2014Zhongguo kexue. Wulixue Lixue TianwenxueOpen access

Influence of operator-splitting algorithm on numerical simulation of quasi-detonation

Zonglin Jiang, YunFeng LIU

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Abstract

In this paper, the characters of operator-splitting algorithm in numerical simulations of combustion are analyzed. In numerical simulations, the combustion is handled using an operator-splitting algorithm so that during each time step the motionless fluid is first allowed to react at constant volume and then subsequently the nonreactive fluid is allowed to convert. This algorithm would violate the conservation of momentum of the combustion system. Therefore, a correction model is introduced to correct the numerical results of operator-splitting algorithm. Quasi-detonation is a special combustion phenomenon which is frequently observed in experiments. But its mechanism cannot be simulated by the conventional operator-splitting algorithm. In this research, quasi-detonation is simulated by using this correction model, which is in good agreement with experimental results. The thermodynamic characters of quasi-detonation show that it is thermally choked. These results show that the problem posed and the correction model introduced are correct.

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In this paper, the characters of operator-splitting algorithm in numerical simulations of combustion are analyzed. In numerical simulations, the combustion is handled using an operator-splitting algorithm so that during each time step the motionless fluid is first allowed to react at constant volume and then subsequently the nonreactive fluid is allowed to convert. This algorithm would violate the conservation of momentum of the combustion system. Therefore, a correction model is introduced to correct the numerical results of operator-splitting algorithm. Quasi-detonation is a special combustion phenomenon which is frequently observed in experiments. But its mechanism cannot be simulated by the conventional operator-splitting algorithm. In this research, quasi-detonation is simulated by using this correction model, which is in good agreement with experimental results. The thermodynamic characters of quasi-detonation show that it is thermally choked. These results show that the problem posed and the correction model introduced are correct.

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Available abstract

In this paper, the characters of operator-splitting algorithm in numerical simulations of combustion are analyzed. In numerical simulations, the combustion is handled using an operator-splitting algorithm so that during each time step the motionless fluid is first allowed to react at constant volume and then subsequently the nonreactive fluid is allowed to convert. This algorithm would violate the conservation of momentum of the combustion system. Therefore, a correction model is introduced to correct the numerical results of operator-splitting algorithm. Quasi-detonation is a special combustion phenomenon which is frequently observed in experiments. But its mechanism cannot be simulated by the conventional operator-splitting algorithm. In this research, quasi-detonation is simulated by using this correction model, which is in good agreement with experimental results. The thermodynamic characters of quasi-detonation show that it is thermally choked. These results show that the problem posed and the correction model introduced are correct.

Key concepts: Operator splitting, Detonation, Operator (biology), Combustion, Algorithm, Computer simulation, Momentum (technical analysis), Mathematics

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