A Control-volume-based Finite-element Method for Solving the Three-dimensional Navier-Stokes Equations
Author: Michael James Roth
Publisher:
Published: 1997
Total Pages: 176
ISBN-13:
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Author: Michael James Roth
Publisher:
Published: 1997
Total Pages: 176
ISBN-13:
DOWNLOAD EBOOKAuthor: Shrinivas G. Apte
Publisher:
Published: 2012
Total Pages:
ISBN-13:
DOWNLOAD EBOOKA primitive variable mixed order formulation of finite element method for solving three dimensional incompressible Navier-Stokes equations is presented. The method of weighted residuals is used for obtaining the approximate solutions of linear and nonlinear partial differential equations. The Physical domain is discretized by using unstructured tetrahedral elements. Unequal order interpolation functions are used for pressure & velocity variables while the temporal discretization is carried out by using an implicit time marching scheme based on finite differencing. One of the major diffculties arising during the finite element solution of an incompressible Navier-Stokes equations is the efficient factorization/preconditioning of the resulting indefinite stiffness matrix. In this work, the formation of an indefinite matrix is avoided by using a pseudo compressibility technique in which an artificial term is introduced into the mass matrix. The artificial term is time dependent and disposed at a later stage once the steady state is reached. Using this approach, the resulting system of equations can then be solved iteratively with standard preconditioners. The non-linear convective term in the Navier-Stokes equations is linearized in time. To diffuse the numerical oscillations which may occur in convection dominated flows, second-orderTaylor-Galerkinstabilization technique is used. The entire solution procedure is encoded in C++ using object oriented programming. One of the special features of this FEM code is that it uses the exact integrals of the shape functions in order to improve the accuracy of the solution, as supposed to any numerical integration schemes. The solution procedure is validated using the benchmark computations for 3D steady incompressible flows.
Author: Bo-nan Jiang
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 425
ISBN-13: 3662037408
DOWNLOAD EBOOKThis is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.
Author: Vaughan R. Voller
Publisher: World Scientific
Published: 2009
Total Pages: 185
ISBN-13: 9812834990
DOWNLOAD EBOOKThe Control Volume Finite Element Method (CVFEM) is a hybrid numerical method, 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: Helmut John Saabas
Publisher:
Published: 1991
Total Pages: 404
ISBN-13:
DOWNLOAD EBOOKAuthor: Hsiao-Wen Lin
Publisher:
Published: 1989
Total Pages: 238
ISBN-13:
DOWNLOAD EBOOKAuthor: Barbara Le Dain Muir
Publisher:
Published: 1983
Total Pages: 394
ISBN-13:
DOWNLOAD EBOOKAuthor: Giovanni P. Galdi
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 300
ISBN-13: 3034884249
DOWNLOAD EBOOKThis volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.
Author: Helmut John Saabas
Publisher:
Published: 1991
Total Pages: 808
ISBN-13:
DOWNLOAD EBOOK"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: Michel Robichaud
Publisher:
Published: 1985
Total Pages: 170
ISBN-13:
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