Catalogue Search | MBRL
Are you sure you want to remove the book from the shelf?
{{itemTitle}}
93,629
result(s) for
"lattice"
Sort by:
Modern perspectives in lattice QCD : quantum field theory and high performance computing
\"The book is based on the lectures delivered at the XCIII Session of the Ecole de Physique des Houches, held in August, 2009. The aim of the event was to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations. The emphasis of the book is on the theoretical developments that have shaped the field in the last two decades and that have turned lattice gauge theory into a robust approach to the determination of low energy hadronic quantities and of fundamental parameters of the Standard Model. By way of introduction, the lectures begin by covering lattice theory basics, lattice renormalization and improvement, and the many faces of chirality. A later course introduces QCD at finite temperature and density. A broad view of lattice computation from the basics to recent developments was offered in a corresponding course. Extrapolations to physical quark masses and a framework for the parameterization of the low-energy physics by means of effective coupling constants is covered in a lecture on chiral perturbation theory. Heavy-quark effective theories, an essential tool for performing the relevant lattice calculations, is covered from its basics to recent advances. A number of shorter courses round out the book and broaden its purview. These included recent applications to the nucleon--nucleon interation and a course on physics beyond the Standard Model\"--Provided by publisher.
Book
Lattice Boltzmann method and its applications in engineering
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.
eBook
RA-... - SUPPLEMENTED LATTICES
In this work, we define Rad- ⊕ -supplemented and strongly Rad- ⊕ -supplemented lattices and give some properties of these lattices. We generalize some properties of Rad- ⊕ -supplemented modules to lattices. Let L be a lattice and 1 = a1 ⊕ a2 ⊕ ... ⊕ an with a1,a2, ... an ∈ L. If ai/0 is Rad- ⊕ - supplemented for every i = 1, 2,...,n. then L is also Rad- ⊕ - supplemented. LetL be a distributive Rad- ⊕ -supplemented lattice. Then 1/u is Rad- ⊕ -supplemented for every u ∈ L. We also define completely Rad- ⊕ -supplemented lattices and prove that every Rad- ⊕ -supplemented lattice with SSP property is completely Rad- ⊕ - supplemented.
Journal Article
Effect of Architected Structural Members on the Viscoelastic Response of 3D Printed Simple Cubic Lattice Structures
Three-dimensional printed polymeric lattice structures have recently gained interests in several engineering applications owing to their excellent properties such as low-density, energy absorption, strength-to-weight ratio, and damping performance. Three-dimensional (3D) lattice structure properties are governed by the topology of the microstructure and the base material that can be tailored to meet the application requirement. In this study, the effect of architected structural member geometry and base material on the viscoelastic response of 3D printed lattice structure has been investigated. The simple cubic lattice structures based on plate-, truss-, and shell-type structural members were used to describe the topology of the cellular solid. The proposed lattice structures were fabricated with two materials, i.e., PLA and ABS using the material extrusion (MEX) process. The quasi-static compression response of lattice structures was investigated, and mechanical properties were obtained. Then, the creep, relaxation and cyclic viscoelastic response of the lattice structure were characterized. Both material and topologies were observed to affect the mechanical properties and time-dependent behavior of lattice structure. Plate-based lattices were found to possess highest stiffness, while the highest viscoelastic behavior belongs to shell-based lattices. Among the studied lattice structures, we found that the plate-lattice is the best candidate to use as a creep-resistant LS and shell-based lattice is ideal for damping applications under quasi-static loading conditions. The proposed analysis approach is a step forward toward understanding the viscoelastic tolerance design of lattice structures.
Journal Article
Entire solutions for bistable lattice differential equations with obstacles
We consider scalar lattice differential equations posed on square lattices in two space dimensions. Under certain natural conditions
we show that wave-like solutions exist when obstacles (characterized by “holes”) are present in the lattice. Our work generalizes to the
discrete spatial setting the results obtained in Berestycki, Hamel, and Matuno (2009) for the propagation of waves around obstacles in
continuous spatial domains. The analysis hinges upon the development of sub and super-solutions for a class of discrete bistable
reaction-diffusion problems and on a generalization of a classical result due to Aronson and Weinberger that concerns the spreading of
localized disturbances.
eBook