- Table View
- List View
Complex Media and Percolation Theory (Encyclopedia of Complexity and Systems Science Series)
by Muhammad Sahimi Allen G. HuntPercolation theory describes the effects of the connectivity of microscopic or small-scale elements of a complex medium to its macroscopic or large-scale properties. It also describes the conditions under which there may be a continuously connected path of local elements across the medium. The point at which the path is formed is called the percolation threshold. Percolation theory also predicts that many macroscopic properties of complex media follow universal power laws near the percolation threshold that are independent of many microscopic features of such media.There are many applications of percolation theory across the natural sciences, from porous materials, to composite solids, complex networks, and biological systems. This book presents the essential elements of percolation theory, covers the problem of calculating the exponents that characterize the power laws that the percolation quantities follow near the percolation threshold, provides a clear description of the geometry of percolation clusters of the connected paths, and addresses several variations of percolation theory. In particular, bootstrap percolation, explosive percolation, and invasion percolation are featured, which expand the range of natural systems to which percolation may be applicable. In addition, coverage includes several important applications of percolation theory to a range of phenomena, ranging from electrical conductivity, thermopower, the Hall effect, and photoconductivity of disordered semiconductors, to flow, transport and reaction in porous media, geochemistry, biology, and ecology.
Complex Spatial Systems: The Modelling Foundations of Urban and Regional Analysis
by Alan Geoffrey WilsonA comprehensive core text from the expert in the field introducing students to the main issues of spatial systems modelling and analysis.
Complex Variable Function Solutions in the Mechanical Analysis of Tunnels
by Aizhong Lu Huaning Wang Luqing ZhangThis book covers the mechanical problems of tunnels in traffic, hydraulic and mining engineering. By extending the complex variable method in mechanical analysis, it proposes accurate analytical solutions for tunnels. The solutions are further applied to the back analysis of tunnels, hole shape optimization, support design and estimation of tunnel stability. The considered rock characteristics involve elasticity, elastoplasticity, viscoelasticity and anisotropy, and various geometric conditions are included, such as circular/noncircular single/multiple tunnels with/without support at deep/shallow depths. Some original achievements are provided, including new mapping functions for complex regions, precise determination of the noncircular plastic zone around single/twin tunnels and related elastoplastic solutions and quantitative analysis of the interaction between rock and the support, which are new developments of theory and method in rock mechanics. The proposed analyticalsolutions are reliable tools to initially estimate the design parameters and achieve optimal design, providing guidance in the conceptual stage of the design process. They can clearly reveal the influences of parameters in functional form and provide a benchmark against which the overall correctness of numerical analyses can be assessed. This book summarizes the author's research achievements over more than 20 years. It is a valuable reference for professionals working in geotechnical engineering.
Complexity and Emergence: Lake Como School of Advanced Studies, Italy, July 22–27, 2018 (Springer Proceedings in Mathematics & Statistics #383)
by Sergio Albeverio Emanuela Rosazza Gianin Stefania Ugolini Elisa MastrogiacomoThis book includes contributions about mathematics, physics, philosophy of science, economics and finance and resulted from the Summer School “Complexity and Emergence: Ideas, Methods, with a Special Attention to Economics and Finance” held in Lake Como School of Advanced Studies, on 22–27 July 2018.The aim of the book is to provide useful instruments from the theory of complex systems, both on the theoretical level and the methodological ones, profiting from knowledge and insights from leading experts of different communities. It moves from the volume editors' conviction that to achieve progress in understanding socio-economical as well as ecological problems of our complex word such preparation is needed, together with a critical reconsideration of our basic scientific and economical approach.The potential readers are primarily master and doctorate students of mathematics, information sciences, theoretical physics and economics, as well as research workers in those areas, who want to enlarge their spectrum of knowledge towards the area of complexity and emergence. Since ideas and methods of the theory of complex systems also apply to other areas (from engineering and architecture to biology and medicine, e.g.), students and research workers from those areas will also profit from this book.
Complexity and Resilience in the Social and Ecological Sciences
by Eoin FlahertyThis book introduces a new approach to environmental sociology, by integrating complexity-informed social science, Marxian ecological theory, and resilience-based human ecology. It argues that sociologists have largely ignored developments in ecology which move beyond functionalist approaches to systems analysis, and as a result, environmental sociology has failed to capitalise not only on the analytical promise of resilience ecology, but on complementary developments in complexity theory. By tracing the origins and discussing current developments in each of these areas, it offers several paths to interdisciplinary dialogue. Eoin Flaherty argues that complexity theory and Marxian ecology can enhance our understanding of the social aspect of social-ecological systems, whilst a resilience approach can sharpen the analytical power of environmental sociology.
Complexity and Spatial Networks: In Search of Simplicity (Advances in Spatial Science)
by Peter Nijkamp Aura ReggianiThis book offers a panoramic view of recent advances in spatial complexity, in order to enhance our understanding of complex spatial networks by simplicity in terms of both the basic driving forces of systemic impacts and the modelling of such systems. Simple models mapping out the evolution of complex networks are undoubtedly a key issue in spatial economic research. In exploring this untrodden ground, this volume pursues new interdisciplinary pathways for theoretical, methodological and empirical analysis in the complex interconnected space-economy. It highlights 'evolutionary' directions and 'unifying' perspectives in this fascinating research field.
Complexity and Sustainability (Routledge Studies in Ecological Economics)
by Jennifer WellsComplex dynamic system studies have been studied explicitly in the natural sciences, and most only implicitly throughout other fields. Yet much great social theory and philosophy is in fact based in complexity, and important concepts like postmodernism, risk, and collapse all stem from complexity. Six key terms are explored: nonlinearity, feedbacks, thresholds, hierarchies, emergence and self-organization, and dozens of related principles are discussed, with a focus on uncertainty, risk, vulnerability, learning, strategy, resilience, collapse and sustainability. The book surveys the role of these complexity principles in the natural sciences, social theory, transdisciplinary discourse, philosophy, and ethics, and shows how this complexity framework is a valuable lens for approaching the spectre of climate change and life in the Anthropocene.
Complexity in Tsunamis, Volcanoes, and their Hazards (Encyclopedia of Complexity and Systems Science Series)
by Robert I. TillingThis volume of the Encyclopedia of Complexity and Systems Science, Second Edition is an authoritative single source for understanding and applying the basic tenets of complexity and systems theory, as well as the tools and measures for analyzing complex systems, to the prediction, monitoring, and evaluation of earthquakes, tsunamis, and volcanoes. Early warning, damage, and the immediate response of human populations to these extreme environmental events are also covered from the point of view of complexity and nonlinear systems. In authoritative, state-of-the art articles, world experts in each field apply such complexity tools and concepts as fractals, cellular automata, solitons game theory, network theory, and statistical physics to an understanding of these complex geophysical phenomena.
Composite Materials: Sustainable and Eco-Friendly Materials and Application (The Minerals, Metals & Materials Series)
by Simona E. Hunyadi Murph Brian Wisner Ioannis N. Mastorakos Muralidharan ParamsothyThis collection covers innovations in the field of composite materials with a specific focus on eco-friendly and environmentally sustainable systems. All composite fields are explored, including polymer, metal, and ceramic matrix composites with an emphasis on sourcing raw materials in a sustainable way as well as the development of composite materials for environmental sustainability. Topics will include the development of new materials for structural applications, reduction in energy consumption, and increased component life along with discussions of novel methods to reuse existing materials. Additional topics include, but are not limited to:· Naturally Sourced Materials feedstock · Recycled Material feedstock, · Application of composite for reduced carbon footprint · Development of novel materials to repurpose waste from other areas
Composite Sampling: A Novel Method to Accomplish Observational Economy in Environmental Studies (Environmental and Ecological Statistics #4)
by Sharad D. Gore Ganapati P. Patil Charles TaillieSampling consists of selection, acquisition, and quantification of a part of the population. While selection and acquisition apply to physical sampling units of the population, quantification pertains only to the variable of interest, which is a particular characteristic of the sampling units. A sampling procedure is expected to provide a sample that is representative with respect to some specified criteria. Composite sampling, under idealized conditions, incurs no loss of information for estimating the population means. But an important limitation to the method has been the loss of information on individual sample values, such as, the extremely large value. In many of the situations where individual sample values are of interest or concern, composite sampling methods can be suitably modified to retrieve the information on individual sample values that may be lost due to compositing. This book presents statistical solutions to issues that arise in the context of applications of composite sampling.
Compositional Data Analysis
by Josep Antoni Martín-Fernández Santiago Thió-HenestrosaThe authoritative contributions gathered in this volume reflect the state of the art in compositional data analysis (CoDa). The respective chapters cover all aspects of CoDa, ranging from mathematical theory, statistical methods and techniques to its broad range of applications in geochemistry, the life sciences and other disciplines. The selected and peer-reviewed papers were originally presented at the 6th International Workshop on Compositional Data Analysis, CoDaWork 2015, held in L’Escala (Girona), Spain.Compositional data is defined as vectors of positive components and constant sum, and, more generally, all those vectors representing parts of a whole which only carry relative information. Examples of compositional data can be found in many different fields such as geology, chemistry, economics, medicine, ecology and sociology. As most of the classical statistical techniques are incoherent on compositions, in the 1980s John Aitchison proposed the log-ratio approach to CoDa. This became the foundation of modern CoDa, which is now based on a specific geometric structure for the simplex, an appropriate representation of the sample space of compositional data. The International Workshops on Compositional Data Analysis offer a vital discussion forum for researchers and practitioners concerned with the statistical treatment and modelling of compositional data or other constrained data sets and the interpretation of models and their applications. The goal of the workshops is to summarize and share recent developments, and to identify important lines of future research.
Composting Inside & Out: The comprehensive guide to reusing trash, saving money and enjoying the benefits of organic gardening
by Stephanie DaviesRethink Your RefuseHundreds of millions of tons of solid waste are produced in the U. S. annually, and the landfills simply store it, not eliminate it. Recycling diverts significant amounts of waste, but the fact remains that the majority of landfill space is occupied by organic material. The good news is composting is a natural and beneficial way to eliminate this waste, and anyone can do it. Whether you live on a farm, in the suburbs or a city apartment, composting is possible. Composting Inside and Out will introduce you to the essentials and explore various methods of indoor and outdoor composting to help you find the perfect fit for your lifestyle. Inside you'll find:A compete overview of the composting processAdvice on finding the right equipmentStep-by-step instruction for fourteen different composting methodsIdeas for using the soil you produceQuick answers to common problemsWhether you create a compost heap, bury your scraps, ferment them, tumble them or feed them to the worms, you too can be successful with composting. Use the fruits of your labor on you houseplants, your lawn, your flowerbeds or your garden. Put your waste and your energy to good use. Reclaim the benefits of participating in the planet's health through composting . . . its rewards are simply miraculous.
Comprehensive Evaluation of Effective Biomass Resource Utilization and Optimal Environmental Policies (SpringerBriefs in Economics)
by Jingjing YanThis book adopts a linear optimization method and introduces a dynamic optimization simulation model for analyzing synthetic environmental policies as endogenous variables in order to improve the environment and provide more biomass energy. The model considers both the total ecological system and the socio-economic situational changes. The purpose of the research is to establish effective utilization methods for biomass resources as well as to coordinate resource reutilization, environmental conservation and economic development, and ultimately to achieve sustainable development of society. By selecting for examination a typical suburb of a major city in China (Miyun County near Beijing), the book improves the simulation model and focuses on the evaluation of water pollutant minimization based on the ecological value of Miyun Reservoir. In the simulation, the author takes into account the specific and unique characteristics of China's economy and social state in terms of sustained economic growth rate, financial subordination relations and regional environmental policies, all of which differ from the model for Japan. Beyond these innovations, the book introduces two advanced technologies from Japan and China to the study area through simulation with integrated policies, and presents a regional analysis and allocation strategy for these technologies, which have demonstrated impressive operability in practice, in light of the current conditions and limited funds in China.
Comprehensive Practice of Exploration and Evaluation Techniques in Complex Reservoirs
by Xiaodong Cheng Leyuan Fan Weikang GuThis book covers exploration and evaluation practices for various types of complex reservoirs, and summarizes a series of practical and effective techniques and methods.For example, it shows how, by integrating multiple types of new logging technology, complex reservoir petrophysics evaluation can be performed using high-precision core experiment data and quantitative logging interpretation; and demonstrates how the technology of sporopollen assemblage and palynofacies analysis can improve the time precision of sequence stratigraphy and the quantitative study level of sedimentary facies, respectively. It discusses how reservoir lateral prediction and vertical resolution can be substantially improved by integrating fracture prediction and geostatistical inversion; and presents innovative log interpretation charts for the lithological identification of metamorphic rocks, e.g. GR-DEN crossplot and Impedance-Resistivity crossplot.To support the main content, the book features a wealth of high-resolution, thin- section images, quantitative illustrations of palynofacies composition, multi-property overlapping map set and quantitative tables. It offers an essential reference guide for researchers in geological exploration and evaluation, and will also appeal to a broad readership, from engineering technicians to advanced graduate students in related areas.
Comprehensive Seismic Zonation Schemes for Regions at Different Scales
by T. G. Sitharam Sreevalsa Kolathayar Naveen JamesThis book reviews and assesses the various methodologies for site characterization and site effect estimation to carry out seismic zonation at micro and macro levels. Readers will learn about the suitability of these methodologies for each level of zoning that needs to be assessed in order to optimize the resources for carrying out seismic zonation. The Indian sub-continent is highly vulnerable to earthquake hazards, and past studies have focused primarily on the Himalayan region (inter-plate zone) and the northeast region (subduction zone). The book improves understanding of the Peninsular India that also has significantly high seismicity and is prone to earthquakes of sizeable magnitude. Particular attention is given to the various methodologies for assessing seismic hazards, the scales at which site characterizations are carried out, and optimal methods for zonation practices using site data and hazard indexes. Aimed at students, this book will be of use to post-graduates and doctoral students researching seismic zonation, hazard assessment and mitigation, and spatial data in earth sciences.
Comprehensive and Integrative Architectural Design
by Julius J. ChiavaroliComprehensive and Integrative Architectural Design addresses integrative design – design that bridges the gap between architectural design and architectural technology. With its roots in sustainability, and with the universal acceptance of data driven design, it is widely acknowledged that integrative design completed in a comprehensive way is the process that will lead to a more sustainable and responsible built environment. Organized in order of the design process itself—pre-design, schematic design, and design development—this title demonstrates and instructs how design and technology are integrated. Another important feature of the text is how it clarifies the different ways in which the collateral organizations in architecture approach the discipline. This textbook brings together all the variations of terminology and the perspective of each organization in support of creating a comprehensive and integrative architectural design. Comprehensive and Integrative Architectural Design provides architecture students and faculty a definitive resource to assist them in executing an integrative solution to an architectural project. There are literally thousands of decisions that must be made when designing a building, from pre-design to schematic design to design development. With over 150 color illustrations, this text provides a framework for both instructors and students.
Compressional Tectonics: Plate Convergence to Mountain Building (Geophysical Monograph Series)
by Ibrahim Cemen Elizabeth J. CatlosCompressional Tectonics A synthesis of current knowledge on collisional and convergent plate boundaries worldwide Major mountain belts on Earth, such as the Alps, Himalayas, and Appalachians, have been built by compressional tectonic processes during continent-continent and arc-continent collisions. Understanding their formation and evolution is important because of the hazards associated with convergent and collisional plate boundaries, and because these mountain belts contain resources such as precious metals, rare earth elements, oil, gas, and coal. Compressional Tectonics: Plate Convergence to Mountain Building reviews our present-day knowledge of the tectonic evolution of the Alpine-Himalayan and Appalachian belts. Volume highlights include: Overview of terminology relating to compressional and contractional tectonics Discussion of subduction zone dynamics Debates over the timing of the collision and convergence of particular subduction and suture zones Examples of the different stages in the development of orogenic belts This book is one of a set of three in the collection Tectonic Processes: A Global View. The American Geophysical Union promotes discovery in Earth and space science for the benefit of humanity. Its publications disseminate scientific knowledge and provide resources for researchers, students, and professionals.
Compromise Planning : A Theoretical Approach from a Distant Corner of Europe
by Louis C. WassenhovenThe purpose of the book is to elaborate a planning theory which departs from the plethora of theories which reflect the conditions of developed countries of the North-West. The empirical material of this effort is derived from a country, Greece, which sits on the edge between North-West and South-East, at the corner of Europe. No doubt, there is extensive international literature on planning theory in general from a bewildering variety of viewpoints. The interested professional or student of urban and regional planning is certainly aware of the dizzying flood of books, articles and research reports on planning theory and of their never-ending borrowing of obscure concepts from more respectable scientific disciplines, from mathematics to philosophy and from physics to economics, human geography and sociology. He or she probably observed that there is a growing interest in theoretical approaches from the viewpoint of the so-called “Global South”. The author of the present book has for many decades faced the impasse of attempting to transplant theories founded on the experience of the North-West to countries with a totally different historical, political, social and geographical background. He learned that the reality that planners face is unpredictable, patchy, and responsive to social processes, frequently of a very pedestrian nature. Planning strives to deal with private interests which planners are keen to envelop in a single “public interest”, which is extremely hard to define. The behaviour of the average citizen, far from being that of the neoclassical model of the homo economicus, is that of an individual, a kind of homo individualis, who interacts with the state and the public administration within a complex web of mutual dependence and negotiation. The state and its administrative apparatus, i.e., the key-determinants and fixers of urban and regional planning policy, bargain with this individual, offer inducements, exemptions, derogations and privileges, deviate unhesitatingly from their grand policy pronouncements, but still defend the rationality and comprehensiveness of the planning system they have legislated and operationalized. It is by and large a successful modus vivendi, but only thanks to a constant practice of compromise. Hence, the term compromise planning, which the author coined as an alternative to all the existing theoretical forms of planning. This is the sort of planning, and of the accompanying theory, with which he deals in this book. It is the outcome of experience and knowledge accumulated in a long personal journey of academic teaching in England and Greece, research, and professional involvement.
Compulsive Body Spaces (Routledge Research in Culture, Space and Identity)
by Diana N.M. BeljaarsCompulsive Body Spaces presents a spatial understanding of compulsion. Providing a compelling account of the lives of 15 people with Tourette syndrome, it demystifies the seemingly irrational, purposeless and meaningless character of this behaviour. It demonstrates how attending to the spatial circumstances under which compulsive acts, like touching, ordering, and aligning objects take place, can produce valuable novel insights that complement neuroscientific, psychiatric or psychological knowledge. By paying attention to the sensory, material, and social environment of the body during its performance of compulsive acts, the book establishes the ways in which configurations of bodies, objects, and spaces disrupt people’s lives or allow them to thrive. This collaborative, qualitative study that is based on in-depth interviews, observations, and mobile eye-tracking places the book at the forefront of a new wave of patient emancipation in medical research, and gives rise to a renewed consideration of what empathetic, context-sensitive care may look like in the 21st century. In turn, its insights give rise to a groundbreaking spatial conceptualisation of wellbeing. Considering the compulsive capacities of a broader humanity, Compulsive Body Spaces highlights the compulsive dimension in bodily spatiality, which underpins the very core theories of human life as embodied and performed. This book will be of interest to students and scholars in science and technology studies, human geography, sociology, health and social care, medical humanities, continental philosophy and disability studies.
Computation of Viscous Incompressible Flows (Scientific Computation)
by Cetin C. Kiris Dochan KwakThis monograph is intended as a concise and self-contained guide to practitioners and graduate students for applying approaches in computational fluid dynamics (CFD) to real-world problems that require a quantification of viscous incompressible flows. In various projects related to NASA missions, the authors have gained CFD expertise over many years by developing and utilizing tools especially related to viscous incompressible flows. They are looking at CFD from an engineering perspective, which is especially useful when working on real-world applications. From that point of view, CFD requires two major elements, namely methods/algorithm and engineering/physical modeling. As for the methods, CFD research has been performed with great successes. In terms of modeling/simulation, mission applications require a deeper understanding of CFD and flow physics, which has only been debated in technical conferences and to a limited scope. This monograph fills the gap by offering in-depth examples for students and engineers to get useful information on CFD for their activities. The procedural details are given with respect to particular tasks from the authors' field of research, for example simulations of liquid propellant rocket engine subsystems, turbo-pumps and the blood circulations in the human brain as well as the design of artificial heart devices. However, those examples serve as illustrations of computational and physical challenges relevant to many other fields. Unlike other books on incompressible flow simulations, no abstract mathematics are used in this book. Assuming some basic CFD knowledge, readers can easily transfer the insights gained from specific CFD applications in engineering to their area of interest.
Computational Algorithms for Shallow Water Equations
by Eleuterio F. ToroThis book is a thoroughly revised and enlarged version of “Shock-capturing methods for free-surface shallow flows", first published by Wiley and Sons, 2001. The book describes mathematically free-surface flows through partial differential equations and includes modern shock-capturing methods to solve them, with strong emphasis on finite volume upwind and centred methods. Such equations and methods are fundamental in simulating shallow water flows but also atmospheric flows, dispersion of dense gases and the dynamics of mixtures of materials. The book is accompanied by numerical software in the form of sample computer programs as supplementary material. In this new edition, additional sections have been introduced to existing chapters. Also, new chapters have been included; one contains a review of the mathematics of hyperbolic partial differential equations, another introduces the numerical analysis of partial differential equations and another one deals with advanced very-high order numerical methods in the finite volume and discontinuous Galerkin frameworks. Furthermore, comprehensive modifications and corrections have been made throughout various sections of the text, and numerous figures depicting numerical results have been enhanced. This book is primarily intended for environmental scientists, applied mathematicians and engineers in academia, research laboratories, industry and consultancy organisations. Senior undergraduate and postgraduate students involved with mathematical modelling and computational methods for environmental problems will benefit from studying this book. Lecturers could use most of the material for courses on numerical methods for wave propagation problems in hydraulics, oceanography, atmospherics and other geophysical fluid dynamics contexts.
Computational Challenges in the Geosciences (The IMA Volumes in Mathematics and its Applications #156)
by Clint Dawson Margot GerritsenComputational Challenges in the Geosciences addresses a cross-section of grand challenge problems arising in geoscience applications, including groundwater and petroleum reservoir simulation, hurricane storm surge, oceanography, volcanic eruptions and landslides, and tsunamis. ea Each of these applications gives rise to complex physical and mathematical models spanning multiple space-time scales, which can only be studied through computer simulation. ea The data required by the models is often highly uncertain, and the numerical solution of the models requires sophisticated algorithms which are mathematically accurate, computationally efficient and yet must preserve basic physical properties of the models. ea This volume summarizes current methodologies and future research challenges in this broad and important field. ea"
Computational Electromagnetics and Model-Based Inversion: A Modern Paradigm for Eddy-Current Nondestructive Evaluation (Scientific Computation)
by Elias H. Sabbagh Harold A Sabbagh Jeremy S Knopp John C. Aldrin R. Kim MurphyThis volume will define the direction of eddy-current technology in nondestructive evaluation (NDE) in the twenty-first century. It describes the natural marriage of the computer to eddy-current NDE, and its publication was encouraged by favorable responses from workers in the nuclear-power and aerospace industries. It will be used by advanced students and practitioners in the fields of computational electromagnetics, electromagnetic inverse-scattering theory, nondestructive evaluation, materials evaluation and biomedical imaging, among others, and will be based on our experience in applying the subject of computational electromagnetics to these areas, as manifested by our recent research and publications. Finally, it will be a reference to future monographs on advanced NDE that are being contemplated by our colleagues and others. Its importance lies in the fact that it will be the first book to show that advanced computational methods can be used to solve practical, but difficult, problems in eddy-current NDE. In fact, in many cases these methods are the only things available for solving the problems. The book will cover the topic of computational electromagnetics in eddy-current nondestructive evaluation (NDE) by emphasizing three distinct topics: (a) fundamental mathematical principles of volume-integral equations as a subset of computational electromagnetics, (b) mathematical algorithms applied to signal-processing and inverse scattering problems, and (c) applications of these two topics to problems in which real and model data are used. This will make the book more than an academic exercise; we expect it to be valuable to users of eddy-current NDE technology in industries as varied as nuclear power, aerospace, materials characterization and biomedical imaging. We know of no other book on the market that covers this material in the manner in which we will present it, nor are there any books, to our knowledge, that apply this material to actual test situations that are of importance to the industries cited. It will be the first book to actually define the modern technology of eddy-current NDE, by showing how mathematics and the computer will solve problems more effectively than current analog practice.
Computational Electromagnetics: Recent Advances and Engineering Applications (Ieee Press Series On Electromagnetic Wave Theory Ser. #Vol. 4)
by Raj MittraEmerging Topics in Computational Electromagnetics in Computational Electromagnetics presents advances in Computational Electromagnetics. This book is designed to fill the existing gap in current CEM literature that only cover the conventional numerical techniques for solving traditional EM problems. The book examines new algorithms, and applications of these algorithms for solving problems of current interest that are not readily amenable to efficient treatment by using the existing techniques. The authors discuss solution techniques for problems arising in nanotechnology, bioEM, metamaterials, as well as multiscale problems. They present techniques that utilize recent advances in computer technology, such as parallel architectures, and the increasing need to solve large and complex problems in a time efficient manner by using highly scalable algorithms.
Computational Fluid Dynamics: Finite Difference Method and Lattice Boltzmann Method (Engineering Applications of Computational Methods #20)
by Yuan Gao Kai Wang Guoxiang Hou Caikan Chen Shenglei QinThis book provides a concise and comprehensive introduction to several basic methods with more attention to their theoretical basis and applications in fluid dynamics. Furthermore, some new ideas are presented in this book, for example, a method to solve the transition matrix by difference operator transformation. For this method, the book gives the definition of Fourier integral transformation of translation operator, and proves the transition matrix equaling to the differential operator transformation, so that it is extended to general situations of explicit, implicit, multi-layer difference equations, etc. This flexible approach is also used in the differential part. In addition, the book also includes six types of equivalent stability definitions in two ways and deeply analyzes their errors, stabilities and convergences of the difference equations. What is more important, some new scientific contributions on lattice Boltzmann method (LBM) in recent years are presented in the book as well. The authors write the book combining their ten years teaching experience and research results and this book is intended for graduate students who are interested in the area of computational fluid dynamics (CFD). Authors list some new research achievements, such as simplified lattice Boltzmann method, the simplified lattice Boltzmann flux solver and discrete unified gas kinetic scheme, and expect that this new information could give readers possible further investigating ideas in their future research on CFD area.