[PDF] Discrete Models Of Fluid Dynamics eBook

Author : A S Alves
Publisher : World Scientific
Page : 270 pages
File Size : 34,93 MB
Release : 1991-04-30
Category :
ISBN : 9814603759

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Recent developments of discrete methods of fluid dynamics, particularly the two most relevant aspects: the “half” discrete case — discrete Boltzmann equation; and the “totally” discrete one — lattice gas were discussed. Both the conceptual and numerical significance of these discrete models were covered as well as the mathematical problems which arise from them. This Colloquium is the third of a series initiated in Santa Fe (USA 1986) the second having taken place in Torino (Italy 1988).

Author : Roberto Monaco
Publisher : World Scientific
Page : 296 pages
File Size : 39,49 MB
Release : 1991
Category : Mathematics
ISBN : 9789810204662

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This book presents applications to several fluid dynamics problems in both the bounded and unbounded domains in the framework of the discrete velocity models of kinetic theory. The proposition of new models for dense gases, gases with multi-components, and gases with chemical reactions are also included. This is an up-to-date book on the applications of the discrete Boltzmann equation.

Author : Rainer Ansorge
Publisher : John Wiley & Sons
Page : 242 pages
File Size : 26,66 MB
Release : 2009-07-10
Category : Mathematics
ISBN : 3527627979

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Without sacrificing scientific strictness, this introduction to the field guides readers through mathematical modeling, the theoretical treatment of the underlying physical laws and the construction and effective use of numerical procedures to describe the behavior of the dynamics of physical flow. The book is carefully divided into three main parts: - The design of mathematical models of physical fluid flow; - A theoretical treatment of the equations representing the model, as Navier-Stokes, Euler, and boundary layer equations, models of turbulence, in order to gain qualitative as well as quantitative insights into the processes of flow events; - The construction and effective use of numerical procedures in order to find quantitative descriptions of concrete physical or technical fluid flow situations. Both students and experts wanting to control or predict the behavior of fluid flows by theoretical and computational fluid dynamics will benefit from this combination of all relevant aspects in one handy volume.

Author : Dieter Leutloff
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 49,58 MB
Release : 2012-12-06
Category : Science
ISBN : 3642794408

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Computational methods and modelling is of growing importance in fundamental science as well as in applications in industry and in environmental research. In this topical volume the readers find important contributions in the field of turbulent boundary layers, the Tsunami problem, group invariant solution of hydrodynamic equations, non-linear waves, modelling of the problem of evaporation-condensation, the exact solution of discrete models of the Boltzmann equation etc. The book addresses researchers and engineers both in the mechanical sciences and in scientific computing.

Author : Laura De Lorenzis
Publisher : Springer Nature
Page : 225 pages
File Size : 39,43 MB
Release : 2020-02-08
Category : Science
ISBN : 3030375188

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The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.

Author : Terry E. Moschandreou
Publisher : CRC Press
Page : 339 pages
File Size : 28,11 MB
Release : 2024-01-25
Category : Science
ISBN : 1003828558

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Theoretical and Computational Fluid Mechanics: Existence, Blow-up, and Discrete Exterior Calculus Algorithms centralizes the main and current topics in theoretical and applied fluid dynamics at the intersection of a mathematical and non-mathematical environment. The book is accessible to anyone with a basic level of understanding of fluid dynamics and yet still engaging for those of a deeper understanding. The book is aimed at theorists and applied mathematicians from a wide range of scientific fields, including the social, health, and physical sciences. It provides a step-by-step guide to the construction of solutions of both elementary and open problems of viscous and non-viscous models, and for the applications of such models for the functional analysis and real analysis of data. Features Offers a self-contained treatment that does not require a previous background in fluid dynamics. Suitable as a reference text for graduate students, researchers, and professionals, and could easily be used as a teaching resource. Provides various examples using Maple, Mathematica, and to a lesser extent Matlab programming languages.

Author : Peter Hansbo
Publisher :
Page : 0 pages
File Size : 31,13 MB
Release : 2025
Category :
ISBN : 9781785480119

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Computational Mechanics: Continuous and Discrete Models for Solids, Fluids and Structures offers a unified presentation of continuum mechanical models and their discrete counterparts, giving a deeper understanding of the relationship that exists between the main numerical methods, finite element methods, and finite volume methods, also presenting the advantages and shortcomings of each. This book shows, with the use of MATLAB code snippets, how to implement the methods described for all types of different problems, including linear and nonlinear, stationary and time dependent, and solids and fluids, all presented for the typical common finite element, finite volume, and time stepping methods. Contains derivation of continuous models and discrete models in a unified, mixed engineering/mathematical manner Presents numerical methods and their implementation in MATLAB Explores finite element methods, discontinuous finite element methods, and finite volume methods within the same framework