finite volume method

Finite Volume Methods for the Incompressible Navier Stokes Equations【電子書籍】 Jian LiFinite Volumes for Complex Applications VII-Methods and Theoretical Aspects FVCA 7, Berlin, June 2014【電子書籍】Numerical Methods for Partial Differential Equations Finite Difference and Finite Volume Methods【電子書籍】 Sandip MazumderFinite Volume Methods for Hyperbolic Problems【電子書籍】 Randall J. LeVequeNumerical Methods for Partial Differential Equations Finite Difference and Finite Volume Methods【電子書籍】 Sandip MazumderFinite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples FVCA 9, Bergen, Norway, June 2020【電子書籍】Fundamentals of Computational Fluid Dynamics: The Finite Volume Method FUNDAMENTALS OF COMPUTATIONAL (Fluid Mechanics and Its Applications) Clovis R. MaliskaFundamentals of Computational Fluid Dynamics The Finite Volume Method【電子書籍】 Clovis R. MaliskaFinite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics【電子書籍】 J. N. ReddyHydrothermal Analysis in Engineering Using Control Volume Finite Element Method【電子書籍】 Mohsen SheikholeslamiApplication of Control Volume Based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer【電子書籍】 Mohsen SheikholeslamiThe Fitted Finite Volume and Power Penalty Methods for Option Pricing【電子書籍】 Song WangThe Finite Volume Method in Computational Fluid Dynamics An Advanced Introduction with OpenFOAM and Matlab【電子書籍】 F. MoukalledSolving Hyperbolic Equations with Finite Volume Methods【電子書籍】 M. Elena V zquez-Cend nAdvancement of Shock Capturing Computational Fluid Dynamics Methods Numerical Flux Functions in Finite Volume Method【電子書籍】 Keiichi KitamuraFinite Volumes for Complex Applications VIII - Methods and Theoretical Aspects FVCA 8, Lille, France, June 2017【電子書籍】Computational Methods in Engineering Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods【電子書籍】 J.N. Reddy
 

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  • <p>The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods.</p> <p>The authors have attempted to make this book self-contained by offering complete proofs and theoretical results. While most of the material presented has been taught by the authors in a number of institutions over the past several years, they also include several updated theoretical results for the finite volume methods for the incompressible Navier-Stokes equations.</p> <p>This book is primarily developed to address research needs for students and academic and industrial researchers. It is particularly valuable as a research reference in the fieldsof engineerin...
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  • <p>The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Altogether, a rather comprehensive overview is given of the state of the art in the field.</p> <p>The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, mon...
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  • <p><em>Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods</em> focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow.</p> <p>For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful.</p> <p>The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational...
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  • <p>This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source cod...
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    商品の説明

  • <p><em>Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods</em> focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow.</p> <p>For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful.</p> <p>The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational...
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  • <p>The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of fini...
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  • FUNDAMENTALS OF COMPUTATIONAL Fluid Mechanics and Its Applications Clovis R. Maliska SPRINGER NATURE2024 Paperback 2023 English ISBN:9783031182372 洋書 Computers & Science(コンピューター&科学) Technology
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  • <p>This book presents the developments of the finite volume method applied to fluid flows, starting from the foundations of the method and reaching the latest approaches using unstructured grids. It helps students learn progressively, creating a strong background on CFD. The text is divided into two parts. The first one is about the basic concepts of the finite volume method, while the second one presents the formulation of the finite volume method for any kind of domain discretization. In the first part of the text, for the sake of simplicity, the developments are done using the Cartesian coordinate system, without prejudice to the complete understanding. The second part extends this knowledge to curvilinear and unstructured grids. As such, the book contains material for introductory courses on CFD for under and graduate students, as well as for more advanced students and researchers.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いし...
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  • <p>Introduces the two most common numerical methods for heat transfer and fluid dynamics equations, using clear and accessible language. This unique approach covers all necessary mathematical preliminaries at the beginning of the book for the reader to sail smoothly through the chapters. Students will work step-by-step through the most common benchmark heat transfer and fluid dynamics problems, firmly grounding themselves in how the governing equations are discretized, how boundary conditions are imposed, and how the resulting algebraic equations are solved. Providing a detailed discussion of the discretization steps and time approximations, and clearly presenting concepts of explicit and implicit formulations, this graduate textbook has everything an instructor needs to prepare students for their exams and future careers. Each illustrative example shows students how to draw comparisons between the results obtained using the two numerical methods, and at the end of each chapter th...
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  • <p>Control volume finite element methods (CVFEM) bridge the gap between finite difference and finite element methods, using the advantages of both methods for simulation of multi-physics problems in complex geometries. In <em>Hydrothermal Analysis in Engineering Using Control Volume Finite Element Method</em>, CVFEM is covered in detail and applied to key areas of thermal engineering. Examples, exercises, and extensive references are used to show the use of the technique to model key engineering problems such as heat transfer in nanofluids (to enhance performance and compactness of energy systems), hydro-magnetic techniques in materials and bioengineering, and convective flow in fluid-saturated porous media. The topics are of practical interest to engineering, geothermal science, and medical and biomedical sciences.</p> <ul> <li>Introduces a detailed explanation of Control Volume Finite Element Method (CVFEM) to provide for a complete understanding of the fundamentals</...
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  • <p><em>Application of Control Volume Based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer</em> discusses this powerful numerical method that uses the advantages of both finite volume and finite element methods for the simulation of multi-physics problems in complex geometries, along with its applications in heat transfer and nanofluid flow. The book applies these methods to solve various applications of nanofluid in heat transfer enhancement. Topics covered include magnetohydrodynamic flow, electrohydrodynamic flow and heat transfer, melting heat transfer, and nanofluid flow in porous media, all of which are demonstrated with case studies.</p> <p>This is an important research reference that will help readers understand the principles and applications of this novel method for the analysis of nanofluid behavior in a range of external forces.</p> <ul> <li>Explains governing equations for nanofluid as working fluid</li> <li>Includes several CVFEM ...
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  • <p>This book contains mostly the author’s up-to-date research results in the area. Option pricing has attracted much attention in the past decade from applied mathematicians, statisticians, practitioners and educators. Many partial differential equation-based theoretical models have been developed for valuing various options. These models do not have any practical use unless their solutions can be found. However, most of these models are far too complex to solve analytically and numerical approximations have to be sought in practice.</p> <p>The contents of the book consist of three parts: (i) basic theory of stochastic control and formulation of various option pricing models, (ii) design of finite volume, finite difference and penalty-based algorithms for solving the models and (iii) stability and convergence analysis of the algorithms. It also contains extensive numerical experiments demonstrating how these algorithms perform for practical problems. The theoretical and numeri...
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  • <p>This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM?, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems.</p> <p>With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on num...
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  • <p>Finite volume methods are used in numerous applications and by a broad multidisciplinary scientific community. The book communicates this important tool to students, researchers in training and academics involved in the training of students in different science and technology fields. The selection of content is based on the author’s experience giving PhD and master courses in different universities. In the book the introduction of new concepts and numerical methods go together with simple exercises, examples and applications that contribute to reinforce them. In addition, some of them involve the execution of MATLAB codes. The author promotes an understanding of common terminology with a balance between mathematical rigor and physical intuition that characterizes the origin of the methods. This book aims to be a first contact with finite volume methods. Once readers have studied it, they will be able to follow more specific bibliographical references and use commercial programs...
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  • <p>This book offers a compact primer on advanced numerical flux functions in computational fluid dynamics (CFD). It comprehensively introduces readers to methods used at the forefront of compressible flow simulation research. Further, it provides a comparative evaluation of the methods discussed, helping readers select the best numerical flux function for their specific needs.</p> <p>The first two chapters of the book reviews finite volume methods and numerical functions, before discussing issues commonly encountered in connection with each. The third and fourth chapter, respectively, address numerical flux functions for ideal gases and more complex fluid flow casesー multiphase flows, supercritical fluids and magnetohydrodynamics. In closing, the book highlights methods that provide high levels of accuracy.</p> <p>The concise content provides an overview of recent advances in CFD methods for shockwaves. Further, it presents the author’s insights into the advantages and di...
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    商品の説明

  • <p>This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier?Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field.</p> <p>The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitat...
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    商品の説明

  • <p><em>Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods</em> provides readers with the information necessary to choose appropriate numerical methods to solve a variety of engineering problems. Explaining common numerical methods in an accessible yet rigorous manner, the book details the finite element method (FEM), finite volume method (FVM) and importantly, a new numerical approach, dual mesh control domain method (DMCDM).</p> <p>Numerical methods are crucial to everyday engineering. The book begins by introducing the various methods and their applications, with example problems from a range of engineering disciplines including heat transfer, solid and structural mechanics, and fluid mechanics. It highlights the strengths of FEM, with its systematic procedure and modular steps, and then goes on to explain the uses of FVM. It explains how DMCDM embodies useful parts of both FEM and FVM, particularl...
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