On the use of Green’s formula for the solution of the Navier-Stokes equations

Călin-Ioan Gheorghiu
(original), Finite element (FEM), ISI/JCR, Numerical Analysis, paper, PDEs (numerical)

Abstract

A general iterative procedure for solving Navier-Stokes system in stream function-vorticity variables  is considered. Using the fundamental solution for Laplace operator we find a boundary condition for vorticity. We define an application such that the vorticity is its fixed point. In order to construct this application we solve a Dirichlet problem for Laplace equation and a boundary value problem for vorticity equation in divergence form. A FEM and a classical BEM are used to accomplish this task. Some numerical experiments are carried out.

Authors

C.I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis

Keywords

Navier-Stokes system; stream function; vorticity; Laplace operator; fundamental solution; iterative solver; FEM; BEM;

References

See the expanding block below.

Cite this paper as

C.I. Gheorghiu, On the use of Green’s formula for the solution of the Navier-Stokes equations, Adv. Water Resources, 14 (1991) 113-117
doi: 10.1016/0309-1708(91)90002-6

PDF

?

About this paper

Journal

Advances in Water Resources

Publisher Name

Elsevier

DOI

10.1016/0309-1708(91)90002-6

Print ISSN

0309-1708

Online ISSN

1573-1634

MR

?

ZBL

?

Google Scholar

?

1991

Related Posts