Solution of the Steady and Unsteady Incompressible Navier-Stokes Equations Using the Finite Element Method

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ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.:/5 (473 download)

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Book Synopsis Solution of the Steady and Unsteady Incompressible Navier-Stokes Equations Using the Finite Element Method by : O. R. Sørensen

Download or read book Solution of the Steady and Unsteady Incompressible Navier-Stokes Equations Using the Finite Element Method written by O. R. Sørensen and published by . This book was released on 1988 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solution to Three Dimensional Incompressible Navier-Stokes Equations Using Finite Element Method

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (847 download)

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Book Synopsis Solution to Three Dimensional Incompressible Navier-Stokes Equations Using Finite Element Method by : Shrinivas G. Apte

Download or read book Solution to Three Dimensional Incompressible Navier-Stokes Equations Using Finite Element Method written by Shrinivas G. Apte and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A 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.

Least-Squares Solution of Incompressible Navier-Stokes Equations with the P-Version of Finite Elements

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Publisher : Independently Published
ISBN 13 : 9781792834691
Total Pages : 32 pages
Book Rating : 4.8/5 (346 download)

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Book Synopsis Least-Squares Solution of Incompressible Navier-Stokes Equations with the P-Version of Finite Elements by : National Aeronautics and Space Adm Nasa

Download or read book Least-Squares Solution of Incompressible Navier-Stokes Equations with the P-Version of Finite Elements written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2019 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: A p-version of the least squares finite element method, based on the velocity-pressure-vorticity formulation, is developed for solving steady state incompressible viscous flow problems. The resulting system of symmetric and positive definite linear equations can be solved satisfactorily with the conjugate gradient method. In conjunction with the use of rapid operator application which avoids the formation of either element of global matrices, it is possible to achieve a highly compact and efficient solution scheme for the incompressible Navier-Stokes equations. Numerical results are presented for two-dimensional flow over a backward facing step. The effectiveness of simple outflow boundary conditions is also demonstrated. Jiang, Bo-Nan and Sonnad, Vijay Glenn Research Center NASA-TM-105203, ICOMP-91-14, E-6506, NAS 1.15:105203 NASA ORDER C-99066-G...

Least-squares Solution of Incompressible Navier-Stokes Equations with the P-version of Finite Elements

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ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Least-squares Solution of Incompressible Navier-Stokes Equations with the P-version of Finite Elements by : Bo-nan Jiang

Download or read book Least-squares Solution of Incompressible Navier-Stokes Equations with the P-version of Finite Elements written by Bo-nan Jiang and published by . This book was released on 1991 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Least-Squares Finite Element Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 0387689222
Total Pages : 669 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Least-Squares Finite Element Methods by : Pavel B. Bochev

Download or read book Least-Squares Finite Element Methods written by Pavel B. Bochev and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.

Finite Element Methods for Flow Problems

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Publisher : John Wiley & Sons
ISBN 13 : 9780471496663
Total Pages : 366 pages
Book Rating : 4.4/5 (966 download)

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Book Synopsis Finite Element Methods for Flow Problems by : Jean Donea

Download or read book Finite Element Methods for Flow Problems written by Jean Donea and published by John Wiley & Sons. This book was released on 2003-06-02 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Die Finite-Elemente-Methode, eines der wichtigsten in der Technik verwendeten numerischen Näherungsverfahren, wird hier gründlich und gut verständlich, aber ohne ein Zuviel an mathematischem Formalismus abgehandelt. Insbesondere geht es um die Anwendung der Methode auf Strömungsprobleme. Alle wesentlichen aktuellen Forschungsergebnisse wurden in den Band aufgenommen; viele davon sind bisher nur verstreut in der Originalliteratur zu finden.

Accuracy of Least-squares Methods for the Navier-Stokes Equations

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ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Accuracy of Least-squares Methods for the Navier-Stokes Equations by : Pavel B. Bochev

Download or read book Accuracy of Least-squares Methods for the Navier-Stokes Equations written by Pavel B. Bochev and published by . This book was released on 1993 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Finite Element Solution of the Time-dependent Incompressible Navier-Stokes Equations Using a Modified Velocity Correction Method

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ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (131 download)

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Book Synopsis A Finite Element Solution of the Time-dependent Incompressible Navier-Stokes Equations Using a Modified Velocity Correction Method by : Guang Ren

Download or read book A Finite Element Solution of the Time-dependent Incompressible Navier-Stokes Equations Using a Modified Velocity Correction Method written by Guang Ren and published by . This book was released on 1993 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Solution of Incompressible Navier-Stokes Equations Using a Velocity-vorticity Formulation

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Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.:/5 (47 download)

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Book Synopsis Numerical Solution of Incompressible Navier-Stokes Equations Using a Velocity-vorticity Formulation by : Jennifer Samson Dacles

Download or read book Numerical Solution of Incompressible Navier-Stokes Equations Using a Velocity-vorticity Formulation written by Jennifer Samson Dacles and published by . This book was released on 1991 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Solution of the Incompressible Navier-Stokes Equations

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Publisher : Birkhäuser
ISBN 13 : 3034885792
Total Pages : 296 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Numerical Solution of the Incompressible Navier-Stokes Equations by : L. Quartapelle

Download or read book Numerical Solution of the Incompressible Navier-Stokes Equations written by L. Quartapelle and published by Birkhäuser. This book was released on 2013-03-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.

Finite Element Solutions of Axisymmetric Navier-Stokes Equations for Non-isothermal Flows with Swirl

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ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (56 download)

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Book Synopsis Finite Element Solutions of Axisymmetric Navier-Stokes Equations for Non-isothermal Flows with Swirl by : ShuShi Huang

Download or read book Finite Element Solutions of Axisymmetric Navier-Stokes Equations for Non-isothermal Flows with Swirl written by ShuShi Huang and published by . This book was released on 1996 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solution of the Navier-Stokes equations for transient two-dimensional incompressible flow by the finite element method

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (111 download)

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Book Synopsis Solution of the Navier-Stokes equations for transient two-dimensional incompressible flow by the finite element method by : Stewart Laurence Smith

Download or read book Solution of the Navier-Stokes equations for transient two-dimensional incompressible flow by the finite element method written by Stewart Laurence Smith and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Least-Squares Finite Element Method for Incompressible Navier-Stokes Problems

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722005139
Total Pages : 24 pages
Book Rating : 4.0/5 (51 download)

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Book Synopsis A Least-Squares Finite Element Method for Incompressible Navier-Stokes Problems by : National Aeronautics and Space Administration (NASA)

Download or read book A Least-Squares Finite Element Method for Incompressible Navier-Stokes Problems written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-28 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: A least-squares finite element method, based on the velocity-pressure-vorticity formulation, is developed for solving steady incompressible Navier-Stokes problems. This method leads to a minimization problem rather than to a saddle-point problem by the classic mixed method, and can thus accommodate equal-order interpolations. This method has no parameter to tune. The associated algebraic system is symmetric, and positive definite. Numerical results for the cavity flow at Reynolds number up to 10,000 and the backward-facing step flow at Reynolds number up to 900 are presented. Jiang, Bo-Nan Glenn Research Center NASA ORDER C-99066-G; RTOP 505-62-21...

Numerical Solutions of Unsteady Incompressible Navier-Stokes Equations Using an Explicit Finite Analytic Scheme

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ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.:/5 (339 download)

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Book Synopsis Numerical Solutions of Unsteady Incompressible Navier-Stokes Equations Using an Explicit Finite Analytic Scheme by : Weizhong Dai

Download or read book Numerical Solutions of Unsteady Incompressible Navier-Stokes Equations Using an Explicit Finite Analytic Scheme written by Weizhong Dai and published by . This book was released on 1994 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Finite Element Solution Algorithm for the Navier-Stokes Equations

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Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis A Finite Element Solution Algorithm for the Navier-Stokes Equations by : A. J. Baker

Download or read book A Finite Element Solution Algorithm for the Navier-Stokes Equations written by A. J. Baker and published by . This book was released on 1974 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: A finite element solution algorithm is established for the two-dimensional Navier-Stokes equations governing the steady-state kinematics and thermodynamics of a variable viscosity, compressible multiple-species fluid. For an incompressible fluid, the motion may be transient as well. The primitive dependent variables are replaced by a vorticity-streamfunction description valid in domains spanned by rectangular, cylindrical and spherical coordinate systems. Use of derived variables provides a uniformly elliptic partial differential equation description for the Navier-Stokes system, and for which the finite element algorithm is established. Explicit non-linearity is accepted by the theory, since no psuedo-variational principles are employed, and there is no requirement for either computational mesh or solution domain closure regularity. Boundary condition constraints on the normal flux and tangential distribution of all computational variables, as well as velocity, are routinely piecewise enforceable on domain closure segments arbitrarily oriented with respect to a global reference frame.

Approximating the Incompressible Navier Stokes Equations Using a Two Level Finite Element Method

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ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Approximating the Incompressible Navier Stokes Equations Using a Two Level Finite Element Method by : Ali Ihsan Nesliturk

Download or read book Approximating the Incompressible Navier Stokes Equations Using a Two Level Finite Element Method written by Ali Ihsan Nesliturk and published by . This book was released on 1999 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solution of the Time-dependent, Incompressible Navier-stokes Equations Va̕ a Modified Finite Elements Method

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (948 download)

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Book Synopsis Solution of the Time-dependent, Incompressible Navier-stokes Equations Va̕ a Modified Finite Elements Method by : Philip M. Gresho

Download or read book Solution of the Time-dependent, Incompressible Navier-stokes Equations Va̕ a Modified Finite Elements Method written by Philip M. Gresho and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: