Boundary conditions

  • C. B. Vreugdenhil
Part of the Water Science and Technology Library book series (WSTL, volume 13)


A set of differential equations does not mean anything unless appropriate boundary conditions are specified. The number of boundary (or initial) conditions is closely related to the behaviour of characteristics if the system is hyperbolic. The SWE are hyperbolic if you do not take lateral friction into account. You can find the relevant theory in Courant & Hilbert (1962). It says first of all that the region of interest should be enclosed by a boundary with no holes in it. Such boundaries can obviously be coastlines, but if you take a region covering part of the sea, you also have an “open” boundary which is artificial in the sense that it is not a physical boundary: it is just a line drawn on the map.


Reflection Coefficient Froude Number Boundary Data Normal Velocity Potential Vorticity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • C. B. Vreugdenhil
    • 1
  1. 1.Institute for Marine and Atmospheric Research Utrecht (IMAU)Utrecht UniversityUtrechtThe Netherlands

Personalised recommendations