UNCOUPLED SOLUTION OF THE 3-DIMENSIONAL VORTICITY-VELOCITY EQUATIONS

Authors
QUARTAPELLE L RUAS V ZHU J
Citation
L. Quartapelle et al., UNCOUPLED SOLUTION OF THE 3-DIMENSIONAL VORTICITY-VELOCITY EQUATIONS, Zeitschrift fur angewandte Mathematik und Physik, 49(3), 1998, pp. 384-400
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
49
Issue
3
Year of publication
1998
Pages
384 - 400
Database
ISI
SICI code
0044-2275(1998)49:3<384:USOT3V>2.0.ZU;2-M
Abstract
This work introduces some uncoupling techniques for solving the three- dimensional incompressible Navier-Stokes equations in the vorticity-ve locity representation. Without any loss of essential aspects, the anal ysis is conducted for the case of the underlying Stokes system. For so me of these uncoupled formulations, only scalar problems defined on th e boundary of the flow domain need to be solved, in order to determine the key field in the methodology, that is, a suitable harmonic compon ent of the vorticity.