Author: Stuart Eames RogersPublisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 52
Book Description
Numerical Solution of the Incompressible Navier-Stokes Equations in Three-dimensional Generalized Curvilinear Coordinates
Author: Stuart Eames RogersPublisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 52
Book Description
Numerical Solution of the Navier-Stokes Equations in a Three-dimensional, General Orthogonal Coordinate System
Author: Stuart Scott OchsDevelopment of a Fractional-step Method for the Unsteady Incompressible Navier-Stokes Equations in Generalized Coordinate Systems
Author: A Solution Procedure for Three-dimensional Incompressible Navier-Stokes Equation and Its Application
Author: Dochan KwakNumerical Simulations Of Incompressible Flows
Author: Mohamed M HafezPublisher: World Scientific
ISBN: 9814486396
Category : Mathematics
Languages : en
Pages : 708
Book Description
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.
A Numerical Study of Incompressible Navier-Stokes Equations in Three-dimensional Cylindrical Coordinates
Author: Douglas Xuedong ZhuPublisher:
ISBN:
Category : Heat
Languages : en
Pages :
Book Description
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.
Numerical Solution of the Incompressible Navier-Stokes Equations about a Three-dimensional Body Using Boundary-fitted Coordinates
Author: Tien Hua FuPublisher:
ISBN:
Category : Laminar flow
Languages : en
Pages : 328
Book Description
Numerical Solution of the Incompressible Navier-Stokes Equations
Author: L. QuartapellePublisher: Birkhäuser
ISBN: 3034885792
Category : Science
Languages : en
Pages : 296
Book Description
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.
A Direct Method for the Solution of Unsteady Two-Dimensional Incompressible Navier-Stokes Equation
Author: K. N. GhiaPublisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 16
Book Description
The unsteady imcompressible Navier-Stokes equations are formulated in terms of vorticity and stream function in generalized curvilinear orthogonal coordinates to facilitate analysis of flow configurations with general geometries. The numerical method developed solves the conservative form of the transport equation using the alternating-direction implicit method, whereas the stream-function equation is solved by direct block Gaussian elimination. The method is applied to a model problem of flow over a back-step in a doubly infinite channel, using clustered conformal coordinates. One-dimensional stretching functions, dependent on the Reynolds number and the asymptotic behavior of the flow, are used to provide suitable grid distribution in the separation and reattachment regions, as well as in the inflow and outflow regions.
Numerical Solution of the Incompressible Navier-Stokes Equations
Author: Stuart Eames RogersPublisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 106
Book Description