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Spectral solutions of the Navier-Stokes equations in arbitrary two-dimensional domains

✍ Scribed by Z.U.A. Warsi; G.P. Koomullil

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
580 KB
Volume
36
Category
Article
ISSN
0378-4754

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✦ Synopsis

This paper is intended to demonstrate the use of numerical grids generated by spectral techniques in the solution of the Navier-Stokes equations also obtained by using spectral techniques. This effort thus extends the applicability of spectral techniques to arbitrary domains. In this paper, only 2D numerical transformation and Navier-Stokes solutions on 2D domains have been considered.

Extension to 3D domains seems to be formal but certainly more complex computationally.

📜 SIMILAR VOLUMES

On the domain dependence of solutions to
On the domain dependence of solutions to the Navier–Stokes equations of a two-dimensional compressible flow
✍ Fei Jiang; Zhong Tan 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 145 KB 👁 2 views

## Abstract We consider the Navier–Stokes equations for compressible, barotropic flow in two space dimensions, with pressure satisfying __p__(ϱ)=__a__ϱlog^__d__^(ϱ) for large ϱ, here __d__>1 and __a__>0. After introducing useful tools from the theory of Orlicz spaces, we prove a compactness result