Change search
ReferencesLink to record
Permanent link

Direct link
Revisiting well-posed boundary conditions for the shallow water equations
Institute of Geophysics, University of Tehran, Tehran, Iran.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2014 (English)Conference paper (Other academic)
Abstract [en]

A general form of well-posed open boundary conditions for the two-dimensional shallow water equations is derived. To this end, the energy method, in which one bounds the energy of the solution by choosing a minimal number of suitable boundary conditions, is used. Both the number and the type of boundary conditions are presented for subcritical and supercritical flows on a general domain. The results are compared with a number of often used open boundary conditions and it is shown that they are a subset of the derived general form.

Place, publisher, year, edition, pages
2014. 1-4 p.
Keyword [en]
Shallow water equations, Well-posedness, Boundary conditions, Energy method, Subcritical, Supercritical
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-105915OAI: diva2:712154
The 16th Geophysics Conference of Iran
Available from: 2014-04-14 Created: 2014-04-14 Last updated: 2014-04-15

Open Access in DiVA

Revisiting well-posed boundary conditions for the shallow water equations(131 kB)94 downloads
File information
File name FULLTEXT01.pdfFile size 131 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Nordström, Jan
By organisation
Computational MathematicsThe Institute of Technology
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 94 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 112 hits
ReferencesLink to record
Permanent link

Direct link