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Multidomain implicit numerical scheme

โœ Scribed by A. Povitsky; M. Wolfshtein

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
270 KB
Volume
25
Category
Article
ISSN
0271-2091

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โœฆ Synopsis

A multidomain method for the solution of elliptic CFD problems with an ADI scheme is described. Two methods of treatment of internal boundary conditions for ADI functions are discussed, namely an explicit and a semiimplicit method. Stability conditions for the proposed methods are derived theoretically. The semi-implicit scheme is more stable than the explicit scheme, leading to improved numerical efยฎciency for multidomain computations. Numerical computations for a linear convectionยฑdiffusion equation, for buoyancy-driven recirculating ยฏow in a square cavity and for turbulent ยฏow in a square duct conยฎrmed the theoretical results. Computer runs of the multidomain code in a distributed memory multiprocessor system were successful and efยฎcient and produced reliable results.

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