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Additive Runge-Kutta Methods for Accurate H2-O2-Ar Detonation Simulation
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Jian LI1, Li HAO2, Jian-Guo NING1
Chinese Journal of High Pressure Physics | 2013, 27(2) : 230 - 238
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Chinese Journal of High Pressure Physics | 2013, 27(2): 230-238
Additive Runge-Kutta Methods for Accurate H2-O2-Ar Detonation Simulation
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Jian LI1, Li HAO2, Jian-Guo NING1
Affiliations
  • 1.State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
  • 2.Science School, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
Published: 2013-04-15
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We report here the additive Runge-Kutta methods for computing reactive Euler equations with a stiff source term, and in particular, their applications in gaseous detonation simulations. The source term in gaseous detonation is stiff due to the presence of wide range of time scales during thermal-chemical non-equilibrium reactive processes and some of these time scales are much smaller than that of hydrodynamic flow. The high order, L-stable, additive Runge-Kutta methods proposed in this paper resolved the stiff source term into the stiff part and non-stiff part, in which the stiff part was solved implicitly while the non-stiff part was handled explicitly. The proposed method was successfully applied to simulate the gaseous detonation in a stoichiometric H2-O2-Ar mixture based on a detailed elementary chemical reaction model comprised of 9 species and 19 elementary reactions. The results showed that the stiffly-accurate additive Runge-Kutta methods can well capture the discontinuity, and accurately describe the detonation complex wave configurations such as the triple wave structure and cellular pattern.

source term  /  additive Runge-Kutta methods  /  stiffness  /  gaseous detonation
李健, 郝莉, 宁建国. 基于附加Runge-Kutta方法的高精度气相爆轰数值模拟. 高压物理学报, 2013 , 27 (2) : 230 -238 .
Jian LI, Li HAO, Jian-Guo NING. Additive Runge-Kutta Methods for Accurate H2-O2-Ar Detonation Simulation[J]. Chinese Journal of High Pressure Physics, 2013 , 27 (2) : 230 -238 .
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Year 2013 volume 27 Issue 2
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Article Info
  • Receive Date：2013-03-20
  • Online Date：2026-11-05
  • Published：2013-04-15
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  • Received：2013-03-20
Funding
Affiliations
    1.State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
    2.Science School, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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