Since 1977 my main research interest has been in the design and application
of algorithms for computational fluid dynamics. In 1977
Bob Gingold and I worked out the first version of what we
called SPH or Smoothed Particle
Hydrodynamics and applied it to problems in astrophysics . It was immediately clear that
very complex problems could be simulated with SPH. Over
the next decade we had fun applying SPH to problems
involving the formation and dynamics of stars. Many other
astrophysicists discovered that SPH was a very useful tool and
used it to study a wide range of problems in
astrophysics. My current work in astrophysics also involves
various aspects of special and general relativity
.
In the early 1990s I got involved with an Archaeological
problem concerning the demise of the Minoan civilisation. At that time a theory
due to the Greek archaeologist Marinatos was still in vogue. His theory was based
on the idea that the bronze age eruption of the island volcano Thera (Santorini)
produced tsunamis which hit the north coast of Crete and wiped out
coastal cities. I talked with archaeologists about this theory and this resulted in my
work on the initiation of tsunamis by high speed outbursts from volcanoes. Most
people are familiar with volcanic plumes of erupting volcanoes, but a much deadlier
process is the pyroclastic flow which can burst without warning from a volcano as
a flow of extremely hot gas, ash and rocks. When a flow like this hits a body of water
it may produce giant waves called Tsunamis.
I realised that SPH could be used to investigate
these problems. To get an idea of what to expect I began a series of laboratory experiments
with Andrew Kos and Ray Cas. To simulate the experiments we needed to simulate the
motion of water and this was done by a straightforward extension of SPH to the flow of
incompressible fluids .
and to multiphase flows.
The work on tsunamis has led to many research projects in
geological fluid dynamics . A natural
extension of the tsunami work was to extend it to block avalanches and debris flows.
With my colleagues I am extending the
study of volcanic eruptions by considering the collapse of the magma chamber beneath
a volcano. This requires techniques to simulate fracture
in rock. In our work we followed Willy Benz
and Asphaug who showed that SPH provided a wonderful way to handle rapid fracture. Other
problems include slow fracture, and the application of SPH to the solidification of binary
alloys.