NON REFLECTING BOUNDARY-CONDITIONS FOR A 2-DIMENSIONAL LINEARIZED BAROTROPIC SHALLOW-WATER MODEL

Citation
G. Darblade et al., NON REFLECTING BOUNDARY-CONDITIONS FOR A 2-DIMENSIONAL LINEARIZED BAROTROPIC SHALLOW-WATER MODEL, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(4), 1997, pp. 485-490
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
324
Issue
4
Year of publication
1997
Pages
485 - 490
Database
ISI
SICI code
0764-4442(1997)324:4<485:NRBFA2>2.0.ZU;2-#
Abstract
We propose a new method to deal with the open boundary conditions prob lem in a barotropic linearized Shallow-Water model. It uses both the s plitting technique and the newtonian relaxation method. We present the oretical solutions and illustrate with numerical examples the efficien cy of the proposed method: outgoing waves are evacuated without distur bing the flow in the physical domain.