Multiscale modeling of tsunami propagation and inundation

Accurate prediction of tsunami run-up and
inundation on shores far from the tsunami
source is a challenging multiscale modeling
problem.  Over the open ocean a wave may be
only a meter high with a wavelength of 100km
or more, propagating over bathymetry that
varies extensively over much shorter length
scales.  Near the shore it may be necessary
to model the local bathymetry on scales of
a few meters in order to obtain accurate
predictions. I will discuss some current
research using high resolution finite volume
methods and adaptive mesh refinement to
model both propagation and inundation.