The steady incompressible Navier-Stokes equations in three dimensions are solved for neutral and stably stratified flow past three-dimensional obstacles of increasing spanwise width. The continuous equations are approximated using a finite volume discretisation on staggered grids with a flux-limited
Non-perturbative solution of three-dimensional Navier–Stokes equations for the flow near an infinite rotating disk
✍ Scribed by Ahmet Yıldırım; Sefa Anıl Sezer
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 271 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1246
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✦ Synopsis
In this paper, we present Homotopy perturbation method (HPM) and Padé technique, for finding non-perturbative solution of three-dimensional viscous flow near an infinite rotating disk. We compared our solution with the numerical solution (fourth-order Runge-Kutta). The results show that the HPM-Padé technique is an appropriate method in solving the systems of nonlinear equations. The mathematical technique employed in this paper is significant in studying some other problems of engineering.
📜 SIMILAR VOLUMES
A comparison of multigrid methods for solving the incompressible Navier -Stokes equations in three dimensions is presented. The continuous equations are discretised on staggered grids using a second-order monotonic scheme for the convective terms and implemented in defect correction form. The conver