A robust multi-time scale method for stiff combustion chemistry

Hiroshi Terashima, Youhi Morii, Mitsuo Koshi

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


A robust explicit time integration method for stiff chemical reaction equations is proposed and applied to zero-dimensional ignition and one-dimensional combustion flow problems. The proposed method based on a multi-time scale method significantly improves the robustness of the original method by introducing two new strategies: automatic adjustment of time step size for each characteristic group using a quasi-steady-state assumption and automatic reset of base time step size using two appropriate criteria. The results for several zero-dimensional ignition problems demonstrate the robustness and accuracy of the proposed method compared to existing explicit and implicit integration methods. The present study also provides a computational cost estimation of various terms in the governing equations using a one-dimensional combustion problem (knocking simulation), where the Navier– Stokes equations are coupled with the chemical reaction equations. As well as the zero-dimensional problems, the robustness and capability of the proposed method are demonstrated. While the proposed method alleviates the occupancy of chemical reaction part in the total computational cost compared to an implicit time integration method, it is found that the transport properties calculations relatively increase with considerable amounts, suggesting efficient modeling of transport properties calculations for multi-dimensional combustion problems.

Original languageEnglish
Pages (from-to)177-196
Number of pages20
JournalInternational Journal of Energetic Materials and Chemical Propulsion
Issue number3
Publication statusPublished - 2015


  • Computational fluid dynamics
  • Detailed chemical kinetic mechanisms
  • Explicit time integration
  • Stiff combustion chemistry


Dive into the research topics of 'A robust multi-time scale method for stiff combustion chemistry'. Together they form a unique fingerprint.

Cite this