Spectral methods for 2D Riemann problems
โ Scribed by Sidi M. Ould Kaber; Carole Rosier
- Book ID
- 104267657
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 156 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
We consider Riemann problems for a linear hyperbolic equation. At time t > 0, the solution is known outside the disk D(0, t). Inside this disk, we make coordinate transformations and obtain an elliptic problem which is solved by a spectral tau method. We compare the result with the spectral viscosity method applied to the original hyperbolic equation.
๐ SIMILAR VOLUMES
The approximation of the Stokes problem in axisymmetric geometries using the spectral element method is considered. The presence of the volume element r dr dz in the weak formulation of the problem is shown to be a potential source of difficulty. The discrete equations associated with nodes on the a