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The Reynolds number and large time behaviour for weak solutions of the Navier-Stokes equations

✍ Scribed by Hans-Christoph Grunau

Publisher
Springer
Year
1993
Tongue
English
Weight
267 KB
Volume
44
Category
Article
ISSN
0044-2275

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πŸ“œ SIMILAR VOLUMES

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## Abstract We consider a suitable weak solution to the three‐dimensional Navier‐Stokes equations in the space‐time cylinder Ξ© Γ— ]0, __T__[. Let Ξ£ be the set of singular points for this solution and Ξ£ (__t__) ≑ {(__x, t__) ∈ Ξ£}. For a given open subset Ο‰ βŠ† Ξ© and for a given moment of time __t__ ∈]0

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In this paper an explicit Lagrangian approach to advective and diffusive term treatment has been derived to improve the stability and to reduce the artificial diffusion of a finite difference scheme for convection-diffusion equations. This concept is then applied to discretize the convective and vis