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Author : Aleksei Ilyich Shestakov
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.:/5 (34 download)
Download or read book Numerical Solution of Navier - Stokes Equations at High Reynolds Numbers written by Aleksei Ilyich Shestakov and published by . This book was released on 1975 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Solution of the Navier--Stokes Equations at High Reynolds Numbers written by and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical method is presented which is designed to solve the Navier- Stokes equations for two-dimensional, incompressible flow. The method is intended for use on problems with high Reynolds numbers for which calculations via finite difference methods have been unattainable or unreliable. The proposed scheme is a hybrid utilizing a time-splitting finite difference method in areas away from the boundaries. In areas neighboring the boundaries, the equations of motion are solved by the newly proposed vortex method by Chorin. The major accomplishment of the new scheme is that it contains a simple way for merging the two methods at the interface of the two subdomains. The proposed algorithm is designed for use on the time-dependent equations but can be used on steady state problems as well. The method is tested on the popular, time-independent, square cavity problem, an example of a separated flow with closed streamlines. Numerical results are presented for a Reynolds number of 103. (auth).
Author : David Seitz Thompson
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (712 download)
Download or read book Numerical Solution of the Navier-Stokes Equations for High Reynolds Number Incompressible Turbulent Flow written by David Seitz Thompson and published by . This book was released on 1980 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henri Viviand
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)
Download or read book Numerical Solution of the Compressible Navier-stokes Equations at High Reynolds Numbers with Applications to the Blunt Body Problem written by Henri Viviand and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. J. Smolderen
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.0/5 ( download)
Download or read book Numerical Methods in Fluid Dynamics written by J. J. Smolderen and published by . This book was released on 1972 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John H. Bearden
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.:/5 (435 download)
Download or read book A High Reynolds Number Numerical Solution of the Navier-Stokes Equations in Stream Function-vorticity Form written by John H. Bearden and published by . This book was released on 1977 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (317 download)
Download or read book Numerical Solution of Compressible Viscous Flows at High Reynolds Numbers written by and published by . This book was released on 1981 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Padam Jain
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (227 download)
Download or read book Numerical Study of the Navier Stokes Equations in Three Dimensions written by Padam Jain and published by . This book was released on 1967 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: To investigate the process of energy transfer from large eddies to smaller ones at high Reynolds Numbers, a finite difference method is used to obtain the periodic solutions of the Navier-Stokes equations in three dimensions when the initial motion is assumed to be v sub 1 = cos x sin y sin z, v sub 2 = -sin x cos y sin z, v sub 3 = 0. A numerical technique for the solution of Poisson's equation for the three dimensional problem is described and used for the solution of the problem. Mean kinetic energy and mean square vorticity are calculated and it is found that the numerical method provides estimates of these quantities up to a time of the order of 2. The structure of the turbulent flow is investigated by a study of the velocity correlation function R sub ij. (Author).
Author : Badr Alkahtani
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (861 download)
Download or read book Numerical Solutions to the Navier-Stokes Equations in Two and Three Dimensions written by Badr Alkahtani and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis the solutions of the two-dimensional (2D) and three-dimensional (3D) lid-driven cavity problem are obtained by solving the steady Navier-Stokes equations at high Reynolds numbers. In 2D, we use the streamfunction-vorticity formulation to solve the problem in a square domain. A numerical method is employed to discretize the problem in the x and y directions with a spectral collocation method. The problem is coded in the MATLAB programming environment. Solutions at high Reynolds numbers are obtained up to $Re=25000$ on a fine grid of 131 * 131. The same method is also used to obtain the numerical solutions for the steady separated corner flow at high Reynolds numbers are generated using a for various domain sizes, at various Reynolds number which are much higher than those obtained by other researchers. Finally, the numerical solutions for the three-dimensional lid-driven cavity problem are obtained by solving the velocity-vorticity formulation of the Navier-Stokes equations for various Reynolds numbers. A spectral collocation method is employed to discretize the y and z directions and finite difference method is used to discretize the x direction. Numerical solutions are obtained for Reynolds number up to 200.
Author : Wolfgang Hackbusch
Publisher : Springer-Verlag
ISBN 13 : 3663140040
Total Pages : 174 pages
Book Rating : 4.6/5 (631 download)
Download or read book Numerical Treatment of the Navier-Stokes Equations written by Wolfgang Hackbusch and published by Springer-Verlag. This book was released on 2013-09-03 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Blanca Bermúdez
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (115 download)
Download or read book Two Different Formulations for Solving the Navier-Stokes Equations with Moderate and High Reynolds Numbers written by Blanca Bermúdez and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, we discuss the numerical solution of the Taylor vortex and the lid-driven cavity problems. Both problems are solved using the Stream function-vorticity formulation of the Navier-Stokes equations in 2D. Results are obtained using a fixed point iterative method and working with matrixes A and B resulting from the discretization of the Laplacian and the advective term, respectively. We solved both problems with Reynolds numbers in the range of 3200 ≤ Re ≤ 7500. Results are also obtained using the velocity-vorticity formulation of the Navier-Stokes equations. In this case, we are using only the fixed point iterative method. We present results for the lid-driven cavity problem and for the Stream function-vorticity formulation with Reynolds numbers in the range of 3200 ≤ Re ≤ 7500. As the Reynolds number increases, the time and the space step size have to be refined. We show results for 3200 ≤ Re ≤ 20,000. The numerical scheme with the velocity-vorticity formulation uses a smaller step size for both time and space. Results are not as good as with the Stream function-vorticity formulation, although the way the scheme behaves gives us another point of view on the behavior of fluids under different numerical schemes and different formulation.
Author : Leo F. Donovan
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (31 download)
Download or read book Numerical Solution of the Unsteady Navier-Stokes Equations and Application to Flow in a Rectangular Cavity with a Moving Wall written by Leo F. Donovan and published by . This book was released on 1971 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles R. Doering
Publisher : Cambridge University Press
ISBN 13 : 9780521445689
Total Pages : 236 pages
Book Rating : 4.4/5 (456 download)
Download or read book Applied Analysis of the Navier-Stokes Equations written by Charles R. Doering and published by Cambridge University Press. This book was released on 1995 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.
Author : Paolo Orlandi
Publisher : Springer Science & Business Media
ISBN 13 : 9401142815
Total Pages : 369 pages
Book Rating : 4.4/5 (11 download)
Download or read book Fluid Flow Phenomena written by Paolo Orlandi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the simulation of the incompressible Navier-Stokes equations for laminar and turbulent flows. The book is limited to explaining and employing the finite difference method. It furnishes a large number of source codes which permit to play with the Navier-Stokes equations and to understand the complex physics related to fluid mechanics. Numerical simulations are useful tools to understand the complexity of the flows, which often is difficult to derive from laboratory experiments. This book, then, can be very useful to scholars doing laboratory experiments, since they often do not have extra time to study the large variety of numerical methods; furthermore they cannot spend more time in transferring one of the methods into a computer language. By means of numerical simulations, for example, insights into the vorticity field can be obtained which are difficult to obtain by measurements. This book can be used by graduate as well as undergraduate students while reading books on theoretical fluid mechanics; it teaches how to simulate the dynamics of flow fields on personal computers. This will provide a better way of understanding the theory. Two chapters on Large Eddy Simulations have been included, since this is a methodology that in the near future will allow more universal turbulence models for practical applications. The direct simulation of the Navier-Stokes equations (DNS) is simple by finite-differences, that are satisfactory to reproduce the dynamics of turbulent flows. A large part of the book is devoted to the study of homogeneous and wall turbulent flows. In the second chapter the elementary concept of finite difference is given to solve parabolic and elliptical partial differential equations. In successive chapters the 1D, 2D, and 3D Navier-Stokes equations are solved in Cartesian and cylindrical coordinates. Finally, Large Eddy Simulations are performed to check the importance of the subgrid scale models. Results for turbulent and laminar flows are discussed, with particular emphasis on vortex dynamics. This volume will be of interest to graduate students and researchers wanting to compare experiments and numerical simulations, and to workers in the mechanical and aeronautic industries.
Author : Douglas L. Dwoyer
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.:/5 (31 download)
Download or read book Velocity-split Navier-Stokes Solution Procedure for Imcompressible High Reynolds Number External Flows written by Douglas L. Dwoyer and published by . This book was released on 1980 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Victor
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)
Download or read book Numerical Solutions of the Incompressible Navier-Stokes Equations in Two and Three-Dimensional Coordinates written by Alexander Victor and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important applications of finite difference lies in the field of computational fluid dynamics (CFD). In particular, the solution to the Navier-Stokes equation grants us insight into the behavior of many physical systems. The 2-D and 3-D incompressible Navier-Stokes equation has been studied extensively due to its analogous nature to many practical applications, and several numerical schemes have been developed to provide solutions dedicated to different environmental conditions (such as different Reynolds numbers). This research also covers the assignment of boundary conditions, starting with the simple case of driven cavity flow problem. In addition, several parts of the equations are given implicitly, which requires efficient ways of solving large systems of equations.We also considered numerical solution methods for the incompressible Navier-Stokes equations discretized on staggered grids in general coordinates. Numerical experiments are carried out on a vector computer. Robustness and efficiency of these methods are studied. It appears that good methods result from suitable combinations of multigrid methods.Numerically solving the incompressible Navier-Stokes equations is known to be time-consuming and expensive; hence this research presents some MATLAB codes for obtaining numerical solution of the Navier-Stokes equations for incompressible flow through flow cavities, using method of lines, in three-dimensional space (3-D). The code treats the laminar flow over a two-dimensional backward-facing step, and the results of the computations over the backward-facing step are in excellent agreement with experimental results.
Author : Herbert Bishop Keller
Publisher : American Mathematical Soc.
ISBN 13 : 9780821813317
Total Pages : 286 pages
Book Rating : 4.8/5 (133 download)
Download or read book Computational Fluid Dynamics written by Herbert Bishop Keller and published by American Mathematical Soc.. This book was released on 1978 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
