Computer Engineering and Applications ›› 2017, Vol. 53 ›› Issue (15): 63-67.DOI: 10.3778/j.issn.1002-8331.1701-0355

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Comparison of finite volume methods for numerical simulation of reacting flow

HOU Qingzhi1, SHEN Jiayuan2, WEI Jianguo2   

  1. 1.School of Computer Science and Technology, Tianjin University, Tianjin 300354, China
    2.School of Software, Tianjin University, Tianjin 300354, China
  • Online:2017-08-01 Published:2017-08-14



  1. 1.天津大学 计算机科学与技术学院,天津 300354
    2.天津大学 软件学院,天津 300354

Abstract: For the numerical simulation of reacting flow, a unified flux scheme is deduced according to the finite volume method. Fluxes corresponding to ten different methods are obtained and their numerical behavior is systematically compared. It is shown that the first-order accuratemethods like the upwind and Lax-Friedrichs(LF) schemes, the second-order accuratemethods including the second order upwind, Lax-Wendroff, Beam-Warming and Fromm schemes, and the third-order accurate QUICK scheme, will cause serious either numericaldissipation orunphysical oscillation, due to which numerical accuracy is remarkably reduced. The modified TVD-LF(MTVDLF) scheme with a flux limiter can eliminate both the numerical dissipation and unphysical oscillation, and the Superbee limiter is most suitable for the simulation of reacting flow.

Key words: autocatalytic reaction, convection reaction, finite volume method, flux scheme

摘要: 针对自催化反应流模型的计算,推导了基于有限体积方法的统一通量格式以及十种常用格式的具体形式,并通过数值实验比较了其数值特性。结果表明:无论是一阶精度的迎风格式和Lax-Friedrichs格式,二阶精度的二阶向前差分、Lax-Wendroff、Beam-Warming和Fromm格式还是三阶精度的QUICK格式都会引起较严重的数值耗散和数值震荡,严重降低了数值精度,而带有通量限制器的MTVDLF格式可以消除数值耗散和数值震荡,并且带有Superbee限制器的MTVDLF最适合模拟自催化反应流问题。

关键词: 自催化反应, 对流反应, 有限体积法, 通量格式