高压物理学报2013，Vol.27Issue(2)：230-238,9.
基于附加Runge-Kutta方法的高精度气相爆轰数值模拟
Additive Runge-Kutta Methods for Accurate H2-O2-Ar Detonation Simulation
摘要
Abstract
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.关键词
源项/附加Runge-Kutta方法/刚性/气相爆轰Key words
source term/ additive Runge-Kutta methods / stiffness/ gaseous detonation分类
数理科学引用本文复制引用
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[J].高压物理学报,2013,27(2):230-238,9.基金项目
国家重点基础研究计划(2010CB832706) （2010CB832706）
国家自然科学基金(11032002,11072025) （11032002,11072025）
