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Lattice Boltzmann Methods for Shallow Water Flows

Lattice Boltzmann Methods for Shallow Water Flows PDF Author: Jian Guo Zhou
Publisher: Springer Science & Business Media
ISBN: 3662082764
Category : Science
Languages : en
Pages : 118

Book Description
The lattice Boltzmann method (LBM) is a modern numerical technique, very efficient, flexible to simulate different flows within complex/varying geome tries. It is evolved from the lattice gas automata (LGA) in order to overcome the difficulties with the LGA. The core equation in the LBM turns out to be a special discrete form of the continuum Boltzmann equation, leading it to be self-explanatory in statistical physics. The method describes the micro scopic picture of particles movement in an extremely simplified way, and on the macroscopic level it gives a correct average description of a fluid. The av eraged particle velocities behave in time and space just as the flow velocities in a physical fluid, showing a direct link between discrete microscopic and continuum macroscopic phenomena. In contrast to the traditional computational fluid dynamics (CFD) based on a direct solution of flow equations, the lattice Boltzmann method provides an indirect way for solution of the flow equations. The method is characterized by simple calculation, parallel process and easy implementation of boundary conditions. It is these features that make the lattice Boltzmann method a very promising computational method in different areas. In recent years, it receives extensive attentions and becomes a very potential research area in computational fluid dynamics. However, most published books are limited to the lattice Boltzmann methods for the Navier-Stokes equations. On the other hand, shallow water flows exist in many practical situations such as tidal flows, waves, open channel flows and dam-break flows.

Lattice Boltzmann Methods for Shallow Water Flows

Lattice Boltzmann Methods for Shallow Water Flows PDF Author: Jian Guo Zhou
Publisher: Springer Science & Business Media
ISBN: 3662082764
Category : Science
Languages : en
Pages : 118

Book Description
The lattice Boltzmann method (LBM) is a modern numerical technique, very efficient, flexible to simulate different flows within complex/varying geome tries. It is evolved from the lattice gas automata (LGA) in order to overcome the difficulties with the LGA. The core equation in the LBM turns out to be a special discrete form of the continuum Boltzmann equation, leading it to be self-explanatory in statistical physics. The method describes the micro scopic picture of particles movement in an extremely simplified way, and on the macroscopic level it gives a correct average description of a fluid. The av eraged particle velocities behave in time and space just as the flow velocities in a physical fluid, showing a direct link between discrete microscopic and continuum macroscopic phenomena. In contrast to the traditional computational fluid dynamics (CFD) based on a direct solution of flow equations, the lattice Boltzmann method provides an indirect way for solution of the flow equations. The method is characterized by simple calculation, parallel process and easy implementation of boundary conditions. It is these features that make the lattice Boltzmann method a very promising computational method in different areas. In recent years, it receives extensive attentions and becomes a very potential research area in computational fluid dynamics. However, most published books are limited to the lattice Boltzmann methods for the Navier-Stokes equations. On the other hand, shallow water flows exist in many practical situations such as tidal flows, waves, open channel flows and dam-break flows.

Lattice Boltzmann Modeling

Lattice Boltzmann Modeling PDF Author: Michael C. Sukop
Publisher: Springer Science & Business Media
ISBN: 3540279822
Category : Science
Languages : en
Pages : 178

Book Description
Here is a basic introduction to Lattice Boltzmann models that emphasizes intuition and simplistic conceptualization of processes, while avoiding the complex mathematics that underlies LB models. The model is viewed from a particle perspective where collisions, streaming, and particle-particle/particle-surface interactions constitute the entire conceptual framework. Beginners and those whose interest is in model application over detailed mathematics will find this a powerful 'quick start' guide. Example simulations, exercises, and computer codes are included.

The Lattice Boltzmann Method

The Lattice Boltzmann Method PDF Author: Timm Krüger
Publisher: Springer
ISBN: 3319446495
Category : Science
Languages : en
Pages : 705

Book Description
This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.

Analysis and Applications of Lattice Boltzmann Simulations

Analysis and Applications of Lattice Boltzmann Simulations PDF Author: Valero-Lara, Pedro
Publisher: IGI Global
ISBN: 1522547614
Category : Computers
Languages : en
Pages : 461

Book Description
Programming has become a significant part of connecting theoretical development and scientific application computation. Fluid dynamics provide an important asset in experimentation and theoretical analysis. Analysis and Applications of Lattice Boltzmann Simulations provides emerging research on the efficient and standard implementations of simulation methods on current and upcoming parallel architectures. While highlighting topics such as hardware accelerators, numerical analysis, and sparse geometries, this publication explores the techniques of specific simulators as well as the multiple extensions and various uses. This book is a vital resource for engineers, professionals, researchers, academics, and students seeking current research on computational fluid dynamics, high-performance computing, and numerical and flow simulations.

Lattice Boltzmann Methods for Shallow Water Flows

Lattice Boltzmann Methods for Shallow Water Flows PDF Author: Jian Guo Zhou
Publisher: Springer Science & Business Media
ISBN: 9783540407461
Category : Science
Languages : en
Pages : 136

Book Description
This book describes a modern numerical technique, a lattice Boltzmann method, for shallow water flows with or without flow turbulence. This method requires only a simple microscopic equation to determine the depth and velocity based on its recovered macroscopic properties. The method is accurate and efficient for simulating complicated flows and flows within complex geometries, so it is becoming a powerful design tool in fluids engineering. The book may be used as a reference for scientists and engineers, a practical guide to the method for consultant organisations, and a textbook for graduates in engineering sciences such as coastal, civil and environmental engineering.

Lattice Boltzmann Method and Its Applications in Engineering

Lattice Boltzmann Method and Its Applications in Engineering PDF Author: Zhaoli Guo
Publisher: World Scientific
ISBN: 9814508306
Category : Science
Languages : en
Pages : 419

Book Description
This book covers the fundamental and practical application of the Lattice Boltzmann method (LBM). This method is a relatively new simulation technique for the modeling of complex fluid systems and has attracted interest from researchers in computational physics.

Computer Vision, Imaging and Computer Graphics: Theory and Applications

Computer Vision, Imaging and Computer Graphics: Theory and Applications PDF Author: Sebastiano Battiato
Publisher: Springer
ISBN: 3662449110
Category : Computers
Languages : en
Pages : 256

Book Description
This book constitutes the refereed proceedings of the 8th International Conference, VISIGRAPP 2013 consisting of the Joint Conferences on Computer Vision (VISAPP), the International Conference on Computer Graphics, GRAPP 2013, and the International Conference on Information Visualization IVAPP 2013, held in Barcelona, Spain, in February 2013. The 15 revised full papers presented were carefully reviewed and selected from 445 submissions. The papers are organized in topical sections on theory and applications in computer vision, image analysis, computer graphics, and information visualization.

Godunov Methods

Godunov Methods PDF Author: E.F. Toro
Publisher: Springer Science & Business Media
ISBN: 1461506638
Category : Computers
Languages : en
Pages : 1050

Book Description
This edited review book on Godunov methods contains 97 articles, all of which were presented at the international conference on Godunov Methods: Theory and Applications, held at Oxford in October 1999, to commemo rate the 70th birthday of the Russian mathematician Sergei K. Godunov. The meeting enjoyed the participation of 140 scientists from 20 countries; one of the participants commented: everyone is here, meaning that virtu ally everybody who had made a significant contribution to the general area of numerical methods for hyperbolic conservation laws, along the lines first proposed by Godunov in the fifties, was present at the meeting. Sadly, there were important absentees, who due to personal circumstance could not at tend this very exciting gathering. The central theme o{ the meeting, and of this book, was numerical methods for hyperbolic conservation laws fol lowing Godunov's key ideas contained in his celebrated paper of 1959. But Godunov's contributions to science are not restricted to Godunov's method.

Advanced Numerical Models for Simulating Tsunami Waves and Runup

Advanced Numerical Models for Simulating Tsunami Waves and Runup PDF Author: Philip L. F. Liu
Publisher: World Scientific
ISBN: 9812790918
Category : Mathematics
Languages : en
Pages : 341

Book Description
This review volume is divided into two parts. The first part includes five review papers on various numerical models. Pedersen provides a brief but thorough review of the theoretical background for depth-integrated wave equations, which are employed to simulate tsunami runup. LeVeque and George describe high-resolution finite volume methods for solving the nonlinear shallow water equations. The focus of their discussion is on the applications of these methods to tsunami runup.In recent years, several advanced 3D numerical models have been introduced to the field of coastal engineering to calculate breaking waves and wave-structure interactions. These models are still under development and are at different stages of maturity. Rogers and Dalrymple discuss the Smooth Particles Hydrodynamics (SPH) method, which is a meshless method. Wu and Liu present their Large Eddy Simulation (LES) model for simulating the landslide-generated waves. Finally, Frandsen introduces the lattice Boltzmann method with the consideration of a free surface.The second part of the review volume contains the descriptions of the benchmark problems with eleven extended abstracts submitted by the workshop participants. All these papers are compared with their numerical results with benchmark solutions.

Hydrodynamics

Hydrodynamics PDF Author: Jin - Hai Zheng
Publisher: BoD – Books on Demand
ISBN: 9535101307
Category : Technology & Engineering
Languages : en
Pages : 322

Book Description
With the amazing advances of scientific research, Hydrodynamics - Theory and Application presents the engineering applications of hydrodynamics from many countries around the world. A wide range of topics are covered in this book, including the theoretical, experimental, and numerical investigations on various subjects related to hydrodynamic problems. The book consists of twelve chapters, each of which is edited separately and deals with a specific topic. The book is intended to be a useful reference to the readers who are working in this field.