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Moving Finite Elements in 2-D -- Fluid Dynamics Applications

Moving Finite Elements in 2-D -- Fluid Dynamics Applications PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 58

Book Description
This report summarizes progress on the feasibility of using the moving finite element (MFE) method in two dimensional for the study of shock boundary layer interactions. It is found that highly local physical dissipation processes in regions of large gradients can be sensitive determinates of macroscopic flow properties. The MFE method continues to show promise for resolving such physical effects, while suppressing anomolous or numerical diffusion effects, over highly disparate physical scales. Recommendations are given for improving the MFE method for further reduction to practice for airblast applications. Keywords: Viscous Dissipation; Implicit Solutions; Partial Differential Equation; Navier Stokes Equations.

Moving Finite Elements in 2-D -- Fluid Dynamics Applications

Moving Finite Elements in 2-D -- Fluid Dynamics Applications PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 58

Book Description
This report summarizes progress on the feasibility of using the moving finite element (MFE) method in two dimensional for the study of shock boundary layer interactions. It is found that highly local physical dissipation processes in regions of large gradients can be sensitive determinates of macroscopic flow properties. The MFE method continues to show promise for resolving such physical effects, while suppressing anomolous or numerical diffusion effects, over highly disparate physical scales. Recommendations are given for improving the MFE method for further reduction to practice for airblast applications. Keywords: Viscous Dissipation; Implicit Solutions; Partial Differential Equation; Navier Stokes Equations.

The Intermediate Finite Element Method

The Intermediate Finite Element Method PDF Author: DarrellW. Pepper
Publisher: Routledge
ISBN: 1351410113
Category : Science
Languages : en
Pages : 634

Book Description
This book is a follow-up to the introductory text written by the same authors. The primary emphasis on this book is linear and nonlinear partial differential equations with particular concentration on the equations of viscous fluid motion. Each chapter describes a particular application of the finite element method and illustrates the concepts through example problems. A comprehensive appendix lists computer codes for 2-D fluid flow and two 3-D transient codes.

Finite Element Techniques for Fluid Flow

Finite Element Techniques for Fluid Flow PDF Author: J. J. Connor
Publisher: Newnes
ISBN: 1483161161
Category : Technology & Engineering
Languages : en
Pages : 321

Book Description
Finite Element Techniques for Fluid Flow describes the advances in the applications of finite element techniques to fluid mechanics. Topics covered range from weighted residual and variational methods to interpolation functions, inviscid fluids, and flow through porous media. The basic principles and governing equations of fluid mechanics as well as problems related to dispersion and shallow water circulation are also discussed. This text is comprised of nine chapters; the first of which explains some basic definitions and properties as well as the basic principles of weighted residual and variational methods. The reader is then introduced to the simple finite element concepts and models, and gradually to more complex applications. The chapters that follow focus on the governing equations of fluid flow, the solutions to potential type problems, and viscous flow problems in porous media. The solutions to more specialized problems are also presented. This book also considers how circulation problems can be tackled using finite elements, presents a solution to the mass transfer equation, and concludes with an explanation of how to solve general transient incompressible flows. This source will be of use to engineers, applied mathematicians, physicists, self-taught students, and research workers.

Finite Element Analysis in Fluid Dynamics

Finite Element Analysis in Fluid Dynamics PDF Author: T. J. Chung
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 400

Book Description
New York : McGraw-Hill International Book Co., c1978.

The Finite Element Method for Fluid Dynamics

The Finite Element Method for Fluid Dynamics PDF Author: Olek C Zienkiewicz
Publisher: Butterworth-Heinemann
ISBN: 0080951376
Category : Technology & Engineering
Languages : en
Pages : 581

Book Description
The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on: Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems Biofluid dynamics, covering flow throughout the human arterial system Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics Founded by an influential pioneer in the field and updated in this seventh edition by leading academics who worked closely with Olgierd C. Zienkiewicz Features new chapters on fluid-structure interaction and biofluid dynamics, including coverage of one-dimensional flow in flexible pipes and challenges in modeling systemic arterial circulation

Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer

Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer PDF Author: Ben Q. Li
Publisher: Springer Science & Business Media
ISBN: 1852339888
Category : Technology & Engineering
Languages : en
Pages : 587

Book Description
Over the past several years, significant advances have been made in developing the discontinuous Galerkin finite element method for applications in fluid flow and heat transfer. Certain unique features of the method have made it attractive as an alternative for other popular methods such as finite volume and finite elements in thermal fluids engineering analyses. This book is written as an introductory textbook on the discontinuous finite element method for senior undergraduate and graduate students in the area of thermal science and fluid dynamics. It also can be used as a reference book for researchers and engineers who intend to use the method for research in computational fluid dynamics and heat transfer. A good portion of this book has been used in a course for computational fluid dynamics and heat transfer for senior undergraduate and first year graduate students. It also has been used by some graduate students for self-study of the basics of discontinuous finite elements. This monograph assumes that readers have a basic understanding of thermodynamics, fluid mechanics and heat transfer and some background in numerical analysis. Knowledge of continuous finite elements is not necessary but will be helpful. The book covers the application of the method for the simulation of both macroscopic and micro/nanoscale fluid flow and heat transfer phenomena.

Finite Element Methods and Their Applications

Finite Element Methods and Their Applications PDF Author: Zhangxin Chen
Publisher: Springer Science & Business Media
ISBN: 3540240780
Category : Science
Languages : en
Pages : 415

Book Description
Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.

Finite Elements and Fast Iterative Solvers

Finite Elements and Fast Iterative Solvers PDF Author: Howard C. Elman
Publisher: Oxford University Press
ISBN: 0199678790
Category : Mathematics
Languages : en
Pages : 495

Book Description
A practical graduate text on Scientific Computing with a focus on numerical solution of partial differential equations and numerical linear algebra. This book, and its associated freely downloadable MATLAB software, is relevant to engineers, applied mathematicians, numerical analysts, and people working in interdisciplinary Scientific Computing.

Fundamentals of the Finite Element Method for Heat and Fluid Flow

Fundamentals of the Finite Element Method for Heat and Fluid Flow PDF Author: Roland W. Lewis
Publisher: John Wiley and Sons
ISBN: 0470346388
Category : Science
Languages : en
Pages : 357

Book Description
Heat transfer is the area of engineering science which describes the energy transport between material bodies due to a difference in temperature. The three different modes of heat transport are conduction, convection and radiation. In most problems, these three modes exist simultaneously. However, the significance of these modes depends on the problems studied and often, insignificant modes are neglected. Very often books published on Computational Fluid Dynamics using the Finite Element Method give very little or no significance to thermal or heat transfer problems. From the research point of view, it is important to explain the handling of various types of heat transfer problems with different types of complex boundary conditions. Problems with slow fluid motion and heat transfer can be difficult problems to handle. Therefore, the complexity of combined fluid flow and heat transfer problems should not be underestimated and should be dealt with carefully. This book: Is ideal for teaching senior undergraduates the fundamentals of how to use the Finite Element Method to solve heat transfer and fluid dynamics problems Explains how to solve various heat transfer problems with different types of boundary conditions Uses recent computational methods and codes to handle complex fluid motion and heat transfer problems Includes a large number of examples and exercises on heat transfer problems In an era of parallel computing, computational efficiency and easy to handle codes play a major part. Bearing all these points in mind, the topics covered on combined flow and heat transfer in this book will be an asset for practising engineers and postgraduate students. Other topics of interest for the heat transfer community, such as heat exchangers and radiation heat transfer, are also included.

The Intermediate Finite Element Method

The Intermediate Finite Element Method PDF Author: Darrell W. Pepper
Publisher:
ISBN: 9780203736531
Category : TECHNOLOGY & ENGINEERING
Languages : en
Pages : 596

Book Description
"This book is a follow-up to the introductory text written by the same authors. The primary emphasis on this book is linear and nonlinear partial differential equations with particular concentration on the equations of viscous fluid motion. Each chapter describes a particular application of the finite element method and illustrates the concepts through example problems. A comprehensive appendix lists computer codes for 2-D fluid flow and two 3-D transient codes."--Provided by publisher.