The GAMM Committee for Numerical Methods in Fluid Mechanics organizes
workshops which should bring together experts of a narrow field of
computational fluid dynamics (CFD) to exchange ideas and experiences in
order to speed-up the development in this field. In this sense it was
suggested that a workshop should treat the solution of CFD problems on
vector computers. Thus we organized a workshop with the title "The
efficient use of vector computers with emphasis on computational fluid
dynamics". The workshop took place at the Computing Centre of the
University of Karlsruhe, March 13-15,1985. The participation had been
restricted to 22 people of 7 countries. 18 papers have been presented.
In the announcement of the workshop we wrote: "Fluid mechanics has
actively stimulated the development of superfast vector computers like
the CRAY's or CYBER 205. Now these computers on their turn stimulate the
development of new algorithms which result in a high degree of
vectorization (sca1ar/vectorized execution-time). But with 3-D problems
we quickly reach the limit of present vector computers. If we want e.g.
to solve a system of 6 partial differential equations (e.g. for u, v, w,
p, k, or for the vectors u, curl u) on a 50x50x50 grid we have 750.000
unknowns and for a 4th order difference method we have circa 60 million
nonzero coefficients in the highly sparse matrix. This characterizes the
type of problems which we want to discuss in the workshop".