| IDEAL算法在非稳态两相流问题中的性能分析 |
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| 引用本文： | 孙东亮,徐进良,陶文铨.IDEAL算法在非稳态两相流问题中的性能分析[J].化工学报,2012,63(6):1723-1728. |
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| 作者姓名： | 孙东亮 徐进良 陶文铨 |
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| 作者单位： | 1华北电力大学新能源电力系统国家重点实验室，北京 102206；2华北电力大学低品位能源多相流与传热北京市重点实验室,北京 102206；3西安交通大学能源与动力工程学院，陕西西安 710049 |
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| 基金项目： | 国家自然科学基金青年项目，国家重点基础研究发展计划项目，北京市自然科学基金，河北省自然科学基金 |
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| 摘 要： | 对于非稳态两相流问题，联立求解连续性方程和动量方程最为广泛使用的方法为：分步方法和SIMPLE系列算法。分步方法的优点是：收敛速度快，缺点是：初值问题条件稳定。SIMPLE系列算法优点是：初值问题绝对稳定，缺点是：收敛速度慢。为了克服传统的SIMPLE系列算法收敛速度慢这一缺点，本文引入了IDEAL算法。本文通过2个非稳态的两相流问题对SIMPLER和IDEAL两种不同算法在收敛速度方面进行了比较。通过比较可以看出IDEAL算法的收敛速度较SIMPLER算法得到了大幅提高，提高了约6~87倍，克服了传统SIMPLE系列算法收敛速度较慢的缺点，同时具有了初值问题绝对稳定和收敛速度快这两个优点。
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| 关 键 词： | 两相流 分步方法 SIMPLE系列算法 IDEAL算法 |
| 收稿时间： | 2011-11-17 |
| 修稿时间： | 2012-02-25 |
Performance analysis of IDEAL algorithm on unsteady two-phase flows |
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| SUN Dongliang
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XU Jinliang
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TAO Wenquan.Performance analysis of IDEAL algorithm on unsteady two-phase flows[J].Journal of Chemical Industry and Engineering(China),2012,63(6):1723-1728. |
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| Authors: | SUN Dongliang XU Jinliang TAO Wenquan |
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| Affiliation: | 1State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources,North China Electric Power University,Beijing 102206,China;2Beijing Key Laboratory of Multi-phase Flow and Heat Transfer of Low-grade Energy,North China Electric Power University,Beijing 102206,China; 3Xi’an Jiaotong University,Xi’an 710049,Shaanxi,China) |
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| Abstract: | For unsteady two-phase flows,the widely-used numerical approaches for solving continuity and momentum equations are fractional-step method and SIMPLE-family algorithms.The advantage of the fractional-step method is that the convergence rate is fast and the disadvantage is that the initial value problem is conditional stability.The SIMPLE-family algorithms are absolute stability for the initial value problem;however,their convergence rates are slow.For overcoming the disadvantage of the traditional SIMPLE-family algorithms,IDEAL algorithm was introduced.The convergence rates of SIMPLE-family and IDEAL were compared by two unsteady two-phase flow problems.It was found that IDEAL could enhance the convergence rate greatly,about 6—87 times over SIMPLE-family.Therefore,it could be concluded that IDEAL overcame the disadvantages and combined the advantages of the fractional-step method and the SIMPLE-family algorithms. |
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| Keywords: | two-phase flows fractional-step method SIMPLE-family algorithms IDEAL |
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