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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

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