An Alternating Direction Implicit Scheme for Parabolic Equations with Mixed Derivative and Convective Terms
✍ Scribed by S. McKee; D.P. Wall; S.K. Wilson
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 474 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
✦ Synopsis
THIS PAPER IS DEDICATED TO PROFESSOR A. R. MITCHELL ON THE EVENT OF HIS 75TH BIRTHDAY
2. PHYSICAL BACKGROUND AND MOTIVATION
An alternating direction implicit (ADI) scheme is introduced which
2.1. Problem Formulation
is capable of solving a general parabolic equation in two space dimensions with mixed derivative and convective terms. In the case A dye laser cell is a device which amplifies a highly of constant coefficients the scheme is shown to be unconditionally tuned laser beam via an energy transfer from a second, 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 untuned, but more powerful laser beam. Fluorescent dye simple model for which involves laminar flow in a two-dimensional is passed at high speed through a narrow convergent/diversymmetric channel subject to impulsive heating. Numerical results gent channel and impulsively heated at the neck. For furare presented for this problem, and the qualitative behaviour of ther details see Duarte and Hillman [6] or Scha ¨fer [13].
the temperature distribution within the channel for different Peclet A first step in modelling the heat and mass transfer of numbers is discussed.