✦ LIBER ✦
Approximation of Navier–Stokes incompressible flow using a spectral element method with a local discretization in spectral space
✍ Scribed by Kelly Black
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 211 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0749-159X
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✦ Synopsis
A spectral element technique is examined, which builds upon a local discretization within the spectral space. To approximate a given system of equations the domain is subdivided into nonoverlapping quadrilateral elements, and within each element a discretization is found in the spectral space. The difference is that the test functions are divided into the higher-order polynomials, which have zero boundaries and lower-order polynomials, which are nonzero on one boundary. The method is examined for Navier-Stokes incompressible flow for fluid flow within a driven cavity and for flow over a backstep.