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On some solutions of the Navier-Stokes equations using a parallel processor

✍ Scribed by J.S.B. Gajjar


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
574 KB
Volume
37
Category
Article
ISSN
0010-4655

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✦ Synopsis


Numerous schemes and techniques exist for the solution of the Navier-Stokes equations on a serial machine, but the number which can be implemented efficiently and which exploit the special architectures of vector and parallel computers is relatively few. The paper discusses and comments on the application of some parallel algorithms to obtain solutions of a model Navier-Stokes problem using the ICL Distributed Array Processor.


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In this paper, we establish a constant-type growth estimate in the Lipschitz norm of solutions to the 2D Navier-Stokes equations with fractional diffusion and a polynomial-type growth estimate of solutions to the 3D axisymmetric Navier-Stokes equations.