An alternating direction implicit scheme for parabolic equations with mixed derivative and convective terms
Journal Article
·
· Journal of Computational Physics
- Univ. of Strathclyde, Glasgow (United Kingdom)
An alternating direction implicit (ADI) scheme is introduced which is capable of solving a general parabolic equation in two space dimensions with mixed derivative and convective terms. In the case of constant coefficients the scheme is shown to be unconditionally stable. The study was motivated by the investigation of flow in a dye laser cell (a device used for the amplification of a laser beam), a simple model for which involves laminar flow in a two-dimensional symmetric channel subject to impulsive heating. Numerical results are presented for this problem, and the qualitative behavior of the temperature distribution within the channel for different Peclet numbers is discussed. 15 refs., 5 figs., 1 tab.
- OSTI ID:
- 440756
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 126; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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