ERENA: A fast and robust Jacobian-free integration method for ordinary differential equations of chemical kinetics

Youhi Morii, Hiroshi Terashima, Mitsuo Koshi, Taro Shimizu, Eiji Shima

研究成果: Article査読

24 被引用数 (Scopus)

抄録

We herein propose a fast and robust Jacobian-free time integration method named as the extended robustness-enhanced numerical algorithm (ERENA) to treat the stiff ordinary differential equations (ODEs) of chemical kinetics. The formulation of ERENA is based on an exact solution of a quasi-steady-state approximation that is optimized to preserve the mass conservation law through use of a Lagrange multiplier method. ERENA exhibits higher accuracy and faster performance in homogeneous ignition simulations compared to existing popular explicit and implicit methods for stiff ODEs such as VODE, MTS, and CHEMEQ2. We investigate the effects of user-specified threshold values in ERENA, to provide trade-off information between the accuracy and the computational cost.

本文言語English
ページ(範囲)547-558
ページ数12
ジャーナルJournal of Computational Physics
322
DOI
出版ステータスPublished - 2016 10月 1
外部発表はい

ASJC Scopus subject areas

  • 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(全般)
  • 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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