Revisiting well-posed boundary conditions for the shallow water equations
2014 (English)Conference paper (Other academic)
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.
Shallow water equations, Well-posedness, Boundary conditions, Energy method, Subcritical, Supercritical
IdentifiersURN: urn:nbn:se:liu:diva-105915OAI: oai:DiVA.org:liu-105915DiVA: diva2:712154
The 16th Geophysics Conference of Iran