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Computing the velocity of a rotating flow

✍ Scribed by L.K. Lundin

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
189 KB
Volume
24
Category
Article
ISSN
0167-8191

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✦ Synopsis

To compute the time-dependent ¯ow of a rotating incompressible ¯uid we consider the velocity±vorticity formulation of the Navier±Stokes equations in cylindrical coordinates. In the numerical method employed the velocity ®eld at each time-step is found as the least squares solution of an overdetermined system of linear equations, ex . We consider how to compute x using the preconditioned conjugate gradient algorithm for least squares (PCGLS) on a distributed parallel computer. The various aspects of using a parallel computer are discussed, and results for a wide range of parallel computers are presented. The parallel speedup depends on the architecture but is typically about 80% of the number of processors used.

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