An efficient and accurate numerical scheme is presented for the axisymmetric Navier-Stokes equations in primitive variables in a cylinder. The scheme is based on a new spectral-Galerkin approximation for the space variables and a secondorder projection scheme for the time variable. The new spectral-
An Efficient Spectral-Projection Method for the Navier–Stokes Equations in Cylindrical Geometries: II. Three-Dimensional Cases
✍ Scribed by J.M. Lopez; F. Marques; Jie Shen
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 401 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
An efficient and accurate numerical scheme is presented for the three-dimensional Navier-Stokes equations in primitive variables in a cylinder. The scheme is based on a spectral-Galerkin approximation for the space variables and a second-order projection scheme for time. The new spectral-projection scheme is implemented to simulate unsteady incompressible flows in a cylinder.
📜 SIMILAR VOLUMES
The article presents a fast pseudo-spectral Navier-Stokes solver for cylindrical geometries, which is shown to possess exponential rate of decay of the error. The formulation overcomes the issues related to the axis singularity, by employing in the radial direction a special set of collocation point
to overcome the time-stepping (or the pole) problem, involves coarsening the grid near the singular points, thus A method for temporal integration of the Navier-Stokes equations written in cylindrical coordinates is described. The objective is to allowing for the use of explicit time-integration. Fo