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On missing boundary conditions with unsteady incompressible Navier–Stokes flows

✍ Scribed by F. K. Hebeker; P. Wilde

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
544 KB
Volume
15
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We investigate an unsteady viscous flow problem where ‘good’ boundary conditions are available on part of the boundary only. This problem appears when the flow phenomena one is interested in are concentrated on part of the flow region and, for reasons of computational economy, are numerically computed in this subregion only. Assuming that outside of the subregion the flow is not subjected to any acceleration forces, we develop an (abstract) combined finite‐element/boundary element scheme to compute the flow approximately. This scheme leads to a proof of the existence of a weak solution of the corresponding Navier–Stokes problem as well.

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