## Abstract Use of upwind finite element methods was so far confined to forced convection problems. The present work is devoted to the application of false diffusion techniques to phenomena involving natural convection. A range of Rayleigh numbers in which the discretization by the conventional Gal
On the solution of diffusion—convection equations by the space—time finite element method
✍ Scribed by J. R. Yu; T. R. Hsu
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 707 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
A functional has been developed for the finite element solution of diffusion-convection problems. This functional is suitable for the application of the variational principle on discretization schemes in the spacetime domain. This algorithm has shown to be computationally efficient over the conventional finite element discretization in the space domain alone. Numerical examples on one-dimensional energy transport have been included to illustrate the merit of this technique.
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