scispace - formally typeset
Open Access

Numerical integration of the navier-stokes equations in two dimensions.

S. C. R. Dennis, +1 more
Reads0
Chats0
TLDR
In this paper, a numerical method for solving the Navier-Stokes equations is described, and results for steady flow past a circular cylinder for Reynolds numbers up to 100 and past an elliptic cylinder up to 200 are given.
Abstract: 
: A numerical method is described for solving the two-dimensional Navier-Stokes equations. Results for steady flow past a circular cylinder for Reynolds numbers up to 100, and past an elliptic cylinder for Reynolds numbers up to 200, are given. (Author)

read more

Content maybe subject to copyright    Report

Citations
More filters
Journal ArticleDOI

Viscous flow past circular cylinders

F. Nieuwstadt, +1 more
- 01 Jan 1973 - 
TL;DR: In this article, a semi-analytical method of series truncation is used to express the stream function and the vorticity in a finite Fourier series and the resulting nonlinear equation are solved unsing Newton's method.
Journal ArticleDOI

Steady and unsteady flow past a rotating circular cylinder at low Reynolds numbers

Hassan M. Badr, +2 more
- 03 Jan 1989 - 
TL;DR: In this paper, the Navier-Stokes equations for incompressible fluids are used to model the steady and unsteady flows past a circular cylinder, which is assumed to be two-dimensional.
Journal ArticleDOI

A theoretical study of laminar mixed convection from a horizontal cylinder in a cross stream

Hassan M. Badr
- 01 May 1983 - 
TL;DR: In this paper, the problem of laminar mixed convection from a horizontal isothermal cylinder is considered and the free stream direction is assumed to be horizontal and perpendicular to the cylinder axis.
Journal ArticleDOI

Steady flow past an elliptic cylinder inclined to the stream

S. C. R. Dennis, +1 more
- 01 Oct 2003 - 
TL;DR: In this paper, the Navier-Stokes equations for incompressible fluids are solved in such a way that the vorticity decays rapidly enough at large distances from the cylinder for the lift and drag on the cylinder to be finite.
Journal ArticleDOI

Time-dependent solutions of the viscous incompressible flow past a circular cylinder by the method of series truncation

V.A. Patel
- 01 Mar 1976 - 
TL;DR: In this article, semi-analytic solutions of the Navier-Stokes equations are calculated for two-dimensional, symmetrical, viscous incompressible flow past a circular cylinder.
Related Papers (5)

The vector and scalar potential method for the numerical solution of two- and three-dimensional Navier-Stokes equations

Y.A.S. Aregbesola, +1 more
- 01 Aug 1977 - 

Numerical Solution of the Three-Dimensional Navier-Stokes Equations in Integro-Differential Form: Flow About a Finite Body,

J. F. Thompson, +2 more

Zonal Solutions for Airfoils Using Euler, Boundary-Layer and Navier-Stokes Equations,

M. A. Schmatz, +1 more

Investigation of hypersonic three-dimensional flow past blunt bodies within the framework of the parabolized Navier-Stokes equations

É. A. Gershbein, +1 more
- 01 Jan 1988 - 

Numerical solutions of time-dependent incompressible Navier-Stokes equations using an integro-differential formulation

J.C. Wu, +1 more
- 01 Jun 1973 -