Computer simulation is an important tool in many areas of science.
Increasingly complex mathematical models are being solved in large
computer simulations, complementing and sometimes replacing
traditional experimental techniques as the main tool of scien tific
investigation. In any such computer simulation, it is pivotal that the
quality of the computed solution may be determined. However, the
assessment of the quality of a computed solution is challenging, both
mathematically and computationally. As a co nsequence, the quality of
the solution must often be assessed manually by the scientist or
engineer running the simulation. This is unreliable as well as
time-consuming, and it effectively prevents computer simulation from
realizing its full potential as a standard tool in science and industry.
The aim of the proposed research is to develop a general methodology
for automated computation and error control, with special emphasis on
fluid-structure interaction problems in biomedicine. The aim is also to
re alize the methodology in free software components that are accessible
to practitioners, including medical doctors. Currently, no such tools exist
and the relevance and potential impact of the proposed research is
therefore very large.
The proposed resear ch has a broad spectrum and is expected to produce
concrete results that include a general mathematical methodology for
automated error control, software components implementing the
methodology and increased knowledge for a set of challenging key
applicat ions in biomedicine, including the simulation of turbulent
flow through the aortic valve, pulmonary support by forced ventilation
and diagnosis of stenosis by noninvasive acoustic measurement.
The research will be carried out in collaboration with resear ch groups
in Norway, Sweden, the Netherlands and the USA.