Volume 14, Issue 3
Boundary Conditions for Limited Area Models Based on the Shallow Water Equations

Arthur Bousquet, Madalina Petcu, Ming-Cheng Shiue, Roger Temam & Joseph Tribbia

Commun. Comput. Phys., 14 (2013), pp. 664-702.

Published online: 2013-09

Preview Full PDF 95 505
Export citation
  • Abstract

Anew set of boundary conditions has beenderivedby rigorous methods for the shallow water equations in a limited domain. The aim of this article is to present these boundary conditions and to report on numerical simulations which have been performed using these boundary conditions. The new boundary conditions which are mildly dissipative let the waves move freely inside and outside the domain. The problems considered include a one-dimensional shallow water system with two layers of fluids and a two-dimensional inviscid shallow water system in a rectangle.


  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

@Article{CiCP-14-664, author = {Arthur Bousquet, Madalina Petcu, Ming-Cheng Shiue, Roger Temam and Joseph Tribbia}, title = {Boundary Conditions for Limited Area Models Based on the Shallow Water Equations}, journal = {Communications in Computational Physics}, year = {2013}, volume = {14}, number = {3}, pages = {664--702}, abstract = {

Anew set of boundary conditions has beenderivedby rigorous methods for the shallow water equations in a limited domain. The aim of this article is to present these boundary conditions and to report on numerical simulations which have been performed using these boundary conditions. The new boundary conditions which are mildly dissipative let the waves move freely inside and outside the domain. The problems considered include a one-dimensional shallow water system with two layers of fluids and a two-dimensional inviscid shallow water system in a rectangle.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.070312.061112a}, url = {http://global-sci.org/intro/article_detail/cicp/7177.html} }
Copy to clipboard
The citation has been copied to your clipboard