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Applications Of The Lattice Boltzmann Method To Complex And Turbulent Flows
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Author :National Aeronautics and Space Adm Nasa Publisher :Independently Published ISBN 13 :9781724086242 Total Pages :28 pages Book Rating :4.0/5 (862 download)
Book Synopsis Applications of the Lattice Boltzmann Method to Complex and Turbulent Flows by : National Aeronautics and Space Adm Nasa
Download or read book Applications of the Lattice Boltzmann Method to Complex and Turbulent Flows written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-09-27 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: We briefly review the method of the lattice Boltzmann equation (LBE). We show the three-dimensional LBE simulation results for a non-spherical particle in Couette flow and 16 particles in sedimentation in fluid. We compare the LBE simulation of the three-dimensional homogeneous isotropic turbulence flow in a periodic cubic box of the size 1283 with the pseudo-spectral simulation, and find that the two results agree well with each other but the LBE method is more dissipative than the pseudo-spectral method in small scales, as expected. Luo, Li-Shi and Qi, Dewei and Wang, Lian-Ping and Bushnell, Dennis M. (Technical Monitor) Langley Research Center NASA/CR-2002-211659, NAS 1.26:211659, ICASE-2002-19
Book Synopsis Applications of the Lattice Boltzmann Method to Complex and Turbulent Flows by : Li-Shi Luo
Download or read book Applications of the Lattice Boltzmann Method to Complex and Turbulent Flows written by Li-Shi Luo and published by . This book was released on 2002 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lattice Boltzmann Method And Its Application In Engineering by : Zhaoli Guo
Download or read book Lattice Boltzmann Method And Its Application In Engineering written by Zhaoli Guo and published by World Scientific. This book was released on 2013-03-25 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice Boltzmann method (LBM) is a relatively new simulation technique for the modeling of complex fluid systems and has attracted interest from researchers in computational physics. Unlike the traditional CFD methods, which solve the conservation equations of macroscopic properties (i.e., mass, momentum, and energy) numerically, LBM models the fluid consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice mesh.This book will cover the fundamental and practical application of LBM. The first part of the book consists of three chapters starting form the theory of LBM, basic models, initial and boundary conditions, theoretical analysis, to improved models. The second part of the book consists of six chapters, address applications of LBM in various aspects of computational fluid dynamic engineering, covering areas, such as thermo-hydrodynamics, compressible flows, multicomponent/multiphase flows, microscale flows, flows in porous media, turbulent flows, and suspensions.With these coverage LBM, the book intended to promote its applications, instead of the traditional computational fluid dynamic method.
Book Synopsis Developing a Stable Lattice Boltzmann Method for Computational Fluid Dynamics Applications by : Saeed J. Almalowi
Download or read book Developing a Stable Lattice Boltzmann Method for Computational Fluid Dynamics Applications written by Saeed J. Almalowi and published by . This book was released on 2014 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lattice Boltzmann method (LBM) has been employed to investigate the temporal and spatial characteristics of complex flows. Such complex flows include turbulent flows past cylinders confined in a channel, interfacial flows of two immiscible fluids and flows driven by density stratifications. Two dimensional and three dimensional thermal lattice Boltzmann models have been developed to study non-linear dynamics of these flows. Detailed formulations of the single relaxation lattice Boltzmann method are presented. Also presented by the present author are several variations of the lattice Boltzmann method. These methods include the multi relaxation lattice Boltzmann, regularized lattice Boltzmann and thermal lattice Boltzmann. Multi relaxation time converts velocity space to moment space, and regularized lattice Boltzmann uses the non-equilibrium parts of the stress. These methods are introduced to overcome stability problem of the lattice Boltzmann method. A unique lattice Boltzmann model that combines regularized and multi-relaxation time lattice Boltzmann method is introduced here to overcome the shortcoming of the lattice Boltzmann method. It is demonstrated here that the new model is stable for high speed turbulent flows. Turbulent flow structures predicted by the proposed method agree well with those observed by the experiments and those predicted by the large eddy simulations. Spatial resolution of the turbulence resolved here is equivalent to that obtained by direct numerical simulations. A two dimensional nine velocity and a three dimensional fifteen velocity lattice Boltzmann models have been employed to study interfacial flows. Body forces and interactive forces are included in these models. Several different approaches are adopted to handle different type boundary conditions imposed on the velocity and temperature fields. The nonlinear stages of Rayleigh Taylor instabilities and droplets rising in a stagnant fluid are characterized. The developed model shows and more stable more accurate results. The thermal model was employed to study the Rayleigh-Benard convection in a square and rectangular cavity. It has been demonstrated here that the lattice Boltzmann method can be an effective computational fluid dynamics tool to tackle complex flows.
Book Synopsis The Lattice Boltzmann Method by : Timm Krüger
Download or read book The Lattice Boltzmann Method written by Timm Krüger and published by Springer. This book was released on 2016-11-07 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Generalized Wall Function written by and published by . This book was released on 1999 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lattice Boltzmann Modeling by : Michael C. Sukop
Download or read book Lattice Boltzmann Modeling written by Michael C. Sukop and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lattice Boltzmann Modeling of Complex Flows for Engineering Applications by : Andrea Montessori
Download or read book Lattice Boltzmann Modeling of Complex Flows for Engineering Applications written by Andrea Montessori and published by Morgan & Claypool Publishers. This book was released on 2018-02-20 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature continuously presents a huge number of complex and multi-scale phenomena, which in many cases, involve the presence of one or more fluids flowing, merging and evolving around us. Since its appearance on the surface of Earth, Mankind has tried to exploit and tame fluids for their purposes, probably starting with Hero's machinery to open the doors of the Temple of Serapis in Alexandria to arrive to modern propulsion systems and actuators. Today we know that fluid mechanics lies at the basis of countless scientific and technical applications from the smallest physical scales (nanofluidics, bacterial motility, and diffusive flows in porous media), to the largest (from energy production in power plants to oceanography and meteorology). It is essential to deepen the understanding of fluid behaviour across scales for the progress of Mankind and for a more sustainable and efficient future. Since the very first years of the Third Millennium, the Lattice Boltzmann Method (LBM) has seen an exponential growth of applications, especially in the fields connected with the simulation of complex and soft matter flows. LBM, in fact, has shown a remarkable versatility in different fields of applications from nanoactive materials, free surface flows, and multiphase and reactive flows to the simulation of the processes inside engines and fluid machinery. LBM is based on an optimized formulation of Boltzmann's Kinetic Equation, which allows for the simulation of fluid particles, or rather quasi-particles, from a mesoscopic point of view thus allowing the inclusion of more fundamental physical interactions in respect to the standard schemes adopted with Navier-Stokes solvers, based on the continuum assumption. In this book, the authors present the most recent advances of the application of the LBM to complex flow phenomena of scientific and technical interest with particular focus on the multi-scale modeling of heterogeneous catalysis within nano-porous media and multiphase, multicomponent flows.
Book Synopsis Introduction To The Lattice Boltzmann Method, An: A Numerical Method For Complex Boundary And Moving Boundary Flows by : Takaji Inamuro
Download or read book Introduction To The Lattice Boltzmann Method, An: A Numerical Method For Complex Boundary And Moving Boundary Flows written by Takaji Inamuro and published by World Scientific. This book was released on 2021-11-19 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces the fundamentals and applications of the lattice Boltzmann method (LBM) for incompressible viscous flows. It is written clearly and easy to understand for graduate students and researchers.The book is organized as follows. In Chapter 1, the SRT- and MRT-LBM schemes are derived from the discrete Boltzmann equation for lattice gases and the relation between the LBM and the Navier-Stokes equation is explained by using the asymptotic expansion (not the Chapman-Enskog expansion). Chapter 2 presents the lattice kinetic scheme (LKS) which is an extension method of the LBM and can save memory because of needlessness for storing the velocity distribution functions. In addition, an improved LKS which can stably simulate high Reynolds number flows is presented. In Chapter 3, the LBM combined with the immersed boundary method (IB-LBM) is presented. The IB-LBM is well suitable for moving boundary flows. In Chapter 4, the two-phase LBM is explained from the point of view of the difficulty in computing two-phase flows with large density ratio. Then, a two-phase LBM for large density ratios is presented. In Appendix, sample codes (available for download) are given for users.
Book Synopsis Lattice-Gas Cellular Automata and Lattice Boltzmann Models by : Dieter A. Wolf-Gladrow
Download or read book Lattice-Gas Cellular Automata and Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow and published by Springer. This book was released on 2004-10-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.
Book Synopsis Lattice Boltzmann Method for Turbulent Combustion by : Sharath S. Girimaji
Download or read book Lattice Boltzmann Method for Turbulent Combustion written by Sharath S. Girimaji and published by . This book was released on 2001 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last few years, the Lattice Boltzmann methods - Lattice Boltzmann Equation (LBE) and Lattice Gas Automata (LGA) have made significant strides in both theory and application. On the theoretical front, rigorous mathematical proof now exists demonstrating that the LBE method is a special finite difference scheme of the Boltzmann equation that governs all fluid flow %1. (Recall that the Navier-Stokes equation also has its basis in the Boltzmann equation.) It has also been shown that the LBE method can be related to some conventional CFD methods and the proof brings to light the advantages of the LBE method. Detailed numerical studies with the LBE method have demonstrated the physical accuracy and computational tractability for solving complex fluid flow problems. In its current state, the LBE method is fully developed and well-tested for moderate- Reynolds number, isothermal flows. Many complex flow phenomena have already been studied with this approach (see recent reviews 2, 3 and references therein). The LBE method is now an accurate engineering tool for simulating inert turbulence and is at an ideal stage for extension to chemically reacting turbulent flows.
Book Synopsis Lattice Boltzmann Method by : A. A. Mohamad
Download or read book Lattice Boltzmann Method written by A. A. Mohamad and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice Boltzmann Method introduces the lattice Boltzmann method (LBM) for solving transport phenomena – flow, heat and mass transfer – in a systematic way. Providing explanatory computer codes throughout the book, the author guides readers through many practical examples, such as: flow in isothermal and non-isothermal lid driven cavities; flow over obstacles; forced flow through a heated channel; conjugate forced convection; and natural convection. Diffusion and advection-diffusion equations are discussed with applications and examples, and complete computer codes accompany the coverage of single and multi-relaxation-time methods. Although the codes are written in FORTRAN, they can be easily translated to other languages, such as C++. The codes can also be extended with little effort to multi-phase and multi-physics, if the reader knows the physics of the problem. Readers with some experience of advanced mathematics and physics will find Lattice Boltzmann Method a useful and easy-to-follow text. It has been written for those who are interested in learning and applying the LBM to engineering and industrial problems and it can also serve as a textbook for advanced undergraduate or graduate students who are studying computational transport phenomena.
Book Synopsis The Lattice Boltzmann Equation: For Complex States of Flowing Matter by : Sauro Succi
Download or read book The Lattice Boltzmann Equation: For Complex States of Flowing Matter written by Sauro Succi and published by Oxford University Press. This book was released on 2018-04-13 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Flowing matter is all around us, from daily-life vital processes (breathing, blood circulation), to industrial, environmental, biological, and medical sciences. Complex states of flowing matter are equally present in fundamental physical processes, far remote from our direct senses, such as quantum-relativistic matter under ultra-high temperature conditions (quark-gluon plasmas). Capturing the complexities of such states of matter stands as one of the most prominent challenges of modern science, with multiple ramifications to physics, biology, mathematics, and computer science. As a result, mathematical and computational techniques capable of providing a quantitative account of the way that such complex states of flowing matter behave in space and time are becoming increasingly important. This book provides a unique description of a major technique, the Lattice Boltzmann method to accomplish this task. The Lattice Boltzmann method has gained a prominent role as an efficient computational tool for the numerical simulation of a wide variety of complex states of flowing matter across a broad range of scales; from fully-developed turbulence, to multiphase micro-flows, all the way down to nano-biofluidics and lately, even quantum-relativistic sub-nuclear fluids. After providing a self-contained introduction to the kinetic theory of fluids and a thorough account of its transcription to the lattice framework, this text provides a survey of the major developments which have led to the impressive growth of the Lattice Boltzmann across most walks of fluid dynamics and its interfaces with allied disciplines. Included are recent developments of Lattice Boltzmann methods for non-ideal fluids, micro- and nanofluidic flows with suspended bodies of assorted nature and extensions to strong non-equilibrium flows beyond the realm of continuum fluid mechanics. In the final part, it presents the extension of the Lattice Boltzmann method to quantum and relativistic matter, in an attempt to match the major surge of interest spurred by recent developments in the area of strongly interacting holographic fluids, such as electron flows in graphene.
Book Synopsis Lattice Boltzmann Methods for Shallow Water Flows by : Jian Guo Zhou
Download or read book Lattice Boltzmann Methods for Shallow Water Flows written by Jian Guo Zhou and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numerical Solution of Partial Differential Equations on Parallel Computers by : Are Magnus Bruaset
Download or read book Numerical Solution of Partial Differential Equations on Parallel Computers written by Are Magnus Bruaset and published by Springer Science & Business Media. This book was released on 2006-03-05 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.
Book Synopsis The Lattice Boltzmann Equation by : S. Succi
Download or read book The Lattice Boltzmann Equation written by S. Succi and published by Oxford University Press. This book was released on 2001-06-28 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.
Book Synopsis Analysis and Applications of Lattice Boltzmann Simulations by : Valero-Lara, Pedro
Download or read book Analysis and Applications of Lattice Boltzmann Simulations written by Valero-Lara, Pedro and published by IGI Global. This book was released on 2018-05-04 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
