Yekaterina Epshteyn
Department of Mathematics
University of Utah
Salt Lake City, Utah, USA
In this talk we will introduce and discuss simple second-order
central-upwind scheme for the Saint-Venant system of shallow water
equations on triangular grids. This system is widely used in many
scientific applications related to modeling of water
flows in rivers, lakes and coastal areas.
The development of robust and accurate numerical methods for the
simulation of shallow water equations is important and challenging
problem. In our talk we will
show that the designed scheme both preserves "lake at rest" steady states
and guarantees the positivity of the computed fluid depth. Moreover, it
can be applied to models with discontinuous bottom topography and
irregular channel widths. We will demonstrate these features of the
proposed scheme, as well as its high resolution
and robustness in a number of numerical examples.
Joint work with Jason Albright, Steve Bryson, Alexander Kurganov and Guergana Petrova