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This IMA Volume in Mathematics and its Applications COMPUTATIONAL
FLUID DYNAMICS AND REACTING GAS FLOWS is in part the proceedings of
a workshop which was an integral part of the 1986-87 IMA program on
SCIENTIFIC COMPUTATION. We are grateful to the Scientific
Committee: Bjorn Engquist (Chairman), Roland Glowinski, Mitchell
Luskin and Andrew Majda for planning and implementing an exciting
and stimulating year-long program. We especially thank the Workshop
Organizers, Bjorn Engquist, Mitchell Luskin and Andrew Majda, for
organizing a workshop which brought together many of the leading
researchers in the area of computational fluid dynamics. George R.
Sell Hans Weinberger PREFACE Computational fluid dynamics has
always been of central importance in scientific computing. It is
also a field which clearly displays the essential theme of
interaction between mathematics, physics, and computer science.
Therefore, it was natural for the first workshop of the 1986- 87
program on scientific computing at the Institute for Mathematics
and Its Applications to concentrate on computational fluid
dynamics. In the workshop, more traditional fields were mixed with
fields of emerging importance such as reacting gas flows and
non-Newtonian flows. The workshop was marked by a high level of
interaction and discussion among researchers representing varied
"schools of thought" and countries.
The general area of geophysical fluid mechanics is truly
interdisciplinary. Now ideas from statistical physics are being
applied in novel ways to inhomogeneous complex systems such as
atmospheres and oceans. In this book, the basic ideas of
geophysics, probability theory, information theory, nonlinear
dynamics and equilibrium statistical mechanics are introduced and
applied to large time-selective decay, the effect of large scale
forcing, nonlinear stability, fluid flow on a sphere and Jupiter's
Great Red Spot. The book is the first to adopt this approach and it
contains many recent ideas and results. Its audience ranges from
graduate students and researchers in both applied mathematics and
the geophysical sciences. It illustrates the richness of the
interplay of mathematical analysis, qualitative models and
numerical simulations which combine in the emerging area of
computational science.
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