Modeling And Computational Methods For Multi Scale Quantum Dynamics And Kinetic Equations
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Modeling And Computational Methods For Multi Scale Quantum Dynamics And Kinetic Equations
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Author :
language : en
Publisher:
Release Date : 2013
Modeling And Computational Methods For Multi Scale Quantum Dynamics And Kinetic Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
This dissertation consists of two parts: quantum transitions (Part 1) and hydrodynamic limits of kinetic equations (Part 2). In both parts, we investigate the inner mathematical connections between equations for different physics at different scales, and use these connections to design efficient computational methods for multi-scale problems. Despite its numerous applications in chemistry and physics, the mathematics of quantum transition is not well understood. Using the Wigner transformation, we derive semi-classical models in phase space for two problems: the dynamics of electrons in crystals near band- crossing points; surface hopping of quantum molecules when the Born-Oppenheimer approximation breaks down. In both cases, particles may jump between states with comparable energies. Our models can capture the transition rates for such processes. We provide analytic analysis of and numerical methods for our models, demonstrated by explicit examples. The second part is to construct numerical methods for kinetic equation that are efficient in the hydrodynamic regime. Asymptotically, the kinetic equations reduce to fluid dynamics described by the Euler or Navier-Stokes equations in the fluid regime. Numerically the Boltzmann equation is still hard to handle in the hydrodynamic regime due to the stiff collision term. We review the theoretical work that links the two sets of equations, and present our asymptotic-preserving numerical solvers for the Boltzmann equation that naturally capture the asymptotic limits in the hydrodynamic regime. We also extend our methods to the case of multi-species systems.
Principles Of Multiscale Modeling
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Author : Weinan E
language : en
Publisher: Cambridge University Press
Release Date : 2011-07-07
Principles Of Multiscale Modeling written by Weinan E 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 2011-07-07 with Mathematics categories.
A systematic discussion of the fundamental principles, written by a leading contributor to the field.
Particle Methods For Multi Scale And Multi Physics
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Author : Moubin Liu
language : en
Publisher: World Scientific
Release Date : 2015-12-28
Particle Methods For Multi Scale And Multi Physics written by Moubin Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-28 with Mathematics categories.
Multi-scale and multi-physics modeling is useful and important for all areas in engineering and sciences. Particle Methods for Multi-Scale and Multi-Physics systematically addresses some major particle methods for modeling multi-scale and multi-physical problems in engineering and sciences. It contains different particle methods from atomistic scales to continuum scales, with emphasis on molecular dynamics (MD), dissipative particle dynamics (DPD) and smoothed particle hydrodynamics (SPH).This book covers the theoretical background, numerical techniques and many interesting applications of the particle methods discussed in this text, especially in: micro-fluidics and bio-fluidics (e.g., micro drop dynamics, movement and suspension of macro-molecules, cell deformation and migration); environmental and geophysical flows (e.g., saturated and unsaturated flows in porous media and fractures); and free surface flows with possible interacting solid objects (e.g., wave impact, liquid sloshing, water entry and exit, oil spill and boom movement). The presented methodologies, techniques and example applications will benefit students, researchers and professionals in computational engineering and sciences.
Numerical Techniques For Direct And Large Eddy Simulations
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Author : Xi Jiang
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Numerical Techniques For Direct And Large Eddy Simulations written by Xi Jiang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
Compared to the traditional modeling of computational fluid dynamics, direct numerical simulation (DNS) and large-eddy simulation (LES) provide a very detailed solution of the flow field by offering enhanced capability in predicting the unsteady features of the flow field. In many cases, DNS can obtain results that are impossible using any other me
Multiscale Modeling For Process Safety Applications
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Author : Arnab Chakrabarty
language : en
Publisher: Butterworth-Heinemann
Release Date : 2015-11-29
Multiscale Modeling For Process Safety Applications written by Arnab Chakrabarty and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-29 with Technology & Engineering categories.
Multiscale Modeling for Process Safety Applications is a new reference demonstrating the implementation of multiscale modeling techniques on process safety applications. It is a valuable resource for readers interested in theoretical simulations and/or computer simulations of hazardous scenarios. As multi-scale modeling is a computational technique for solving problems involving multiple scales, such as how a flammable vapor cloud might behave if ignited, this book provides information on the fundamental topics of toxic, fire, and air explosion modeling, as well as modeling jet and pool fires using computational fluid dynamics. The book goes on to cover nanomaterial toxicity, QPSR analysis on relation of chemical structure to flash point, molecular structure and burning velocity, first principle studies of reactive chemicals, water and air reactive chemicals, and dust explosions. Chemical and process safety professionals, as well as faculty and graduate researchers, will benefit from the detailed coverage provided in this book. - Provides the only comprehensive source addressing the use of multiscale modeling in the context of process safety - Bridges multiscale modeling with process safety, enabling the reader to understand mapping between problem detail and effective usage of resources - Presents an overall picture of addressing safety problems in all levels of modeling and the latest approaches to each in the field - Features worked out examples, case studies, and a question bank to aid understanding and involvement for the reader
Computational Modelling Of Nanomaterials
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Author : Panagiotis Grammatikopoulos
language : en
Publisher: Elsevier
Release Date : 2020-09-30
Computational Modelling Of Nanomaterials written by Panagiotis Grammatikopoulos and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-30 with Technology & Engineering categories.
Due to their small size and their dependence on very fast phenomena, nanomaterials are ideal systems for computational modelling. This book provides an overview of various nanosystems classified by their dimensions: 0D (nanoparticles, QDs, etc.), 1D (nanowires, nanotubes), 2D (thin films, graphene, etc.), 3D (nanostructured bulk materials, devices). Fractal dimensions, such as nanoparticle agglomerates, percolating films and combinations of materials of different dimensionalities are also covered (e.g. epitaxial decoration of nanowires by nanoparticles, i.e. 0D+1D nanomaterials). For each class, the focus will be on growth, structure, and physical/chemical properties. The book presents a broad range of techniques, including density functional theory, molecular dynamics, non-equilibrium molecular dynamics, finite element modelling (FEM), numerical modelling and meso-scale modelling. The focus is on each method's relevance and suitability for the study of materials and phenomena in the nanoscale. This book is an important resource for understanding the mechanisms behind basic properties of nanomaterials, and the major techniques for computational modelling of nanomaterials. - Explores the major modelling techniques used for different classes of nanomaterial - Assesses the best modelling technique to use for each different type of nanomaterials - Discusses the challenges of using certain modelling techniques with specific nanomaterials
Computational Systems Bioinformatics Volume 6 Proceedings Of The Conference Csb 2007
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Author : Peter Markstein
language : en
Publisher: World Scientific
Release Date : 2007-09-12
Computational Systems Bioinformatics Volume 6 Proceedings Of The Conference Csb 2007 written by Peter Markstein and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-12 with Science categories.
This volume contains about 40 papers covering many of the latest developments in the fast-growing field of bioinformatics. The contributions span a wide range of topics, including computational genomics and genetics, protein function and computational proteomics, the transcriptome, structural bioinformatics, microarray data analysis, motif identification, biological pathways and systems, and biomedical applications. Abstracts from the keynote addresses and invited talks are also included.The papers not only cover theoretical aspects of bioinformatics but also delve into the application of new methods, with input from computation, engineering and biology disciplines. This multidisciplinary approach to bioinformatics gives these proceedings a unique viewpoint of the field./a
Multi Scale Quantum Models For Biocatalysis
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Author : Darrin M. York
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-30
Multi Scale Quantum Models For Biocatalysis written by Darrin M. York 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 2009-05-30 with Science categories.
“Multi-scale Quantum Models for Biocatalysis” explores various molecular modelling techniques and their applications in providing an understanding of the detailed mechanisms at play during biocatalysis in enzyme and ribozyme systems. These areas are reviewed by an international team of experts in theoretical, computational chemistry, and biophysics. This book presents detailed reviews concerning the development of various techniques, including ab initio molecular dynamics, density functional theory, combined QM/MM methods, solvation models, force field methods, and free-energy estimation techniques, as well as successful applications of multi-scale methods in the biocatalysis systems including several protein enzymes and ribozymes. This book is an excellent source of information for research professionals involved in computational chemistry and physics, material science, nanotechnology, rational drug design and molecular biology and for students exposed to these research areas.
Multiscale Simulation And Design
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Author :
language : en
Publisher: Academic Press
Release Date : 2011-06-27
Multiscale Simulation And Design written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-27 with Technology & Engineering categories.
Due to the increasing importance of multi-scale computation in engineering, stimulated by the dramatic development of computer technology and understanding of multi-scale structures, an issue on multi-scale simulation and design--or so-called virtual process engineering--is now edited. ACE published an issue with title of multi-scale analysis in 2005 (vol 35). The intention of the present volume is different, trying to elucidate the bottlenecks and to identify the correct directions for the coming years from the process and product engineering point of view. Both fundamental and practical contributions will be provided from academia and industry. - Updates and informs the reader on the latest research findings using original reviews - Written by leading industry experts and scholars - Reviews and analyzes developments in the field
Multiscale Modelling Methods For Applications In Materials Science
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Author : Ivan Kondov
language : en
Publisher: Forschungszentrum Jülich
Release Date : 2013
Multiscale Modelling Methods For Applications In Materials Science written by Ivan Kondov and has been published by Forschungszentrum Jülich this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.