Download or read book A Numerical Method for the Incompressible Navier Stokes Equations in Three Dimensional Cylindrical Geometry written by John C. Strikwerda and published by . This book was released on 1986 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors finite difference describe a method for solving the steady, three-dimensional, incompressible Navier-Stokes equations in cylindrical geometry. Also, they present results of computations in which this method is used determine the flow in fluid-filled cylinders undergoing spinning and coning motion. Second-order accurate central finite difference formulas are used to approximate derivatives in the radial and axial directions and a Fourier method is used to approximate the angular derivatives. Nonuniform grids are used to improve the resolution of the velocity and pressure near the cylinder walls. The system of difference equations are solved using an iterative method based on successive-over-relaxation. The method has been found to be very efficient in terms of both computer time and storage. Results of the numerical method applied to the flow in spinning and coning cylinders are presented for several cases for which experimental data are available. In addition, perturbation methods are used to study the data a t small coning speeds and small coning angles. Numerical results of this no-coning limit are compared with both the numerical data and experimental data at low coning conditions.

Download or read book A Numerical Study of Incompressible Navier Stokes Equations in Three dimensional Cylindrical Coordinates written by Douglas Xuedong Zhu and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: This dissertation is on a numerical study in primitive variables of three-dimensional Navier-Stokes equations and energy equation in an annular geometry. A fast direct method is developed to solve the Poisson equation for pressure with Neumann boundary conditions in radial and axial directions, and periodic boundary conditions in azimuthal direction. The velocities and temperature are solved using Douglas-Gunn ADI method, which makes use of an implicit Crank-Nicholson scheme to discretize the governing equations. The numerical method developed in this study, after being validated by comparing the numerical solutions to analytical known solutions and results published in the literature, is then used to study thermocapillary convection, Reyleigh-Benard convection, and Taylor-Couette flow. In the thermocapillary convection in an annulus with heated inner cylinder, the free surface was assumed to be flat. The resulting flow is two-dimensional and axisymmetric. The flow becomes three-dimensional when angular dependent temperature boundary condition is applied on the inner cylinder. Numerical solution of Rayleigh-Benard convection in a shallow annular disk results in two-dimensional axisymmetric flow when the Rayleigh number is above a critical value. A layer of concentric rolls are formed encircling the inner cylinder. The axisymmetricity and concentricity are destroyed by an initial temperature disturbance at a single grid point, or a non-uniform boundary condition on the bottom. Numerical solution of Taylor-Couette flow results in a series of axisymmetric toroidal rolls which encircle the inner cylinder between the cylinders and are stacked in the axial direction when Taylor number exceeds a critical value. As Taylor number further increases, the flow becomes non-axisymmetric and azimuthal waves are formed on the resulting wavy vortex flow.

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.

Download or read book Numerical Solution of the Incompressible Navier Stokes Equations in Three dimensional Generalized Curvilinear Coordinates written by Stuart Eames Rogers and published by . This book was released on 1986 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Navier Stokes Equations Theory and Numerical Methods written by John G. Heywood and published by Springer. This book was released on 2006-11-14 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.

Download or read book Numerical methods for the Navier Stokes equations written by Friedrich-Karl Hebeker and published by Springer-Verlag. This book was released on 2013-07-29 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Simulations Of Incompressible Flows written by Mohamed M Hafez and published by World Scientific. This book was released on 2003-01-23 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas. It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

Download or read book Numerical Solution of the Incompressible Navier Stokes Equations about a Three dimensional Body Using Boundary fitted Coordinates written by Tien Hua Fu and published by . This book was released on 1979 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Numerical Method for Solving the Three dimensional Parabolized Navier Stokes Equations written by Domenic Dambrosio and published by . This book was released on 1995 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Solution Procedure for Three dimensional Incompressible Navier Stokes Equation and Its Application written by Dochan Kwak and published by . This book was released on 1984 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Development of a Fractional step Method for the Unsteady Incompressible Navier Stokes Equations in Generalized Coordinate Systems written by and published by . This book was released on 1992 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Navier Stokes Equations II Theory and Numerical Methods written by John G. Heywood and published by Lecture Notes in Mathematics. This book was released on 1992-12-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.A. Solonnikov, A. Tani: Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid.- W. Borchers, T. Miyakawa:On some coercive estimates for the Stokes problem in unbounded domains.- R. Farwig, H. Sohr: An approach to resolvent estimates for the Stokes equations in L(q)-spaces.- R. Rannacher: On Chorin's projection method for the incompressible Navier-Stokes equations.- E. S}li, A. Ware: Analysis of the spectral Lagrange-Galerkin method for the Navier-Stokes equations.- G. Grubb: Initial value problems for the Navier-Stokes equations with Neumann conditions.- B.J. Schmitt, W. v.Wahl: Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the Boussinesq-equations.- O. Walsh: Eddy solutions of the Navier-Stokesequations.- W. Xie: On a three-norm inequality for the Stokes operator in nonsmooth domains.

Download or read book Behavior of Solutions of the Navier Stokes Equations for a Complete Class of Three dimensional Viscous Vortices written by Coleman duP. Donaldson and published by . This book was released on 1960 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Problems Relating To The Navier stokes Equations written by Giovanni Paolo Galdi and published by World Scientific. This book was released on 1992-08-14 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: A New Approach to the Helmholtz Decomposition and the Neumann Problem in Lq-Spaces for Bounded and Exterior Domains (C G Simader & H Sohr)On the Energy Equation and on the Uniqueness for D-Solutions to Steady Navier-Stokes Equations in Exterior Domains (G P Galdi)On the Asymptotic Structure of D-Solutions to Steady Navier-Stokes Equations in Exterior Domains (G P Galdi)On the Solvability of an Evolution Free Boundary Problem for the Navier-Stokes Equation in Hölder Spaces of Functions (I S Mogilevskii & V A Solonnikov) Readership: Applied mathematicians.

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1972 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: