We use a one-dimensional model problem of advection-diffusion to investigate the treatment recently advocated by Papanastasiou and colleagues to deal with boundary conditions at artificial outflow boundaries. Using finite elements of degree p, we show that their treatment is equivalent to imposing
A new outflow boundary condition
β Scribed by T. C. Papanastasiou; N. Malamataris; K. Ellwood
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 1014 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0271-2091
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π SIMILAR VOLUMES
In recent work on outflow boundary conditions for Navier-Stokes equations by Papanastasiou et al. (Int. j. numer. methods fluids, 14, 587-608 (1992)) a choice has been proposed which can formally be described as imposing no boundary condition at all. This of course leads to an underdetermined proble
## Abstract A simple explanation is given of the occurrence of wiggles in the flow field near outflow boundaries. If the shallowβwater equations are solved numerically spurious solutions with an oscillatory character turn out to exist, which can be generated by certain additional numerical boundary