| GEAR算法在随机轨道模型计算中的应用 |
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| 引用本文： | 唐庆,徐旭常.GEAR算法在随机轨道模型计算中的应用[J].工程热物理学报,1997(5). |
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| 作者姓名： | 唐庆 徐旭常 |
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| 作者单位： | 清华大学煤的高效低污染燃烧国家重点实验室!北京，100084，清华大学煤的高效低污染燃烧国家重点实验室!北京，100084 |
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| 摘 要： | 本文对随机轨道模型中颗粒相常微分方程组的刚性问题进行了分析，结果表明：当采用常规算法如四阶Runge－kutta法求解方程组时，方程组的刚性是导致某些情况下计算发散或计算时间过长的原因。为此，本文将适用于求解刚性方程组的Gear算法应用于随机轨道模型的计算中，取得了良好的效果．
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| 关 键 词： | 随机轨道模型 刚性常微分方程组 Gear算法 |
THE APPLICATION OF GEAR ALGORITHM IN STOCHASTIC TRAJACTORY MODEL |
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| TANG Qing XU Xuchang.THE APPLICATION OF GEAR ALGORITHM IN STOCHASTIC TRAJACTORY MODEL[J].Journal of Engineering Thermophysics,1997(5). |
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| Authors: | TANG Qing XU Xuchang |
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| Abstract: | This paper analysises the trigidity of differential equations of particle phase in stochastic trajactory model. It is shown that the trigidity of differential equations is the reason of computing failure in some cases when we use traditional algorithm such as Runge-Kutta algorithm to solve these equations. To overcome this difficulty the Gear algorithm which is especially suitable for solving rigid differential equations has been introduced in the calculating of stochastic trajactory model and achieves considerable success. |
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| Keywords: | stochastic trajactory model rigid differential equations gear algorithm |
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