The book is the perfect guide for experienced professionals who wish to keep abreast of the latest best practices or those who are entering the field and need a reference, explaining new and traditional numerical methodologies for designing submerged breakwaters and measuring their performance. In addition, the book provides case studies, examples, and practical methods for data selection and pre-processing, model setup, calibration, and analysis. Case studies and worked-out examples illustrate different concepts and methods Offers practical methods for Data Selection and Pre-Processing Provides simplified prediction tools for practical applications

Computational Design of Engineering Materials

Author : Yong Du
Publisher : Cambridge University Press
ISBN 13 : 1108665896
Total Pages : 499 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Computational Design of Engineering Materials by : Yong Du

Download or read book Computational Design of Engineering Materials written by Yong Du and published by Cambridge University Press. This book was released on 2023-02-28 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing state-of-the art computational methods, this book combines detailed explanations with real-world case studies to give a full grounding in the design of engineering materials. This book presents a wide spectrum of key computational methods, such as CALPHAD-method, first-principles calculations, phase-field simulation and finite element analysis, covering the atomic-meso-macro scale range. The reader will see these methods applied to case studies for steel, light alloys, superalloys, cemented carbides, hard coating and energy materials, demonstrating in detail how real-world materials are designed. Online ancillary material includes input files for computational design software, providing the reader with hands-on design experience. Step-by-step instructions will allow you to perform and repeat the simulations discussed in the book. Aimed at both graduate and undergraduate students as well as non-specialist researchers in materials science and engineering, including ceramics, metallurgy, and chemistry, this is an ideal introductory and reference book.

Industrial Applications of Molecular Simulations

Author : Marc Meunier
Publisher : CRC Press
ISBN 13 : 1439861021
Total Pages : 421 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Industrial Applications of Molecular Simulations by : Marc Meunier

Download or read book Industrial Applications of Molecular Simulations written by Marc Meunier and published by CRC Press. This book was released on 2016-04-19 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of quantum and molecular simulations has experienced strong growth since the time of the early software packages. A recent study, showed a large increase in the number of people publishing papers based on ab initio methods from about 3,000 in 1991 to roughly 20,000 in 2009, with particularly strong growth in East Asia. Looking to the future, the question remains as to how these methods can be further integrated into the R&D value chain, bridging the gap from engineering to manufacturing. Using successful case studies as a framework, Industrial Applications of Molecular Simulations demonstrates the capability of molecular modeling to tackle problems of industrial relevance. This book presents a wide range of various modeling techniques, including methods based on quantum or classical mechanics, molecular dynamics, Monte Carlo simulations, etc. It also explores a wide range of materials, from soft materials such as polymeric blends widely used in the chemical industry to hard or inorganic materials such as glasses and alumina. Features Demonstrates how modeling can solve everyday problems for scientists in industry Provides a broad overview of theoretical approaches Presents a wide range of applications in areas such as materials research, catalysis, pharmaceutical development and electronics Emphasizes the relationship between theory and experiments

Thermodynamics

Author : Juan Carlos Moreno Piraján
Publisher : BoD – Books on Demand
ISBN 13 : 9533076275
Total Pages : 418 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Thermodynamics by : Juan Carlos Moreno Piraján

Download or read book Thermodynamics written by Juan Carlos Moreno Piraján and published by BoD – Books on Demand. This book was released on 2011-09-22 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamics is one of the most exciting branches of physical chemistry which has greatly contributed to the modern science. Being concentrated on a wide range of applications of thermodynamics, this book gathers a series of contributions by the finest scientists in the world, gathered in an orderly manner. It can be used in post-graduate courses for students and as a reference book, as it is written in a language pleasing to the reader. It can also serve as a reference material for researchers to whom the thermodynamics is one of the area of interest.

Rock Mechanics in Civil and Environmental Engineering

Author : Jian Zhao
Publisher : CRC Press
ISBN 13 : 0203840690
Total Pages : 882 pages
Book Rating : 4.2/5 (38 download)

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Book Synopsis Rock Mechanics in Civil and Environmental Engineering by : Jian Zhao

Download or read book Rock Mechanics in Civil and Environmental Engineering written by Jian Zhao and published by CRC Press. This book was released on 2010-05-19 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last two decades rock mechanics in Europe has been undergoing some major transformation. The reduction of mining activities in Europe affects heavily on rock mechanics teaching and research at universities and institutes. At the same time, new emerging activities, notably, underground infrastructure construction, geothermal energy develo

Molecular Simulation of Fluids

Author : Richard J. Sadus
Publisher : Elsevier
ISBN 13 : 0323910556
Total Pages : 617 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Molecular Simulation of Fluids by : Richard J. Sadus

Download or read book Molecular Simulation of Fluids written by Richard J. Sadus and published by Elsevier. This book was released on 2023-09-16 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Molecular simulation allows researchers unique insight into the structures and interactions at play in fluids. Since publication of the first edition of Molecular Simulation of Fluids, novel developments in theory, algorithms and computer hardware have generated enormous growth in simulation capabilities. This 2nd edition has been fully updated and expanded to highlight this recent progress, encompassing both Monte Carlo and molecular dynamic techniques, and providing details of theory, algorithms and both serial and parallel implementations. Beginning with a clear introduction and review of theoretical foundations, the book goes on to explore intermolecular potentials before discussing the calculation of molecular interactions in more detail. Monte Carlo simulation and integrators for molecular dynamics are then discussed further, followed by non-equilibrium molecular dynamics and molecular simulation of ensembles and phase equilibria. The use of object-orientation is examined in detail, with working examples coded in C++. Finally, practical parallel simulation algorithms are discussed using both MPI and GPUs, with the latter coded in CUDA. Drawing on the extensive experience of its expert author, Molecular Simulation of Fluids: Theory, Algorithms, Object-Orientation, and Parallel Computing 2nd Edition is a practical, accessible guide to this complex topic for all those currently using, or interested in using, molecular simulation to study fluids. Fully updated and revised to reflect advances in the field, including new chapters on intermolecular potentials and parallel algorithms Covers the application of both MPI and GPU programming to molecular simulation Covers a wide range of simulation topics using both Monte Carlo and molecular dynamics approaches Provides access to downloadable simulation code, including GPU code using CUDA, to encourage practice and support learning

Crystal Plasticity Finite Element Methods

Author : Franz Roters
Publisher : John Wiley & Sons
ISBN 13 : 3527642099
Total Pages : 188 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Crystal Plasticity Finite Element Methods by : Franz Roters

Download or read book Crystal Plasticity Finite Element Methods written by Franz Roters and published by John Wiley & Sons. This book was released on 2011-08-04 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.

Geometry of Nonholonomically Constrained Systems

Author : Richard H. Cushman
Publisher : World Scientific
ISBN 13 : 9814289485
Total Pages : 421 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Geometry of Nonholonomically Constrained Systems by : Richard H. Cushman

Download or read book Geometry of Nonholonomically Constrained Systems written by Richard H. Cushman and published by World Scientific. This book was released on 2010 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of Carathodory's sleigh and the convex rolling rigid body. The qualitative behavior of the motion of the rolling disk is treated exhaustively and in detail. In particular, it classifies all motions of the disk, including those where the disk falls flat and those where it nearly falls flat. The geometric techniques described in this book for symmetry reduction have not appeared in any book before. Nor has the detailed description of the motion of the rolling disk. In this respect, the authors are trail-blazers in their respective fields.

Geometrical Theory of Dynamical Systems and Fluid Flows

Author : Tsutomu Kambe
Publisher : World Scientific Publishing Company
ISBN 13 : 981310760X
Total Pages : 444 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Geometrical Theory of Dynamical Systems and Fluid Flows by : Tsutomu Kambe

Download or read book Geometrical Theory of Dynamical Systems and Fluid Flows written by Tsutomu Kambe and published by World Scientific Publishing Company. This book was released on 2009-12-28 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems. In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics.

Elegant Simulations: From Simple Oscillators To Many-body Systems

Author : Julien Clinton Sprott
Publisher : World Scientific
ISBN 13 : 9811263582
Total Pages : 325 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Elegant Simulations: From Simple Oscillators To Many-body Systems by : Julien Clinton Sprott

Download or read book Elegant Simulations: From Simple Oscillators To Many-body Systems written by Julien Clinton Sprott and published by World Scientific. This book was released on 2022-12-20 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: A recent development is the discovery that simple systems of equations can have chaotic solutions in which small changes in initial conditions have a large effect on the outcome, rendering the corresponding experiments effectively irreproducible and unpredictable. An earlier book in this sequence, Elegant Chaos: Algebraically Simple Chaotic Flows provided several hundred examples of such systems, nearly all of which are purely mathematical without any obvious connection with actual physical processes and with very limited discussion and analysis.In this book, we focus on a much smaller subset of such models, chosen because they simulate some common or important physical phenomenon, usually involving the motion of a limited number of point-like particles, and we discuss these models in much greater detail. As with the earlier book, the chosen models are the mathematically simplest formulations that exhibit the phenomena of interest, and thus they are what we consider 'elegant.'Elegant models, stripped of unnecessary detail while maximizing clarity, beauty, and simplicity, occupy common ground bordering both real-world modeling and aesthetic mathematical analyses. A computational search led one of us (JCS) to the same set of differential equations previously used by the other (WGH) to connect the classical dynamics of Newton and Hamilton to macroscopic thermodynamics. This joint book displays and explores dozens of such relatively simple models meeting the criteria of elegance, taste, and beauty in structure, style, and consequence.This book should be of interest to students and researchers who enjoy simulating and studying complex particle motions with unusual dynamical behaviors. The book assumes only an elementary knowledge of calculus. The systems are initial-value iterated maps and ordinary differential equations but they must be solved numerically. Thus for readers a formal differential equations course is not at all necessary, of little value and limited use.