超声速燃烧流的双时间步计算方法研究
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国家自然科学基金资助项目(50906098)


Investigation of Dual Time-step Approach for Supersonic Combustion Flow
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    摘要:

    发展了模拟非定常超声速燃烧流场的隐式双时间步方法。采用时间分裂法对流动和反应进行解耦处理,流动方程组由双时间步方法求解,内迭代过程采用LU-SGS方法;反应源项方程组通过隐式二阶梯形公式求解。分析了时间分裂格式和时间步长对计算结果的影响,结果显示:一阶时间精度的分裂格式会略微高估化学效率,应该采用二阶时间精度的分裂格式;时间步长的选取对计算结果影响显著,为了保证解耦算法的计算精度,时间步长应足够小以能够较准确捕捉到主导各种输运过程的大尺度涡团的非定常行为。

    Abstract:

    A dual time-step approach was developed for simulation of unsteady supersonic combustion flow. The flow and reaction were separately calculated with a time-splitting method. The flow equations were solved by the dual time-step approach with the inner iteration proceeded by a LU-SGS method. The source equations were solved by 2ndorder trapezoidal formulas. The influences of the time-splitting scheme and the time step were studied. The results show that the 1st order time-splitting can slightly overestimate the chemical efficiency and a 2ndorder time-splitting should be implemented. The time step has a significant effect on the results. In order to ensure the computational precision of the uncoupled method, the time step should be kept small enough so that the unsteady behaviors of the large scale vortices, which dominate the transport processes in the flow, can be captured accurately.

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汪洪波,孙明波,吴海燕,等.超声速燃烧流的双时间步计算方法研究[J].国防科技大学学报,2010,32(3):1-6.
WANG Hongbo, SUN Mingbo, WU Haiyan, et al. Investigation of Dual Time-step Approach for Supersonic Combustion Flow[J]. Journal of National University of Defense Technology,2010,32(3):1-6.

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  • 收稿日期:2009-09-23
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  • 在线发布日期: 2012-09-06
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