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Books > Science & Mathematics > Mathematics > Applied mathematics
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Analysis of Laminar Flow Over a Backward Facing Step (Hardcover, 1984 ed.)
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Analysis of Laminar Flow Over a Backward Facing Step (Hardcover, 1984 ed.)
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INTRODUCTION 1. - The problem for analysis and requirements 2. -
Results 3. - Comparison of computer times 4. - Conclusion.
INTRODUCTION In 1981 it appeared to the organizers that a workshop
to compare codes to solve the Navier -Stokes equations would be of
great interest to the community of numerical analysts and users
working on CFD (Computer fluid Dynamics}. A test problem would have
to be selected with the following features: 1. it should be suited
for all known methods (finite differences, finite elements,
spectral ... ) thus the geometry should be simple. 2. it should be
simple so that scientists with small computer facilities can test
it and the gradients in the flow should be reasonable in size so
that algo rithms don't blow up with a limited number of points and
iterations. In practice one would have to select a stationary flow
at moderate Reynolds number. 3. it should be a real flow to allow
experimental asurements. The simplest problem used previously was
the cavity flow problem; however the singularity of the data at the
boundary (point A and B on figure 1} makes it difficult for the
Finite Element and Spectral methods; furthermore it is not such an
easy experiment to set up. A B .... u = 2 Flow around a cylinder,
although most interesting of all, is too difficult because it is
unbounded (many grid points) and very quickly unsteady {Re 30)."
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