A Control Volume Finite Element Method for Three-dimensional, Incompressible, Viscous Fluid Flow
Author | : Helmut John Saabas |
Publisher | : |
Total Pages | : 404 |
Release | : 1991 |
Genre | : Viscous flow |
ISBN | : |
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Author | : Helmut John Saabas |
Publisher | : |
Total Pages | : 404 |
Release | : 1991 |
Genre | : Viscous flow |
ISBN | : |
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." --
Author | : Roland Glowinski |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 236 |
Release | : 2022-09-20 |
Genre | : Mathematics |
ISBN | : 3110785056 |
This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.
Author | : Vaughan R. Voller |
Publisher | : World Scientific |
Total Pages | : 185 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 9812834982 |
The Control Volume Finite Element Method (CVFEM) is a hybrid numerical methods, combining the physics intuition of Control Volume Methods with the geometric flexibility of Finite Element Methods. The concept of this monograph is to introduce a common framework for the CVFEM solution so that it can be applied to both fluid flow and solid mechanics problems. To emphasize the essential ingredients, discussion focuses on the application to problems in two-dimensional domains which are discretized with linear-triangular meshes. This allows for a straightforward provision of the key information required to fully construct working CVFEM solutions of basic fluid flow and solid mechanics problems.
Author | : Barbara Le Dain Muir |
Publisher | : |
Total Pages | : 394 |
Release | : 1983 |
Genre | : Finite element method |
ISBN | : |
Author | : J. N. Reddy |
Publisher | : CRC Press |
Total Pages | : 515 |
Release | : 2010-04-06 |
Genre | : Science |
ISBN | : 1420085980 |
As Computational Fluid Dynamics (CFD) and Computational Heat Transfer (CHT) evolve and become increasingly important in standard engineering design and analysis practice, users require a solid understanding of mechanics and numerical methods to make optimal use of available software. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures—particularly the Finite Element Method (FEM)—to important problems associated with heat conduction, incompressible viscous flows, and convection heat transfer. This book follows the tradition of the bestselling previous editions, noted for their concise explanation and powerful presentation of useful methodology tailored for use in simulating CFD and CHT. The authors update research developments while retaining the previous editions’ key material and popular style in regard to text organization, equation numbering, references, and symbols. This updated third edition features new or extended coverage of: Coupled problems and parallel processing Mathematical preliminaries and low-speed compressible flows Mode superposition methods and a more detailed account of radiation solution methods Variational multi-scale methods (VMM) and least-squares finite element models (LSFEM) Application of the finite element method to non-isothermal flows Formulation of low-speed, compressible flows With its presentation of realistic, applied examples of FEM in thermal and fluid design analysis, this proven masterwork is an invaluable tool for mastering basic methodology, competently using existing simulation software, and developing simpler special-purpose computer codes. It remains one of the very best resources for understanding numerical methods used in the study of fluid mechanics and heat transfer phenomena.
Author | : Max D. Gunzburger |
Publisher | : Elsevier |
Total Pages | : 292 |
Release | : 2012-12-02 |
Genre | : Technology & Engineering |
ISBN | : 0323139825 |
Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.
Author | : Chuan Wang |
Publisher | : |
Total Pages | : 230 |
Release | : 1995 |
Genre | : Finite element method |
ISBN | : |
Author | : Mohsen Sheikholeslami |
Publisher | : Elsevier |
Total Pages | : 782 |
Release | : 2018-09-14 |
Genre | : Technology & Engineering |
ISBN | : 0128141530 |
Application of Control Volume Based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer discusses this powerful numerical method that uses the advantages of both finite volume and finite element methods for the simulation of multi-physics problems in complex geometries, along with its applications in heat transfer and nanofluid flow. The book applies these methods to solve various applications of nanofluid in heat transfer enhancement. Topics covered include magnetohydrodynamic flow, electrohydrodynamic flow and heat transfer, melting heat transfer, and nanofluid flow in porous media, all of which are demonstrated with case studies. This is an important research reference that will help readers understand the principles and applications of this novel method for the analysis of nanofluid behavior in a range of external forces. - Explains governing equations for nanofluid as working fluid - Includes several CVFEM codes for use in nanofluid flow analysis - Shows how external forces such as electric fields and magnetic field effects nanofluid flow