| 多元多项式混沌法在随机方腔流动模拟中的应用 |
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| 引用本文： | 刘智益,王晓东,康顺.多元多项式混沌法在随机方腔流动模拟中的应用[J].工程热物理学报,2012(3):419-422. |
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| 作者姓名： | 刘智益 王晓东 康顺 |
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| 作者单位： | 华北电力大学电站设备状态检测与控制教育部重点实验室 |
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| 基金项目： | 国家自然科学基金资助项目(No.51176046);教育部留学回国人员科研启动基金资助项目 |
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| 摘 要： | 本文介绍了多元多项式混沌方法,采用此方法对随机层流Navier-Stokes方程进行求解,模拟了同时存在多个不确定因素影响的二维方腔驱动流。研究了当上下边界驱动速度和流体黏性系数为服从高斯分布的随机变量时所引起的流动结构的不确定性,着重分析了流场速度的统计特性,并与蒙特卡洛方法的计算结果进行了对比,对多项式混沌方法的结果进行了验证和确认。研究结果表明多项式混沌方法可以准确高效地模拟多个不确定性在流场中的传播,与蒙特卡洛方法相比体现出明显的优势。
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| 关 键 词： | 多项式混沌 蒙特卡洛方法 方腔流动 不确定性 数值模拟 |
Application of Multi-Dimensional Polynomial Chaos on Numerical Simulations of Stochastic Cavity Flow |
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| LIU Zhi-Yi WANG Xiao-Dong KANG Shun.Application of Multi-Dimensional Polynomial Chaos on Numerical Simulations of Stochastic Cavity Flow[J].Journal of Engineering Thermophysics,2012(3):419-422. |
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| Authors: | LIU Zhi-Yi WANG Xiao-Dong KANG Shun |
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| Institution: | LIU Zhi-Yi WANG Xiao-Dong KANG Shun (Key Laboratory of Power System Protection and Dynamic Security Monitoring and Control Ministry of Education, North China Electric Power University,Beijing 102206,China) |
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| Abstract: | The present paper introduces the mathematic background of multidimensional intrusive polynomial chaos(MIPC) method.The MIPC method was implemented for the compressible stochastic Navier-Stokes equations to simulate the non-deterministic behavior of a cavity flow under the influence of multiple uncertainties.The driven velocities and fluid viscosity were supposed to the uncertain variables with respect to Gaussian probability distributions.The results show the accuracy and efficiency of MIPC method on the simulation of propagation of uncertainties in the flow field, which were validated by Monte Carlo simulations. |
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| Keywords: | polynomial chaos Monte Carlo method cavity flow non-deterministic numerical simulation |
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