An alternating direction implicit scheme for parabolic equations with mixed derivative and convective terms

S. McKee, D. P. Wall, S. K. Wilson

研究成果: ジャーナルへの寄稿学術誌査読

42 被引用数 (Scopus)

抄録

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 behaviour of the temperature distribution within the channel for different Peclet numbers is discussed.

本文言語英語
ページ(範囲)64-76
ページ数13
ジャーナルJournal of Computational Physics
126
1
DOI
出版ステータス出版済み - 6月 1996
外部発表はい

!!!All Science Journal Classification (ASJC) codes

  • 数値解析
  • モデリングとシミュレーション
  • 物理学および天文学(その他)
  • 物理学および天文学一般
  • コンピュータ サイエンスの応用
  • 計算数学
  • 応用数学

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