Application of hugonions for efficient computation of shock and detonation waves

Jae Wan Lee, Won Suk Ohm, Jung Su Park

Research output: Contribution to journalConference articlepeer-review


Developed as a numerical device for fast computation of shock hydrodynamics, hugonions have been successfully used for analysis of strong shock waves in non-reacting media [Lee et al., J. Acoust. Soc. Am. 140, 3435 (2016)]. Hugonions are particle-like hydrodynamic discontinuities that travel, interact with one another, and annihilate. In this paper, we demonstrate that the concept of hugonions can be extended to detonation waves in reacting media, in which the chemical reaction of positive thermicity leads to different equations of state ahead and behind the detonation shock. The Chapman-Jouguet (CJ) model of detonation is recast in such a way that the D-discussion remains the same as in the classical CJ theory while the piston problem is solved more efficiently using hugonions. Tested for both non-reacting (the Sod shock tube problem) and reacting (1-D detonation waves) media, the hugonion-based approach is shown to be superior in speed to the existing computational methods such as Godunov’s scheme.

Original languageEnglish
Article number045009
JournalProceedings of Meetings on Acoustics
Issue number1
Publication statusPublished - 2018
Event21st International Symposium on Nonlinear Acoustics, ISNA 2018 - Santa Fe, United States
Duration: 2018 Jul 92018 Jul 13

Bibliographical note

Funding Information:
The authors acknowledge the financial support from the DAPA/ADD of Korea and Converged Energy Materials Research Center (CEMRC) in Yonsei University.

Publisher Copyright:
© 2018 Acoustical Society of America.

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics


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