Author: Klaus-Jürgen Bathe
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 40
Book Description
A Three-dimensional Fluid Finite Element
Author: Klaus-Jürgen Bathe
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 40
Book Description
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 40
Book Description
A Control Volume Finite Element Method for Three-dimensional, Incompressible, Viscous Fluid Flow
Author: Helmut John Saabas
Publisher:
ISBN:
Category : Viscous flow
Languages : en
Pages : 404
Book Description
Publisher:
ISBN:
Category : Viscous flow
Languages : en
Pages : 404
Book Description
Finite Element Analysis in Fluid Dynamics
Author: T. J. Chung
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 400
Book Description
New York : McGraw-Hill International Book Co., c1978.
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 400
Book Description
New York : McGraw-Hill International Book Co., c1978.
A Control-volume Finite Element Method for Three-dimensional Elliptic Fluid Flow and Heat Transfer
Author: Barbara Le Dain Muir
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 394
Book Description
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 394
Book Description
Finite Element Computational Fluid Mechanics
Author: A. J. Baker
Publisher: Taylor & Francis US
ISBN: 9781560322450
Category : Mathematics
Languages : en
Pages : 534
Book Description
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
Publisher: Taylor & Francis US
ISBN: 9781560322450
Category : Mathematics
Languages : en
Pages : 534
Book Description
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
Finite Element Solution of Interface and Free Surface Three-dimensional Fluid Flow Problems Using Flow-condition-based Interpolation
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 106
Book Description
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.
Publisher:
ISBN:
Category :
Languages : en
Pages : 106
Book Description
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.
A Control Volume Finite Element Method for Three-dimensional, Incompressible, Vicsous Fluid Flow
Author: Helmut John Saabas
Publisher:
ISBN:
Category :
Languages : en
Pages : 808
Book Description
"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." --
Publisher:
ISBN:
Category :
Languages : en
Pages : 808
Book Description
"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
Author: Peter Bettess
Publisher:
ISBN:
Category : Boundary element methods
Languages : en
Pages : 288
Book Description
Publisher:
ISBN:
Category : Boundary element methods
Languages : en
Pages : 288
Book Description
The Finite Element Method for Three-Dimensional Thermomechanical Applications
Author: Guido Dhondt
Publisher: John Wiley & Sons
ISBN: 0470857625
Category : Science
Languages : en
Pages : 362
Book Description
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.
Publisher: John Wiley & Sons
ISBN: 0470857625
Category : Science
Languages : en
Pages : 362
Book Description
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.
Finite Element Modeling of Three-dimensional Fluid Dynamics in Crystal Growth Systems
Author: Jeffrey J. Derby
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
Book Description