Periodic Galerkin finite element method of unsteady periodic flow of viscous fluid
โ Scribed by Mutsuto Kawahara
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 574 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0029-5981
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โฆ Synopsis
Abstract
Finite element analysis of unsteady flow of twoโdimensional incompressible viscous fluid is presented employing stream function as a field variable. The Galerkin approach is applied in the procedure of discretizing in time. Using trigonometric series as the interpolation function, the nonโlinear algebraic simultaneous equation system is derived. Several numerical examples show the adaptability of the formulation.
๐ SIMILAR VOLUMES
We refer to as mixed element/volume (MEV) methods the application of ยฎnite element for diffusion terms and ยฎnite volume for advection terms in a ยฏow model. The compatibility of these methods can be checked for some low-order approximations; the resulting schemes may enjoy the relative mesh-regularit