Numerical Simulation
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Numerical Simulation In Molecular Dynamics
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Author : Michael Griebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-16
Numerical Simulation In Molecular Dynamics written by Michael Griebel 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 2007-08-16 with Science categories.
This book details the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating computer particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique. It illustrates modeling, discretization, algorithms and their parallel implementation with MPI on computer systems with distributed memory. The text offers step-by-step explanations of numerical simulation, providing illustrative code examples. With the description of the algorithms and the presentation of the results of various simulations from fields such as material science, nanotechnology, biochemistry and astrophysics, the reader of this book will learn how to write programs capable of running successful experiments for molecular dynamics.
Mathematical Models And Numerical Simulation In Electromagnetism
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Author : Alfredo Bermúdez de Castro
language : en
Publisher: Springer
Release Date : 2014-07-22
Mathematical Models And Numerical Simulation In Electromagnetism written by Alfredo Bermúdez de Castro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.
The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations that should be solved in order to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electric engineering applications, going from the general to the specific, namely, from the full Maxwell’s equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standard exercises related to analytical calculus, the book includes some others oriented to real-life applications solved with MaxFEM free simulation software.
Numerical Simulation Based Design
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Author : Xu Han
language : en
Publisher:
Release Date : 2020
Numerical Simulation Based Design written by Xu Han and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Industrial design categories.
This book focuses on numerical simulation-based design theory and methods in mechanical engineering. The simulation-based design of mechanical equipment involves considerable scientific challenges including extremely complex systems, extreme working conditions, multi-source uncertainties, multi-physics coupling, and large-scale computation. In order to overcome these technical difficulties, this book systematically elaborates upon the advanced design methods, covering high-fidelity simulation modeling, rapid structural analysis, multi-objective design optimization, uncertainty analysis and optimization, which can effectively improve the design accuracy, efficiency, multi-functionality and reliability of complicated mechanical structures. This book is primarily intended for researchers, engineers and postgraduate students in mechanical engineering, especially in mechanical design, numerical simulation and engineering optimization.
Clean Numerical Simulation
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Author : Shijun Liao
language : en
Publisher: CRC Press
Release Date : 2023-10-25
Clean Numerical Simulation written by Shijun Liao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-25 with Mathematics categories.
This book describes the basic principles of Clean Numerical Simulation (CNS) proposed by the author in 2009, as well as several of its applications. Unlike conventional algorithms, CNS gives in a sufficiently long interval of time a convergent chaotic trajectory whose numerical noise is much lower than the true physical solution, so that one can gain accurately. Thus, CNS provides for the first time an ability to check statistics stability of chaos, leading to a completely new concept of "ultra-chaos," which has both trajectory instability and statistics instability, and thus is of a higher disorder. Notably, it is impossible to repeat experimental results of ultra-chaos even in the statistical sense. However, the reproducibility of physical experiments forms a cornerstone for modern science. Thus, ultra-chaos reveals an incompleteness of the modern science paradigm. In addition, it also reveals statistics stability as a precondition for use of conventional algorithms, including direct numerical simulation (DNS). In Clean Numerical Simulation, several conjectures and open problems are proposed, including a modified fourth Clay millennium problem. Indeed, CNS opens the door for us to enter the "clean" numerical world of chaos and turbulence.
Numerical Simulation An Art Of Prediction 1
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Author : Jean-François Sigrist
language : en
Publisher: John Wiley & Sons
Release Date : 2020-04-14
Numerical Simulation An Art Of Prediction 1 written by Jean-François Sigrist and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-14 with Mathematics categories.
Numerical simulation is a technique of major importance in various technical and scientific fields. Used to understand diverse physical phenomena or to design everyday objects, it plays a major role in innovation in the industrial sector. Whilst engineering curricula now include training courses dedicated to it, numerical simulation is still not well-known in some economic sectors, and even less so among the general public. Simulation involves the mathematical modeling of the real world, coupled with the computing power offered by modern technology. Designed to perform virtual experiments, digital simulation can be considered as an "art of prediction". Embellished with a rich iconography and based on the testimony of researchers and engineers, this book shines a light on this little-known art. It is the first of two volumes and focuses on the principles, methods and industrial practice of numerical modeling.
Numerical Simulation Advanced Techniques For Science And Engineering
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Author : Ali Soofastaei
language : en
Publisher: BoD – Books on Demand
Release Date : 2023-11-15
Numerical Simulation Advanced Techniques For Science And Engineering written by Ali Soofastaei and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-15 with Computers categories.
Numerical simulation is a powerful tool used in various fields of science and engineering to model complex systems and predict their behavior. It involves developing mathematical models that describe the behavior of a system and using computer algorithms to solve these models numerically. By doing so, researchers and engineers can study the behavior of a system in detail, which may only be possible with analytical methods. Numerical simulation has many advantages over traditional analytical methods. It allows researchers and engineers to study complex systems’ behavior in detail and predict their behavior in different scenarios. It also allows for the optimization of systems and the identification of design flaws before they are built. However, numerical simulation has its limitations. It requires significant computational resources, and the accuracy of the results depends on the quality of the mathematical models and the discretization methods used. Nevertheless, numerical simulation remains a valuable tool in many fields and its importance is likely to grow as computational resources become more powerful and widely available. Numerical simulation is widely used in physics, engineering, computer science, and mathematics. In physics, for example, numerical simulation is used to study the behavior of complex systems such as weather patterns, fluid dynamics, and particle interactions. In engineering, it is used to design and optimize systems such as aircraft, cars, and buildings. In computer science, numerical simulation models and optimization algorithms and data structures. In mathematics, it is used to study complex mathematical models and to solve complex equations. This book familiarizes readers with the practical application of the numerical simulation technique to solve complex analytical problems in different industries and sciences.
Numerical Simulation Of Mechatronic Sensors And Actuators
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Author : Manfred Kaltenbacher
language : en
Publisher: Springer
Release Date : 2015-02-07
Numerical Simulation Of Mechatronic Sensors And Actuators written by Manfred Kaltenbacher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-07 with Technology & Engineering categories.
Like the previous editions also the third edition of this book combines the detailed physical modeling of mechatronic systems and their precise numerical simulation using the Finite Element (FE) method. Thereby, the basic chapter concerning the Finite Element (FE) method is enhanced, provides now also a description of higher order finite elements (both for nodal and edge finite elements) and a detailed discussion of non-conforming mesh techniques. The author enhances and improves many discussions on principles and methods. In particular, more emphasis is put on the description of single fields by adding the flow field. Corresponding to these field, the book is augmented with the new chapter about coupled flow-structural mechanical systems. Thereby, the discussion of computational aeroacoustics is extended towards perturbation approaches, which allows a decomposition of flow and acoustic quantities within the flow region. Last but not least, applications are updated and restructured so that the book meets modern demands.
Numerical Simulation Of Distributed Parameter Processes
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Author : Tiberiu Colosi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-02
Numerical Simulation Of Distributed Parameter Processes written by Tiberiu Colosi 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 2013-03-02 with Technology & Engineering categories.
The present monograph defines, interprets and uses the matrix of partial derivatives of the state vector with applications for the study of some common categories of engineering. The book covers broad categories of processes that are formed by systems of partial derivative equations (PDEs), including systems of ordinary differential equations (ODEs). The work includes numerous applications specific to Systems Theory based on Mpdx, such as parallel, serial as well as feed-back connections for the processes defined by PDEs. For similar, more complex processes based on Mpdx with PDEs and ODEs as components, we have developed control schemes with PID effects for the propagation phenomena, in continuous media (spaces) or discontinuous ones (chemistry, power system, thermo-energetic) or in electro-mechanics (railway – traction) and so on. The monograph has a purely engineering focus and is intended for a target audience working in extremely diverse fields of application (propagation phenomena, diffusion, hydrodynamics, electromechanics) in which the use of PDEs and ODEs is justified.
Numerical Simulation Of Water Waves
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Author : Jianhua Tao
language : en
Publisher: Springer Nature
Release Date : 2020-03-30
Numerical Simulation Of Water Waves written by Jianhua Tao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-30 with Technology & Engineering categories.
This book discusses the numerical simulation of water waves, which combines mathematical theories and modern techniques of numerical simulation to solve the problems associated with waves in coastal, ocean, and environmental engineering. Bridging the gap between practical mathematics and engineering, the book describes wave mechanics, establishment of mathematical wave models, modern numerical simulation techniques, and applications of numerical models in engineering. It also explores environmental issues related to water waves in coastal regions, such as pollutant and sediment transport, and introduces numerical wave flumes and wave basins. The material is self-contained, with numerous illustrations and tables, and most of the mathematical and engineering concepts are presented or derived in the text. The book is intended for researchers, graduate students and engineers in the fields of hydraulic, coastal, ocean and environmental engineering with a background in fluid mechanics and numerical simulation methods.
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.