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METHOD–OF–LINES SOLUTION OF TIME–DEPENDENT TWO–DIMENSIONAL NAVIER–STOKES EQUATIONS

✍ Scribed by OLCAY OYMAK; NEVÍN SELÇUK

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
619 KB
Volume
23
Category
Article
ISSN
0271-2091

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✦ Synopsis

A novel approach to the development of a code for the solution of the time-dependent two-dimensional Navier-Stokes equations is described. The code involves coupling between the method of lines (MOL) for the solution of partial differential equations and a parabolic algorithm which removes the necessity of iterative solution on pressure and solution of a Poisson-type equation for the pressure. The code is applied to a test problem involving the solution of transient laminar flow in a short pipe for an incompressible Newtonian fluid. Comparisons show that the MOL solutions are in good agreement with the previously reported values. The proposed method described in this paper demonstrates the ease with which the NavierStokes equations can be solved in an accurate manner using sophisticated numerical algorithms for the solution of ordinary differential equations (ODEs).

📜 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