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Flux Corrected Transport

Author: Dmitri Kuzmin
Publisher: Springer Science & Business Media
ISBN: 9400740379
Size: 71.68 MB
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Addressing students and researchers as well as Computational Fluid Dynamics practitioners, this book is the most comprehensive review of high-resolution schemes based on the principle of Flux-Corrected Transport (FCT). The foreword by J.P. Boris and historical note by D.L. Book describe the development of the classical FCT methodology for convection-dominated transport problems, while the design philosophy behind modern FCT schemes is explained by S.T. Zalesak. The subsequent chapters present various improvements and generalizations proposed over the past three decades. In this new edition, recent results are integrated into existing chapters in order to describe significant advances since the publication of the first edition. Also, 3 new chapters were added in order to cover the following topics: algebraic flux correction for finite elements, iterative and linearized FCT schemes, TVD-like flux limiters, acceleration of explicit and implicit solvers, mesh adaptation, failsafe limiting for systems of conservation laws, flux-corrected interpolation (remapping), positivity preservation in RANS turbulence models, and the use of FCT as an implicit subgrid scale model for large eddy simulations.

Galerkin Spektralverfahren F R Die Fokker Planck Gleichung

Author: Christoph Lohmann
Publisher: Springer-Verlag
ISBN: 3658133112
Size: 77.55 MB
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Christoph Lohmann beschäftigt sich mit numerischen Verfahren für die Fokker-Planck-Gleichung. Ausgehend von einer Fourierapproximation leitet er notwendige Bedingungen für die Nichtnegativität der Wahrscheinlichkeitsdichte und positive Semidefinitheit zugehöriger Orientierungstensoren her. Unter Verwendung dieser Bedingungen entwickelt der Autor neuartige Korrekturtechniken für die Fourierkoeffizienten, die zu einer genauen und physikkonformen Approximation der Orientierungstensoren führen.

Large Scale Scientific Computing

Author: Ivan Lirkov
Publisher: Springer
ISBN: 3662438801
Size: 40.66 MB
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This book constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on Large-Scale Scientific Computations, LSSC 2013, held in Sozopol, Bulgaria, in June 2013. The 74 revised full papers presented together with 5 plenary and invited papers were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on numerical modeling of fluids and structures; control and uncertain systems; Monte Carlo methods: theory, applications and distributed computing; theoretical and algorithmic advances in transport problems; applications of metaheuristics to large-scale problems; modeling and numerical simulation of processes in highly heterogeneous media; large-scale models: numerical methods, parallel computations and applications; numerical solvers on many-core systems; cloud and grid computing for resource-intensive scientific applications.

Numerical Computations With Gpus

Author: Volodymyr Kindratenko
Publisher: Springer
ISBN: 3319065483
Size: 80.22 MB
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This book brings together research on numerical methods adapted for Graphics Processing Units (GPUs). It explains recent efforts to adapt classic numerical methods, including solution of linear equations and FFT, for massively parallel GPU architectures. This volume consolidates recent research and adaptations, covering widely used methods that are at the core of many scientific and engineering computations. Each chapter is written by authors working on a specific group of methods; these leading experts provide mathematical background, parallel algorithms and implementation details leading to reusable, adaptable and scalable code fragments. This book also serves as a GPU implementation manual for many numerical algorithms, sharing tips on GPUs that can increase application efficiency. The valuable insights into parallelization strategies for GPUs are supplemented by ready-to-use code fragments. Numerical Computations with GPUs targets professionals and researchers working in high performance computing and GPU programming. Advanced-level students focused on computer science and mathematics will also find this book useful as secondary text book or reference.

Shock Tubes And Waves

Author: Charles E. Treanor
Publisher: SUNY Press
ISBN: 9780873955959
Size: 49.77 MB
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Proceedings from a symposium on shock tubes and waves held July 6-9, 1981.

New Developments In Computational Fluid Dynamics

Author: Kunio Kuwahara
Publisher: Springer Science & Business Media
ISBN: 9783540274070
Size: 45.82 MB
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This volume contains 20 papers presented at the Sixth International Nobeyama Workshop on the New Century of Computational Fluid Dynamics, Nobeyama, Japan, April 21-24, 2003. The Nobeyama Workshop focuses on predicting the next one hundred years of development of Fluid Dynamics, accounting for the current status and future trends of high performance computation and communication. The papers cover computational electromagnetics, astrophysical topics, CFD research and applications in general, large-eddy simulation, vortical flows, mesh generation topics, visualization, DNA computing, multidisciplinary simulation and optimisation, as well as algorithmic developments. The Workshops are known for the informal and concentrated atmosphere of in-depth discussion thanks to all the efforts of Prof. Kunio Kuwahara at ISAS, Japan. In celebration of his 60th birthday, this workshop was dedicated to him.

Numerische Str Mungsmechanik

Author: Joel H. Ferziger
Publisher: Springer-Verlag
ISBN: 3540682287
Size: 73.52 MB
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Das Buch bietet einen Überblick über die numerischen Methoden zur Lösung strömungsmechanischer Probleme. Die in der Praxis meistgenutzten Methoden werden detailliert beschrieben. Behandelt werden auch fortgeschrittene Methoden, wie die Simulation von Turbulenzen und Parallel-Verarbeitung. Das Buch beschreibt die Grundlagen und Prinzipien der verschiedenen Methoden. Numerische Genauigkeit und Abschätzung sowie Fehlerreduktion werden detailliert mit vielen Beispielen behandelt. Alle Computercodes sind über den Server ftp.springer.de des Springer-Verlages erhältlich (Internet).

Scientific Computing And Applications

Author: Peter Minev
Publisher: Nova Publishers
ISBN: 9781590330272
Size: 80.19 MB
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Contents: An Optimal Order Multilevel Preconditioner with Respect to Problem and Discretisation Parameters; 3D Numerical Simulation of Drop Coalescence; Fully Implicit Implementation of Boundary Conditions in Operator-Splitting Methods for Steady Incompressible Navier-Stokes Equations; Point-Distributed Algorithms on Locally Refined Grids for Second Order Elliptic Equations; Anisotropic Mesh Adaptation Through Hierarchical Error Estimators; Operator Splitting for Compressible Miscible Displacement in Porous Media; On Smoothers in Parallel Coupled Multigrid Methods for Incompressible Navier-Stokes Equations; Time-Evolving Interfaces in a Stokes Flow; Adaptive Finite Volume Element Method for Convection-Diffusion-Reaction Problems in 3-D; A Rectangular Immersed Finite Element Space for Interface Problems; Convergence Analysis For Quadrilateral Rotated Q1 Elements; A Spectral Solver for the Three-Dimensional Navier-Stokes Equations in Velocity-Vorticity Formulation; B-spline Collocation Methods for Elasticity Problems; Moving Mesh Finite Element Methods Based on Harmonic Maps; Interface Solvers and Preconditioners of Domain Decomposition Type for Multiphase Flow in Multiblock Porous M

Finite Element Methods For Computational Fluid Dynamics

Author: Dmitri Kuzmin
Publisher: SIAM
ISBN: 1611973600
Size: 19.11 MB
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This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory.÷Finite Element Methods for Computational Fluid Dynamics: A Practical Guide÷explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples. It comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov?Galerkin approximations, Taylor?Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes, and covers Petrov?Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problem. The book also describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component.÷