Computer Simulation Of Dynamic Phenomena
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Computer Simulation Of Dynamic Phenomena
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Author : Mark L. Wilkins
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Computer Simulation Of Dynamic Phenomena written by Mark L. Wilkins and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
This text describes computer programs for simulating phenomena in hydro dynamics, gas dynamics, and elastic plastic flow in one, two, and three dimen sions. Included in the two-dimensional program are Maxwell's equations and thermal and radiation diffusion. The programs were developed by the author during the years 1952-1985 at the Lawrence Livermore National Laboratory. The largest main-frame computers available in the early 1950s were re quired to solve hydrodynamic problems in one space dimension by using forty mass points. Subsequently, numerical methods were developed for solv ing problems in two and three space dimensions, but application of these methods had to wait until the main-frame computers were large enough to tackle meaningful problems. At the present time, lap-top computers can use these methods to solve problems in three space dimensions with the detail of 10 000 mass points. The numerical procedures described in the text permit the exact con servation of physical properties in the solutions of the fundamental laws of mechanics: (1) conservation of mass, (2) conservation of momentum, (3) con servation of energy. The laws of mechanics are universal in their application. Examples are given for the same computer simulation programs solving prob lems of penetration mechanics, surface waves from earthquakes, shock waves in solids and gases, failure of materials.
Computer Simulation Of Dynamic Phenomena
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Author : Mark L. Wilkins
language : en
Publisher:
Release Date : 2014-01-15
Computer Simulation Of Dynamic Phenomena written by Mark L. Wilkins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Computer Simulation Study Of Collective Phenomena In Dense Suspensions Of Red Blood Cells Under Shear
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Author : Timm Krüger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-02
Computer Simulation Study Of Collective Phenomena In Dense Suspensions Of Red Blood Cells Under Shear written by Timm Krüger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-02 with Science categories.
The rheology of dense red blood cell suspensions is investigated via computer simulations based on the lattice Boltzmann, the immersed boundary, and the finite element methods. The red blood cells are treated as extended and deformable particles immersed in the ambient fluid. In the first part of the work, the numerical model and strategies for stress evaluation are discussed. In the second part, the behavior of the suspensions in simple shear flow is studied for different volume fractions, particle deformabilities, and shear rates. Shear thinning behavior is recovered. The existence of a shear-induced transition from a tumbling to a tank-treading motion is demonstrated. The transition can be parameterized by a single quantity, namely the effective capillary number. It is the ratio of the suspension stress and the characteristic particle membrane stress. At the transition point, a strong increase in the orientational order of the red blood cells and a significant decrease of the particle diffusivity are observed. However, the average cell deformation shows no signature of the transition.
Modeling Dynamic Phenomena In Molecular And Cellular Biology
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Author : Lee A. Segel
language : en
Publisher: Cambridge University Press
Release Date : 1984-03-30
Modeling Dynamic Phenomena In Molecular And Cellular Biology written by Lee A. Segel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-03-30 with Mathematics categories.
The dynamic development of various processes is a central problem of biology and indeed of all the sciences. The mathematics describing that development is, in general, complicated, because the models that are realistic are usually nonlinear. Consequently many biologists may not notice a possible application of theory. They may be unable to decide whether a particular model captures the essence of a system, or to appreciate that analysis of a model can reveal important aspects of biological problems and may even describe in detail how a system works. The aim of this textbook is to remedy the situation by adopting a general approach to model analysis and applying it several times to problems (drawn primarily from molecular and cellular biology) of gradually increasing biological and mathematical complexity. Although material of considerable sophistication is included, little mathematical background is required - only some exposure to elementary calculus; appendixes supply the necessary mathematics and the author concentrates on concepts rather than techniques. He also emphasizes the role of computers in giving a full picture of model behavior and complementing more qualitative analysis. Some problems suitable for computer analysis are also included. This is a class-tested textbook suitable for a one-semester course for advanced undergraduate and beginning graduate students in biology or applied mathematics. It can also be used as a source book for teachers and a reference for specialists.
Dynamic Modeling
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Author : Bruce Hannon
language : en
Publisher: Springer
Release Date : 2013-12-21
Dynamic Modeling written by Bruce Hannon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-21 with Computers categories.
Computational Aerodynamics And Fluid Dynamics
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Author : Jean-Jacques Chattot
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Computational Aerodynamics And Fluid Dynamics written by Jean-Jacques Chattot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
The field of computational fluid dynamics (CFD) has matured since the au thor was first introduced to electronic computation in the mid-sixties. The progress of numerical methods has paralleled that of computer technology and software. Simulations are used routinely in all branches of engineering as a very powerful means for understanding complex systems and, ultimately, improve their design for better efficiency. Today's engineers must be capable of using the large simulation codes available in industry, and apply them to their specific problem by implemen ting new boundary conditions or modifying existing ones. The objective of this book is to give the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of phy sical phenomena, governed by equations that are related, yet simpler, than the equations they need to solve. The model problems presented here are linear, in most cases, and represent the propagation of waves in a medium, the diffusion of heat in a slab, and the equilibrium of a membrane under distributed loads. Yet, regardless of the origin of the problem, the partial differential equations (PDE's) reflect the physical phenomena to be modeled and can be classified as being of hyperbolic, parabolic or elliptic type. The numerical treatment depends on the equation type that can represent several physical situations as diverse as heat conduction and viscous fluid flow. Non linear model problems are also presented and solved, such as the transonic small disturbance equation and the equations of gas dynamics.
Computer Simulation Of Polymeric Materials
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Author : Japan Association for Chemical Innovation
language : en
Publisher: Springer
Release Date : 2016-07-30
Computer Simulation Of Polymeric Materials written by Japan Association for Chemical Innovation and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-30 with Science categories.
This book is the first to introduce a mesoscale polymer simulation system called OCTA. With its name derived from "Open Computational Tool for Advanced material technology," OCTA is a unique software product, available without charge, that was developed in a project funded by Japanese government. OCTA contains a series of simulation programs focused on mesoscale simulation of the soft matter COGNAC, SUSHI, PASTA, NAPLES, MUFFIN, and KAPSEL. When mesoscale polymer simulation is performed, one may encounter many difficulties that this book will help to overcome. The book not only introduces the theoretical background and functions of each simulation engine, it also provides many examples of the practical applications of the OCTA system. Those examples include predicting mechanical properties of plastic and rubber, morphology formation of polymer blends and composites, the micelle structure of surfactants, and optical properties of polymer films. This volume is strongly recommended as a valuable resource for both academic and industrial researchers who work in polymer simulation.
Computer Simulation Of Condensed Phases In Complex Geometries
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Author : Martin Schoen
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-11
Computer Simulation Of Condensed Phases In Complex Geometries written by Martin Schoen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-11 with Science categories.
Molecularly small confined phases play an important role in many scientific and engineering disciplines. For instance, the confining membrane of a living cell is known to affect the structure and transport of cellular water, which mediates the cell's metabolism and other biochemical processes. Transport of hazardous waste through the soil is strongly influenced by the adsorption of bulk phase molecules on the confining mineral _surfaces. Finally, molecularly thin confined fluid films play a prominent part in lubrication. These examples illustrate the broad range of natural and commercial processes to which the present subject pertains. Much experimental effort has been devoted to molecularly small confined phases, revealing the intriguing nature of such systems. Several sections of this book are therefore devoted to descriptions of experimental techniques. To date even the most refined experiments do not yield direct information about structure and processes on the molecular scale. Computer simulations, on the other hand, do give such information and therefore complement real laboratory experiments. Several sections of this book discuss the link between experiments and the corre sponding simulations.
The Least Squares Finite Element Method
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Author : Bo-nan Jiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
The Least Squares Finite Element Method written by Bo-nan Jiang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.
Here is a comprehensive introduction to the least-squares finite element method (LSFEM) for numerical solution of PDEs. It covers the theory for first-order systems, particularly the div-curl and the div-curl-grad system. Then LSFEM is applied systematically to permissible boundary conditions for the incompressible Navier-Stokes equations, to show that the divergence equations in the Maxwell equations are not redundant, and to derive equivalent second-order versions of the Navier-Stokes equations and the Maxwell equations. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics, including incompressible viscous flows, rotational inviscid flows, low-Mach-number compressible flows, two-fluid and convective flows, scattering waves, etc.
Asymptotic Analysis And Boundary Layers
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Author : Jean Cousteix
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-22
Asymptotic Analysis And Boundary Layers written by Jean Cousteix and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-22 with Science categories.
This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.