Numerical Solution of the Navier-Stokes Equations

Open Access

1 October 1968

journal article
Published by JSTOR in Mathematics of Computation

Vol. 22 (104) , 745-762
https://doi.org/10.2307/2004575

Abstract

A finite-difference method for solving the time-dependent NavierStokes equations for an incompressible fluid is introduced. This method uses the primitive variables, i.e. the velocities and the pressure, and is equally applicable to problems in two and three space dimensions. Test problems are solved, and an application to a three-dimensional convection problem is presented.

Keywords

This publication has 3 references indexed in Scilit:

The numerical solution of the Navier-Stokes equations for an incompressible fluid
Bulletin of the American Mathematical Society, 1967
On the Navier-Stokes initial value problem. I
Archive for Rational Mechanics and Analysis, 1964
Estimation of the Relaxation Factor for Small Mesh Size
Mathematical Tables and Other Aids to Computation, 1956