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| Author | : |
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| Total Pages | : |
| Release | : 2014 |
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| 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.
| 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.
| Author | : Yoshio Sone |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 358 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 146120061X |
This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.
| Author | : Katrina J. Donovan |
| Publisher | : |
| Total Pages | : 61 |
| Release | : 2014 |
| Genre | : Computational fluid dynamics |
| ISBN | : |
Microfluidics is a rapidly growing topic of interest for scientists, engineers, and medical researchers. The micrometer length scale constrains flow to a laminar behavior, allowing for a more predictable system. High-throughput experimentation is possible with laminar multiphase flow, specifically microdroplets. Manipulating microdroplets by generating, splitting, separating, and fusing provides a versatile environment for analysis in a variety of biological and chemical systems. The process of design, fabrication, and testing of microfluidic systems is an iterative and tedious procedure. The purpose of this research was to utilize computational fluid dynamics software to expedite the fabrication and design process by simulating time-dependent data as droplets flow through a channel. The two-dimensional segmented flow investigated the effect of droplet generation by inspecting three different nozzle widths combined with four different post nozzle designs. Droplets were successfully generated in all nozzle widths and all post nozzle geometries, but certain nozzle and post nozzle geometries were found to be a more efficient combination. The three-dimensional project analyzes droplet generation and merging in a pillar induced merging chamber. Multiple droplets successfully merged in the three-dimensional analysis.
| Author | : Renwei Mei |
| Publisher | : |
| Total Pages | : 26 |
| Release | : 2002 |
| Genre | : |
| ISBN | : |
In this work, we investigate two issues that are important to computational efficiency and reliability in fluid dynamics applications of the lattice Boltzmann equation (LBE): (1) Computational stability and accuracy of different lattice Boltzmann models and (2) the treatment of the boundary conditions on curved solid boundaries and their 3-D implementations. Three a thermal 3-D LBE models (D3Q15, D3Q27) are studied and compared in terms of efficiency, accuracy, and robustness. The boundary treatment recently developed by Filippova and Hanel and Mei et al. in 2-D is extended to and implemented for 3-D. The convergence, stability, and computational efficiency of the 3-D LBE models with the boundary treatment for curved boundaries were tested in simulations of four 3-D flows: (1) Fully developed flows in a square duct, (2) flow in a 3-D lid-driven cavity, (3) fully developed flows in a circular pipe, and (4) a uniform flow over a sphere. We found that while the fifteen-velocity 3-D (D3Q15) model is more prone to numerical instability and the D3Q27 is more computationally intensive, the D3Q19 model provides a balance between computational reliability and efficiency. Through numerical simulations, we demonstrated that the boundary treatment for 3-D arbitrary curved geometry has second-order accuracy and possesses satisfactory stability characteristics.
| Author | : Dieter A. Wolf-Gladrow |
| Publisher | : Springer |
| Total Pages | : 320 |
| Release | : 2004-10-19 |
| Genre | : Mathematics |
| ISBN | : 3540465863 |
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.
| Author | : National Aeronautics and Space Administration (NASA) |
| Publisher | : Createspace Independent Publishing Platform |
| Total Pages | : 36 |
| Release | : 2018-06-19 |
| Genre | : |
| ISBN | : 9781721509720 |
In this work, we investigate two issues that are important to computational efficiency and reliability in fluid dynamics applications of the lattice, Boltzmann equation (LBE): (1) Computational stability and accuracy of different lattice Boltzmann models and (2) the treatment of the boundary conditions on curved solid boundaries and their 3-D implementations. Three athermal 3-D LBE models (D3QI5, D3Ql9, and D3Q27) are studied and compared in terms of efficiency, accuracy, and robustness. The boundary treatment recently developed by Filippova and Hanel and Met et al. in 2-D is extended to and implemented for 3-D. The convergence, stability, and computational efficiency of the 3-D LBE models with the boundary treatment for curved boundaries were tested in simulations of four 3-D flows: (1) Fully developed flows in a square duct, (2) flow in a 3-D lid-driven cavity, (3) fully developed flows in a circular pipe, and (4) a uniform flow over a sphere. We found that while the fifteen-velocity 3-D (D3Ql5) model is more prone to numerical instability and the D3Q27 is more computationally intensive, the 63Q19 model provides a balance between computational reliability and efficiency. Through numerical simulations, we demonstrated that the boundary treatment for 3-D arbitrary curved geometry has second-order accuracy and possesses satisfactory stability characteristics. Mei, Renwei and Shyy, Wei and Yu, Dazhi and Luo, Li-Shi Langley Research Center NASA/CR-2002-211657, NAS 1.26:211657, ICASE-2002-17
| Author | : Savas Tasoglu |
| Publisher | : MDPI |
| Total Pages | : 213 |
| Release | : 2019-01-10 |
| Genre | : Botanical chemistry |
| ISBN | : 3038974676 |
This book is a printed edition of the Special Issue "3D Printed Microfluidic Devices" that was published in Micromachines
| 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.
