Finite Element Computational Fluid Mechanics

Finite Element Computational Fluid Mechanics
Author: A. J. Baker
Publisher: Taylor & Francis US
Total Pages: 534
Release: 1983-01-01
Genre: Mathematics
ISBN: 9781560322450

Aimed at advanced level undergraduates, engineers and scientists, this text derives, develops and applies finite-element solution methodology directly to the differential equation systems governing distinct and practical problem classes in fluid

A Control Volume Finite Element Method for Three-dimensional, Incompressible, Vicsous Fluid Flow

A Control Volume Finite Element Method for Three-dimensional, Incompressible, Vicsous Fluid Flow
Author: Helmut John Saabas
Publisher:
Total Pages: 808
Release: 1991
Genre:
ISBN:

"The proposed method has been implemented into computer programs, and used to solve several test problems. These include convection-diffusion problems, and laminar and turbulent flow problems, in both two- and three-dimensions. The results demonstrate the ability of the proposed CVFEM to accurately solve the mathematical model used in this thesis." --

Infinite Elements

Infinite Elements
Author: Peter Bettess
Publisher:
Total Pages: 288
Release: 1992
Genre: Boundary element methods
ISBN:

Finite Element Solution of Interface and Free Surface Three-dimensional Fluid Flow Problems Using Flow-condition-based Interpolation

Finite Element Solution of Interface and Free Surface Three-dimensional Fluid Flow Problems Using Flow-condition-based Interpolation
Author:
Publisher:
Total Pages: 106
Release: 2015
Genre:
ISBN:

The necessity for a highly accurate simulation scheme of free surface flows is emphasized in various industrial and scientific applications. To obtain an accurate response prediction, mass conservation must be satisfied. Due to a continuously moving fluid domain, however, it is a challenge to maintain the volume of the fluid while calculating the dynamic responses of free surfaces, especially when seeking solutions for long time durations. This thesis describes how the difficulty can be overcome by proper employment of an Arbitrary Lagrangian Eulerian (ALE) method derived from the Reynolds transport theorem to compute unsteady Newtonian flows including fluid interfaces and free surfaces. The proposed method conserves mass very accurately and obtains stable and accurate results with very large solution steps and even coarse meshes. The continuum mechanics equations are formulated, and the Navier-Stokes equations are solved using a 'flow-condition-based interpolation' (FCBI) scheme. The FCBI method uses exponential interpolations derived from the analytical solution of the 1-dimensional advection-diffusion equation. The thesis revisits the 2-dimensional FCBI method with special focus on the application to flow problems in highly nonlinear moving domains with interfaces and free surfaces, and develops an effective 3-D FCBI tetrahedral element for such applications. The newly developed 3-D FCBI solution scheme can solve flow problems of a wide range since it can handle highly nonlinear and unsteady flow conditions, even when large mesh distortions occur. Various example solutions are given to show the effectiveness of the developed solution schemes.

The Finite Element Method for Three-Dimensional Thermomechanical Applications

The Finite Element Method for Three-Dimensional Thermomechanical Applications
Author: Guido Dhondt
Publisher: John Wiley & Sons
Total Pages: 362
Release: 2004-11-19
Genre: Science
ISBN: 0470857625

Though many 'finite element' books exist, this book provides a unique focus on developing the method for three-dimensional, industrial problems. This is significant as many methods which work well for small applications fail for large scale problems, which generally: are not so well posed introduce stringent computer time conditions require robust solution techniques. Starting from sound continuum mechanics principles, derivation in this book focuses only on proven methods. Coverage of all different aspects of linear and nonlinear thermal mechanical problems in solids are described, thereby avoiding distracting the reader with extraneous solutions paths. Emphasis is put on consistent representation and includes the examination of topics which are not frequently found in other texts, such as cyclic symmetry, rigid body motion and nonlinear multiple point constraints. Advanced material formulations include anisotropic hyperelasticity, large strain multiplicative viscoplasticity and single crystal viscoplasticity. Finally, the methods described in the book are implemented in the finite element software CalculiX, which is freely available (www.calculix.de; the GNU General Public License applies). Suited to industry practitioners and academic researchers alike, The Finite Element Method for Three-Dimensional Thermomechanical Applications expertly bridges the gap between continuum mechanics and the finite element method.

The Finite Element Method

The Finite Element Method
Author: Darrell W. Pepper
Publisher: Taylor & Francis
Total Pages: 326
Release: 2005-10-31
Genre: Technology & Engineering
ISBN: 0203942353

This much-anticipated second edition introduces the fundamentals of the finite element method featuring clear-cut examples and an applications-oriented approach. Using the transport equation for heat transfer as the foundation for the governing equations, this new edition demonstrates the versatility of the method for a wide range of applications, including structural analysis and fluid flow. Much attention is given to the development of the discrete set of algebraic equations, beginning with simple one-dimensional problems that can be solved by inspection, continuing to two- and three-dimensional elements, and ending with three chapters describing applications. The increased number of example problems per chapter helps build an understanding of the method to define and organize required initial and boundary condition data for specific problems. In addition to exercises that can be worked out manually, this new edition refers to user-friendly computer codes for solving one-, two-, and three-dimensional problems. Among the first FEM textbooks to include finite element software, the book contains a website with access to an even more comprehensive list of finite element software written in FEMLAB, MAPLE, MathCad, MATLAB, FORTRAN, C++, and JAVA - the most popular programming languages. This textbook is valuable for senior level undergraduates in mechanical, aeronautical, electrical, chemical, and civil engineering. Useful for short courses and home-study learning, the book can also serve as an introduction for first-year graduate students new to finite element coursework and as a refresher for industry professionals. The book is a perfect lead-in to Intermediate Finite Element Method: Fluid Flow and Heat and Transfer Applications (Taylor & Francis, 1999, Hb 1560323094).