Fast and robust time integration method for stiff chemical kinetic ODEs

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

研究成果: Conference contribution

10 被引用数 (Scopus)

抄録

A simple yet robust and fast time integration method is proposed for efficiently solving stiff chemical kinetic ordinary differential equations. The proposed method is based on a general formula which preserves the conservation laws for any integration operators con- structed using the Lagrange multiplier method. A quasi-steady-state approxixmation is used as the integrator. The time step size is automatically controlled by using a Lagrange multiplier so that the error, which is caused by the Lagrange multiplier method, is small. The results of several ignition problems demonstrate the robustness and accuracy of the proposed method in comparison with other integration methods such as a implicit inte- gration method (VODE), a multi time-scalse method (MTS), and a modified CHEMEQ2. The proposed method, named ERENA, provides the fastest performance for the most of conditions used in this study.

本文言語English
ホスト出版物のタイトル50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference 2014
出版社American Institute of Aeronautics and Astronautics Inc.
ISBN(電子版)9781624103032
DOI
出版ステータスPublished - 2014 1 1
外部発表はい
イベント50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and exhibit 2014 - Cleveland, United States
継続期間: 2014 7 282014 7 30

出版物シリーズ

名前50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference 2014

Other

Other50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and exhibit 2014
国/地域United States
CityCleveland
Period14/7/2814/7/30

ASJC Scopus subject areas

  • エネルギー工学および電力技術
  • 航空宇宙工学
  • 制御およびシステム工学
  • 電子工学および電気工学
  • 機械工学

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