Lattice Boltzmann Methods for Shallow Water Flows

Lattice Boltzmann Methods for Shallow Water Flows
Author: Jian Guo Zhou
Publisher: Springer Science & Business Media
Total Pages: 118
Release: 2013-03-14
Genre: Science
ISBN: 3662082764

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
Author: Jian Guo Zhou
Publisher: Springer Science & Business Media
Total Pages: 136
Release: 2004-01-12
Genre: Science
ISBN: 9783540407461

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.

The Lattice Boltzmann Method

The Lattice Boltzmann Method
Author: Timm Krüger
Publisher: Springer
Total Pages: 705
Release: 2016-11-07
Genre: Science
ISBN: 3319446495

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.

Lattice Boltzmann Modeling

Lattice Boltzmann Modeling
Author: Michael C. Sukop
Publisher: Springer Science & Business Media
Total Pages: 178
Release: 2007-04-05
Genre: Science
ISBN: 3540279822

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.

Analysis and Applications of Lattice Boltzmann Simulations

Analysis and Applications of Lattice Boltzmann Simulations
Author: Valero-Lara, Pedro
Publisher: IGI Global
Total Pages: 461
Release: 2018-05-04
Genre: Computers
ISBN: 1522547614

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.

Computer Vision, Imaging and Computer Graphics: Theory and Applications

Computer Vision, Imaging and Computer Graphics: Theory and Applications
Author: Sebastiano Battiato
Publisher: Springer
Total Pages: 256
Release: 2014-09-29
Genre: Computers
ISBN: 3662449110

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.

Hydrodynamics

Hydrodynamics
Author: Jin - Hai Zheng
Publisher: BoD – Books on Demand
Total Pages: 322
Release: 2012-03-14
Genre: Technology & Engineering
ISBN: 9535101307

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.

Godunov Methods

Godunov Methods
Author: E.F. Toro
Publisher: Springer Science & Business Media
Total Pages: 1050
Release: 2012-12-06
Genre: Computers
ISBN: 1461506638

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.

Advances in Hydraulics and Hydroinformatics

Advances in Hydraulics and Hydroinformatics
Author: Jianguo Zhou
Publisher: MDPI
Total Pages: 358
Release: 2020-12-29
Genre: Technology & Engineering
ISBN: 3039361244

This Special Issue reports on recent research trends in hydraulics, hydrodynamics, and hydroinformatics, and their novel applications in practical engineering. The Issue covers a wide range of topics, including open channel flows, sediment transport dynamics, two-phase flows, flow-induced vibration and water quality. The collected papers provide insight into new developments in physical, mathematical, and numerical modelling of important problems in hydraulics and hydroinformatics, and include demonstrations of the application of such models in water resources engineering.