A Pseudo-spectral Scheme for the Incompressible Navier–Stokes Equations Using Unstructured Nodal Elements
✍ Scribed by T. Warburton; L.F. Pavarino; J.S. Hesthaven
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 543 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
A pseudo-spectral scheme for solving the incompressible Navier-Stokes equations using unstructured nodal triangles is proposed. Efficient algorithms are developed with numerical evidence that indicates optimal rates of convergence can be achieved. Navier-Stokes simulations of Kovasznay, shear layer roll up, and flow past a cylinder are included to show comparisons between the different nodal sets considered and an alternative modal approach.
📜 SIMILAR VOLUMES
The proposed segregated-implicit (SI) scheme, which is based on the artificial compressibility method, is discretized by the finite difference numerical scheme and verified by simulating a shear-driven cavity flow. The current results demonstrate that the SI scheme is a simple algorithm capable of f
D ϭ 3.1. The drag history, shown in (c), agrees well with the results of [24] which were based upon an adaptive Efficient solution of the Navier-Stokes equations in complex domains is dependent upon the availability of fast solvers for sparse vortex method using up to 10 6 elements. The present calc