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

13 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)547-558
ページ数12
ジャーナルJournal of Computational Physics
322
DOI
出版物ステータスPublished - 2016 10 1
外部発表Yes

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

フィンガープリント ERENA: A fast and robust Jacobian-free integration method for ordinary differential equations of chemical kinetics' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用