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Título : Computational Fluid Dynamics Based on the Unified Coordinates Tipo de documento: documento electrónico Autores: Hui, Wai-How ; SpringerLink (Online service) ; Xu, Kun Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2012 Otro editor: Imprint: Springer Número de páginas: IX, 189 p. 75 illus., 10 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-25896-1 Idioma : Inglés (eng) Palabras clave: Mathematics Numerical analysis Computer mathematics Physics Fluids Computational and Analysis Numeric Computing Theoretical, Mathematical Fluid- Aerodynamics Clasificación: 51 Matemáticas Resumen: "Computational Fluid Dynamics Based on the Unified Coordinates" reviews the relative advantages and drawbacks of Eulerian and Lagrangian coordinates as well as the Arbitrary Lagrangian-Eulerian (ALE) and various moving mesh methods in Computational Fluid Dynamics (CFD) for one- and multi-dimensional flows. It then systematically introduces the unified coordinate approach to CFD, illustrated with numerous examples and comparisons to clarify its relation with existing approaches. The book is intended for researchers and practitioners in the field of Computational Fluid Dynamics. Emeritus Professor Wai-Hou Hui and Professor Kun Xu both work at the Department of Mathematics of the Hong Kong University of Science & Technology, China Nota de contenido: Derivation of Conservation Law Equations -- Review of Eulerian Computation for One-dimensional Flow -- One-Dimensional Flow Computation Using the Unified Coordinates -- Comments on Current Methods for Multi-Dimensional Flow Computation -- The Unified Coordinates Formulation of CFD -- Properties of the Unified Coordinates -- Lagrangian Gas Dynamics -- Steady 2-D and 3-D Supersonic Flow -- Unsteady 2-D and 3-D Flow Computation -- Viscous Flow Computation -- Applications of the Unified Coordinates to Kinetic Theory En línea: http://dx.doi.org/10.1007/978-3-642-25896-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32963 Computational Fluid Dynamics Based on the Unified Coordinates [documento electrónico] / Hui, Wai-How ; SpringerLink (Online service) ; Xu, Kun . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012 . - IX, 189 p. 75 illus., 10 illus. in color : online resource.
ISBN : 978-3-642-25896-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Numerical analysis Computer mathematics Physics Fluids Computational and Analysis Numeric Computing Theoretical, Mathematical Fluid- Aerodynamics Clasificación: 51 Matemáticas Resumen: "Computational Fluid Dynamics Based on the Unified Coordinates" reviews the relative advantages and drawbacks of Eulerian and Lagrangian coordinates as well as the Arbitrary Lagrangian-Eulerian (ALE) and various moving mesh methods in Computational Fluid Dynamics (CFD) for one- and multi-dimensional flows. It then systematically introduces the unified coordinate approach to CFD, illustrated with numerous examples and comparisons to clarify its relation with existing approaches. The book is intended for researchers and practitioners in the field of Computational Fluid Dynamics. Emeritus Professor Wai-Hou Hui and Professor Kun Xu both work at the Department of Mathematics of the Hong Kong University of Science & Technology, China Nota de contenido: Derivation of Conservation Law Equations -- Review of Eulerian Computation for One-dimensional Flow -- One-Dimensional Flow Computation Using the Unified Coordinates -- Comments on Current Methods for Multi-Dimensional Flow Computation -- The Unified Coordinates Formulation of CFD -- Properties of the Unified Coordinates -- Lagrangian Gas Dynamics -- Steady 2-D and 3-D Supersonic Flow -- Unsteady 2-D and 3-D Flow Computation -- Viscous Flow Computation -- Applications of the Unified Coordinates to Kinetic Theory En línea: http://dx.doi.org/10.1007/978-3-642-25896-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32963 Ejemplares
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Título : Parallel Computational Fluid Dynamics 2007 : Implementations and Experiences on Large Scale and Grid Computing Tipo de documento: documento electrónico Autores: SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2009 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 67 Número de páginas: XII, 488 p. 333 illus., 197 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-540-92744-0 Idioma : Inglés (eng) Palabras clave: Mathematics Computer mathematics Physics Fluids Applied Engineering Computational and Numerical Analysis Science Appl.Mathematics/Computational Methods of Fluid- Aerodynamics Theoretical, Mathematical Clasificación: 51 Matemáticas Resumen: At the 19th Annual Conference on Parallel Computational Fluid Dynamics held in Antalya, Turkey, in May 2007, the most recent developments and implementations of large-scale and grid computing were presented. This book, comprised of the invited and selected papers of this conference, details those advances, which are of particular interest to CFD and CFD-related communities. It also offers the results related to applications of various scientific and engineering problems involving flows and flow-related topics. Intended for CFD researchers and graduate students, this book is a state-of-the-art presentation of the relevant methodology and implementation techniques of large-scale computing Nota de contenido: Numerical Simulation of a Spinning Projectile Using Parallel and Vectorized Unstructured Flow Solver -- Development of a framework for parallel simulators with various physics and its performance -- Experience in Parallel Computational Mechanics on MareNostrum -- New approaches to modeling rarefied gas flow in the slip and transition regime -- A parallel scientific software for heterogeneous hydrogeoloy -- Aerodynamic Shape Optimization Methods on Multiprocessor Platforms -- Non-Sinusoidal Path Optimization of Dual Airfoils Flapping in a Biplane Configuration -- Parallel Computation of 3-D Viscous Flows on Hybrid Grids -- Implementation of parallel DSMC method to adiabatic piston problem -- Efficient Parallel Algoritm for multiconstrained of wing body configurations -- Parallel Three Dimensional Direct Simulation Monte Carlo for Simulating Micro Flows -- A Study on the Prediction of the Aerodynamic Characteristics of an Orbital Block of a Launch Vehicle in the Rarefied Flow Regime Using the DSMC Approach and the Parallel Computation -- Parallel Solution of a 3-D Mixed Convection Problem -- Computation of Hypersonic Flow of a Diatomic Gas in Rotational Non-Equilibrium past a Blunt Body Using the Generalized Boltzmann Equation -- Application of Parallel Processing to Numerical Modeling of Two-Phase Deflagration-to-Detonation (DDT) Phenomenon -- Highly Scalable Multiphysics Computational Framework for Propulsive Energetic Systems -- A Parallel Aitken-Additive Schwarz Waveform Relaxation Method for Parabolic Problems -- Parallel Computation of Incompressible Flows Driven by Moving Multiple Obstacles Using a New Moving Embedded-Grid Method -- Parallel Computing on Network of Windows Based PCs -- Parallel computations of droplet oscillations -- Cyclic Distribution of Pipelined Parallel Deferred Correction method for ODE/DAE -- Hybrid Parallelization Techniques for Lattice Boltzmann Free Surface Flows -- Flow-structure interaction and flow analysis of hydraulic machinery on a computational grid -- Parallel Computation of Incompressible Flow Using Building-Cube Method -- 3D Model of pollution distribution in city air and its parallel realization -- PARALLEL NAVIER-STOKES SOLUTIONS OF A WING-FLAP CONFIGURATION ON STRUCTURED MULTI-BLOCK OVERSETTING GRIDS -- PARALLEL NAVIER-STOKES SOLUTIONS OF NASA 65° DELTA-WING -- PARALLEL TURBULENT NAVIER-STOKES SOLUTIONS OF WING ALONE GEOMETRIES FOR DRAG PREDICTION -- Adaptive Aitken-Schwarz for Darcy 3D °ow on heterogeneous media -- Numerical Simulation of Compressible Flow using Three-Dimensional Unstructured Added/Eliminated Grid Method -- Technology of parallelization for 2D and 3D CFD/CAA codes based on high-accuracy explicit methods on unstructured meshes -- Separate treatment of momentum and heat flows in parallel environment -- DNS of Turbulent Natural Convection Flows on the MareNostrum supercomputer -- TermoFluids: A new Parallel unstructured CFD code for the simulation of turbulent industrial problems on low cost PC Cluster -- Schur Complement Methods for the solution of Poisson equation with unstructured meshes -- Blood Flow Simulation in Cerebral Aneurysm: A Lattice Boltzmann Application in Medical Physics -- Unsteady Navier Stokes Solutions of Low Aspect Ratio Rectangular Flat Wings in Compressible Flow -- Case studies of solving large-scale CFD problems by means of the GasDynamicsTool software package -- Direct Monte Carlo Simulation of low-speed flows -- Parallel computing of 3D separated stratified fluid flows around a sphere -- C(p, q, j) Scheme with Adaptive time step and Asynchronous Communications -- Parallel Coupling of Heterogeneous Domains with KOP3D using PACX-MPI -- Numerical simulation of 3D turbulent flows around bodies subjected to vortex-induced and forced vibration -- Parallel simulation of type IIa supernovae explosions using a simplified physical model -- A Fast Parallel Blood Flow Simulator -- Parallel simulation of flows in porous media using adaptive locally-refined meshes -- Performance Evaluation of Two Parallel, Direct Sparse Solvers for an Aeroacoustic Propagation Model -- Three Dimensional Smoke Simulation on Programmable Graphics Hardware -- An Approach for Parallel CFD Solutions of Store Separation Problems -- Hybrid Parallelism for CFD Simulations: Combining MPI with OpenMP -- Impact of the TeraGrid on Large-Scale Simulations and Visualizations -- Parallel CFD Simulations of Unsteady Control Maneuver Aerodynamics -- Parallel solution of flows with high velocity and/or enthalpy gradients -- Numerical Simulation of Transonic Flows by a Flexible and Parallel Evolutionary Computation -- Prediction of Ballistic Separation Effect by Direct Calculation of Incremental Coefficients -- Parallel Implementation of a Gas-Kinetic BGK Method on Unstructured Grids for 3-D Inviscid Missile Flows -- 3-D Time-Accurate Inviscid and Viscous CFD Simulations of Wind Turbine Rotor Flow Fields -- Modeling a Web Service-Based Decentralized Parallel Programming Environment -- Computation of unsteady hovering flapping motion in parallel environment En línea: http://dx.doi.org/10.1007/978-3-540-92744-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34050 Parallel Computational Fluid Dynamics 2007 : Implementations and Experiences on Large Scale and Grid Computing [documento electrónico] / SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009 . - XII, 488 p. 333 illus., 197 illus. in color : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 67) .
ISBN : 978-3-540-92744-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer mathematics Physics Fluids Applied Engineering Computational and Numerical Analysis Science Appl.Mathematics/Computational Methods of Fluid- Aerodynamics Theoretical, Mathematical Clasificación: 51 Matemáticas Resumen: At the 19th Annual Conference on Parallel Computational Fluid Dynamics held in Antalya, Turkey, in May 2007, the most recent developments and implementations of large-scale and grid computing were presented. This book, comprised of the invited and selected papers of this conference, details those advances, which are of particular interest to CFD and CFD-related communities. It also offers the results related to applications of various scientific and engineering problems involving flows and flow-related topics. Intended for CFD researchers and graduate students, this book is a state-of-the-art presentation of the relevant methodology and implementation techniques of large-scale computing Nota de contenido: Numerical Simulation of a Spinning Projectile Using Parallel and Vectorized Unstructured Flow Solver -- Development of a framework for parallel simulators with various physics and its performance -- Experience in Parallel Computational Mechanics on MareNostrum -- New approaches to modeling rarefied gas flow in the slip and transition regime -- A parallel scientific software for heterogeneous hydrogeoloy -- Aerodynamic Shape Optimization Methods on Multiprocessor Platforms -- Non-Sinusoidal Path Optimization of Dual Airfoils Flapping in a Biplane Configuration -- Parallel Computation of 3-D Viscous Flows on Hybrid Grids -- Implementation of parallel DSMC method to adiabatic piston problem -- Efficient Parallel Algoritm for multiconstrained of wing body configurations -- Parallel Three Dimensional Direct Simulation Monte Carlo for Simulating Micro Flows -- A Study on the Prediction of the Aerodynamic Characteristics of an Orbital Block of a Launch Vehicle in the Rarefied Flow Regime Using the DSMC Approach and the Parallel Computation -- Parallel Solution of a 3-D Mixed Convection Problem -- Computation of Hypersonic Flow of a Diatomic Gas in Rotational Non-Equilibrium past a Blunt Body Using the Generalized Boltzmann Equation -- Application of Parallel Processing to Numerical Modeling of Two-Phase Deflagration-to-Detonation (DDT) Phenomenon -- Highly Scalable Multiphysics Computational Framework for Propulsive Energetic Systems -- A Parallel Aitken-Additive Schwarz Waveform Relaxation Method for Parabolic Problems -- Parallel Computation of Incompressible Flows Driven by Moving Multiple Obstacles Using a New Moving Embedded-Grid Method -- Parallel Computing on Network of Windows Based PCs -- Parallel computations of droplet oscillations -- Cyclic Distribution of Pipelined Parallel Deferred Correction method for ODE/DAE -- Hybrid Parallelization Techniques for Lattice Boltzmann Free Surface Flows -- Flow-structure interaction and flow analysis of hydraulic machinery on a computational grid -- Parallel Computation of Incompressible Flow Using Building-Cube Method -- 3D Model of pollution distribution in city air and its parallel realization -- PARALLEL NAVIER-STOKES SOLUTIONS OF A WING-FLAP CONFIGURATION ON STRUCTURED MULTI-BLOCK OVERSETTING GRIDS -- PARALLEL NAVIER-STOKES SOLUTIONS OF NASA 65° DELTA-WING -- PARALLEL TURBULENT NAVIER-STOKES SOLUTIONS OF WING ALONE GEOMETRIES FOR DRAG PREDICTION -- Adaptive Aitken-Schwarz for Darcy 3D °ow on heterogeneous media -- Numerical Simulation of Compressible Flow using Three-Dimensional Unstructured Added/Eliminated Grid Method -- Technology of parallelization for 2D and 3D CFD/CAA codes based on high-accuracy explicit methods on unstructured meshes -- Separate treatment of momentum and heat flows in parallel environment -- DNS of Turbulent Natural Convection Flows on the MareNostrum supercomputer -- TermoFluids: A new Parallel unstructured CFD code for the simulation of turbulent industrial problems on low cost PC Cluster -- Schur Complement Methods for the solution of Poisson equation with unstructured meshes -- Blood Flow Simulation in Cerebral Aneurysm: A Lattice Boltzmann Application in Medical Physics -- Unsteady Navier Stokes Solutions of Low Aspect Ratio Rectangular Flat Wings in Compressible Flow -- Case studies of solving large-scale CFD problems by means of the GasDynamicsTool software package -- Direct Monte Carlo Simulation of low-speed flows -- Parallel computing of 3D separated stratified fluid flows around a sphere -- C(p, q, j) Scheme with Adaptive time step and Asynchronous Communications -- Parallel Coupling of Heterogeneous Domains with KOP3D using PACX-MPI -- Numerical simulation of 3D turbulent flows around bodies subjected to vortex-induced and forced vibration -- Parallel simulation of type IIa supernovae explosions using a simplified physical model -- A Fast Parallel Blood Flow Simulator -- Parallel simulation of flows in porous media using adaptive locally-refined meshes -- Performance Evaluation of Two Parallel, Direct Sparse Solvers for an Aeroacoustic Propagation Model -- Three Dimensional Smoke Simulation on Programmable Graphics Hardware -- An Approach for Parallel CFD Solutions of Store Separation Problems -- Hybrid Parallelism for CFD Simulations: Combining MPI with OpenMP -- Impact of the TeraGrid on Large-Scale Simulations and Visualizations -- Parallel CFD Simulations of Unsteady Control Maneuver Aerodynamics -- Parallel solution of flows with high velocity and/or enthalpy gradients -- Numerical Simulation of Transonic Flows by a Flexible and Parallel Evolutionary Computation -- Prediction of Ballistic Separation Effect by Direct Calculation of Incremental Coefficients -- Parallel Implementation of a Gas-Kinetic BGK Method on Unstructured Grids for 3-D Inviscid Missile Flows -- 3-D Time-Accurate Inviscid and Viscous CFD Simulations of Wind Turbine Rotor Flow Fields -- Modeling a Web Service-Based Decentralized Parallel Programming Environment -- Computation of unsteady hovering flapping motion in parallel environment En línea: http://dx.doi.org/10.1007/978-3-540-92744-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34050 Ejemplares
Signatura Medio Ubicación Sección Estado ningún ejemplar Parallel Computational Fluid Dynamics 2008 / SpringerLink (Online service) ; Tromeur-Dervout, Damien ; Brenner, Gunther ; Emerson, David R ; Erhel, Jocelyne (2010)
Título : Parallel Computational Fluid Dynamics 2008 : Parallel Numerical Methods, Software Development and Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Tromeur-Dervout, Damien ; Brenner, Gunther ; Emerson, David R ; Erhel, Jocelyne Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2010 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 74 Número de páginas: XIV, 438 p. 233 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-14438-7 Idioma : Inglés (eng) Palabras clave: Physics Computer-aided engineering Computer mathematics Continuum physics Fluids Applied Engineering Classical Appl.Mathematics/Computational Methods of Computer-Aided (CAD, CAE) and Design Computational Science Fluid- Aerodynamics Theoretical, Mathematical Clasificación: 51 Matemáticas Resumen: This book collects the proceedings of the Parallel Computational Fluid Dynamics 2008 conference held in Lyon, France. Contributed papers by over 40 researchers representing the state of the art in parallel CFD and architecture from Asia, Europe, and North America examine major developments in (1) block-structured grid and boundary methods to simulate flows over moving bodies, (2) specific methods for optimization in Aerodynamics Design, (3) innovative parallel algorithms and numerical solvers, such as scalable algebraic multilevel preconditioners and the acceleration of iterative solutions, (4) software frameworks and component architectures for parallelism, (5) large scale computing and parallel efficiencies in the industrial context, (6) lattice Boltzmann and SPH methods, and (7) applications in the environment, biofluids, and nuclear engineering En línea: http://dx.doi.org/10.1007/978-3-642-14438-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33770 Parallel Computational Fluid Dynamics 2008 : Parallel Numerical Methods, Software Development and Applications [documento electrónico] / SpringerLink (Online service) ; Tromeur-Dervout, Damien ; Brenner, Gunther ; Emerson, David R ; Erhel, Jocelyne . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2010 . - XIV, 438 p. 233 illus : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 74) .
ISBN : 978-3-642-14438-7
Idioma : Inglés (eng)
Palabras clave: Physics Computer-aided engineering Computer mathematics Continuum physics Fluids Applied Engineering Classical Appl.Mathematics/Computational Methods of Computer-Aided (CAD, CAE) and Design Computational Science Fluid- Aerodynamics Theoretical, Mathematical Clasificación: 51 Matemáticas Resumen: This book collects the proceedings of the Parallel Computational Fluid Dynamics 2008 conference held in Lyon, France. Contributed papers by over 40 researchers representing the state of the art in parallel CFD and architecture from Asia, Europe, and North America examine major developments in (1) block-structured grid and boundary methods to simulate flows over moving bodies, (2) specific methods for optimization in Aerodynamics Design, (3) innovative parallel algorithms and numerical solvers, such as scalable algebraic multilevel preconditioners and the acceleration of iterative solutions, (4) software frameworks and component architectures for parallelism, (5) large scale computing and parallel efficiencies in the industrial context, (6) lattice Boltzmann and SPH methods, and (7) applications in the environment, biofluids, and nuclear engineering En línea: http://dx.doi.org/10.1007/978-3-642-14438-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33770 Ejemplares
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Título : Spectral Methods : Evolution to Complex Geometries and Applications to Fluid Dynamics Tipo de documento: documento electrónico Autores: Canuto, Claudio ; SpringerLink (Online service) ; Quarteroni, Alfio ; Hussaini, M. Yousuff ; Zang, Thomas A Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2007 Colección: Scientific Computation, ISSN 1434-8322 Número de páginas: XXX, 596 p Il.: online resource ISBN/ISSN/DL: 978-3-540-30728-0 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Computer mathematics Physics Fluids Fluid mechanics Analysis Computational and Numerical Fluid- Aerodynamics Engineering Dynamics Mathematical Methods in Clasificación: 51 Matemáticas Resumen: Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of their 1988 book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since then. This second new treatment, Evolution to Complex Geometries and Applications to Fluid Dynamics, provides an extensive overview of the essential algorithmic and theoretical aspects of spectral methods for complex geometries, in addition to detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries. Modern strategies for constructing spectral approximations in complex domains, such as spectral elements, mortar elements, and discontinuous Galerkin methods, as well as patching collocation, are introduced, analyzed, and demonstrated by means of numerous numerical examples. Representative simulations from continuum mechanics are also shown. Efficient domain decomposition preconditioners (of both Schwarz and Schur type) that are amenable to parallel implementation are surveyed. The discussion of spectral algorithms for fluid dynamics in single domains focuses on proven algorithms for the boundary-layer equations, linear and nonlinear stability analyses, incompressible Navier-Stokes problems, and both inviscid and viscous compressible flows. An overview of the modern approach to computing incompressible flows in general geometries using high-order, spectral discretizations is also provided. The recent companion book Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The essential concepts and formulas from this book are included in the current text for the reader’s convenience Nota de contenido: Fundamentals of Fluid Dynamics -- Single-Domain Algorithms and Applications for Stability Analysis -- Single-Domain Algorithms and Applications for Incompressible Flows -- Single-Domain Algorithms and Applications for Compressible Flows -- Discretization Strategies for Spectral Methods in Complex Domains -- Solution Strategies for Spectral Methods in Complex Domains -- General Algorithms for Incompressible Navier-Stokes Equations -- Spectral Methods Primer En línea: http://dx.doi.org/10.1007/978-3-540-30728-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34597 Spectral Methods : Evolution to Complex Geometries and Applications to Fluid Dynamics [documento electrónico] / Canuto, Claudio ; SpringerLink (Online service) ; Quarteroni, Alfio ; Hussaini, M. Yousuff ; Zang, Thomas A . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2007 . - XXX, 596 p : online resource. - (Scientific Computation, ISSN 1434-8322) .
ISBN : 978-3-540-30728-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Computer mathematics Physics Fluids Fluid mechanics Analysis Computational and Numerical Fluid- Aerodynamics Engineering Dynamics Mathematical Methods in Clasificación: 51 Matemáticas Resumen: Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of their 1988 book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since then. This second new treatment, Evolution to Complex Geometries and Applications to Fluid Dynamics, provides an extensive overview of the essential algorithmic and theoretical aspects of spectral methods for complex geometries, in addition to detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries. Modern strategies for constructing spectral approximations in complex domains, such as spectral elements, mortar elements, and discontinuous Galerkin methods, as well as patching collocation, are introduced, analyzed, and demonstrated by means of numerous numerical examples. Representative simulations from continuum mechanics are also shown. Efficient domain decomposition preconditioners (of both Schwarz and Schur type) that are amenable to parallel implementation are surveyed. The discussion of spectral algorithms for fluid dynamics in single domains focuses on proven algorithms for the boundary-layer equations, linear and nonlinear stability analyses, incompressible Navier-Stokes problems, and both inviscid and viscous compressible flows. An overview of the modern approach to computing incompressible flows in general geometries using high-order, spectral discretizations is also provided. The recent companion book Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The essential concepts and formulas from this book are included in the current text for the reader’s convenience Nota de contenido: Fundamentals of Fluid Dynamics -- Single-Domain Algorithms and Applications for Stability Analysis -- Single-Domain Algorithms and Applications for Incompressible Flows -- Single-Domain Algorithms and Applications for Compressible Flows -- Discretization Strategies for Spectral Methods in Complex Domains -- Solution Strategies for Spectral Methods in Complex Domains -- General Algorithms for Incompressible Navier-Stokes Equations -- Spectral Methods Primer En línea: http://dx.doi.org/10.1007/978-3-540-30728-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34597 Ejemplares
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Título : Classical Mechanics with Mathematica® Tipo de documento: documento electrónico Autores: Romano, Antonio ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2012 Otro editor: Imprint: Birkhäuser Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XIV, 506 p. 127 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8352-8 Idioma : Inglés (eng) Palabras clave: Mathematics Differential geometry Mathematical physics Physics Mechanics Fluids Continuum mechanics Geometry Fluid- and Aerodynamics of Materials Methods in Clasificación: 51 Matemáticas Resumen: This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also painting a clear picture of the most modern developments. Throughout, it makes heavy use of the powerful tools offered by Mathematica® . The volume is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. With a unique selection of topics and a large array of exercises to reinforce concepts, Classical Mechanics with Mathematica is an excellent resource for graduate students in physics. It can also serve as a reference for researchers wishing to gain a deeper understanding of both classical and modern mechanics Nota de contenido: I Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus -- 10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics -- A First-Order PDE.- B Fourier’s Series.- References.- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8352-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32705 Classical Mechanics with Mathematica® [documento electrónico] / Romano, Antonio ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012 . - XIV, 506 p. 127 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-8352-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential geometry Mathematical physics Physics Mechanics Fluids Continuum mechanics Geometry Fluid- and Aerodynamics of Materials Methods in Clasificación: 51 Matemáticas Resumen: This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also painting a clear picture of the most modern developments. Throughout, it makes heavy use of the powerful tools offered by Mathematica® . The volume is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. With a unique selection of topics and a large array of exercises to reinforce concepts, Classical Mechanics with Mathematica is an excellent resource for graduate students in physics. It can also serve as a reference for researchers wishing to gain a deeper understanding of both classical and modern mechanics Nota de contenido: I Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus -- 10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics -- A First-Order PDE.- B Fourier’s Series.- References.- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8352-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32705 Ejemplares
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