Developing a fast (fast-time) solver for large sparse
matrices for MARIN
Elwin van 't Wout
Site of the project:
MARIN
Haagsteeg 2
6708 PM Wageningen
start of the project:
November 2008
In February 2009 the Interim Thesis has appeared
and a
presentation has been given.
The Master project has been finished in August 2009
by the completion of the
Masters Thesis
and a final
presentation
has been given.
Finally the
research
is contained in the book
European Success Stories in Industrial Mathematics.
For working address etc. we refer to our
alumnipage.
Summary of the master project:
MARIN (Maritime Research Institute Netherlands) provides ship
manoeuvring simulators that offer a variety of maritime operations for
virtually every type of ship and of propulsion. The current
computation model for the wave field is based on cosine wave spectra,
that are converted to time signals through Fourier transformation.
This has the benefit of being deterministic in time and place and
therefore is easy to implement on our distributed simulation systems.
However, this model is not interactive, that is diffraction,
reflection, refraction and depth dependency are not taken into
account. From a visualization point of view, this model is limited
too. Better visualization models (in e.g. Waterworld, Titanic, Perfect
Storm) lack physical realism.
MARIN wishes to use the so-called Variational Boussinesq Model to
compute and visualize the wave field. This physically realistic model
does provide interaction with objects, diffraction, reflection etc. At
this moment, the model can be used for computing a wave field of 500m
by 500m (i.e., 10000 points) in real-time. To be useful in our
manoeuvring simulator, a much larger wave field of at least 5km by 5km
(1000000 points) must be computed in real time.
Part of this Variational Boussinesq Model is a CG sparse matrix
solver. The purpose of the work will be to speed up the current solver
or develop another (super)fast one for this kind of large matrices.
Possibilities include a parallell iterative CG method, a Box
Multi-grid method or implementation of a solver on the GPU by means of
CUDA.
CUDA.
Location
The work will be conducted at MARIN in Wageningen. MARIN has been an
independent and innovative service provider for the maritime sector
worldwide for more that 75 years now. The research is carried out by
model tests in large basins and by lots of computer simulations.
Above: the progression of a small wave coming from the left in a small
area, with a hollow (bottom left), a small harbour (bottom right) and
a small beach (top right).
Contact information:
Kees
Vuik
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