92-1-02.01-3688 NAS02-13796
A Pseudo-Spectral Mapping Technique for the
Accurate Solution of Viscous Flows in Complex
Geometries
Dynaflow, Inc.
7210 Pindell School Road
Fulton, MD 20759
R. Duraiswami (301-604-3688)
The fundamental understanding of many fluid flow phenomena
would be greatly enhanced if it were possible to simulate fluid
flow in complex geometries with high resolution. The spectral
method has been used successfully for this purpose in simpler
geometries. This project will combine the spectral method with an
orthogonal-mapping-grid-generation method, based on the theory of
quasi-conformal mappings, to simulate viscous fluid flow in
complex geometries. This approach offers order-of-magnitude
advantages in accuracy and speed over conventional methods for
solving such problems, reduces errors in boundary condition repre-
sentation, and is suited to the solution of nonlinear problems.
Phase I will develop a computer code based on this approach and
apply it to the problem of viscous flow past a cavity of complex
shape. Phase II will concentrate on the further extension and
application of the code to more complicated flows, including free-
surface flows, and on the development of a user-friendly
commercializable code, with pre- and post-processing features.
Potential Commercial Applications: The computer code will be
useful to private industry, research laboratories, and federal
agencies to simulate flows in many areas of aerodynamics,
including coating-flows, free-surface flows, flow in pipes of
complicated cross-section, and biological flows.
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