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| 多项式混沌法求解随机Burgers方程 | |
| 引用本文： | 王晓东,康顺. 多项式混沌法求解随机Burgers方程[J]. 工程热物理学报, 2010, 0(3) |
| 作者姓名： | 王晓东 康顺 |
| 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; |
| 基金项目： | 国家自然科学基金资助项目(No.90718025) |
| 摘 要： | 多项式混沌方法是研究不确定性CFD分析的方法之一。本文介绍了嵌入式多项式混沌方法的数学方法,并以一维Burgers方程为例,介绍了多项式混沌与非线性方程的耦合过程。并采用有限差分法求解一维随机Burgers方程,研究由于黏性系数的不确定性引起的方程解的变化。通过与解析解和采用蒙特卡洛法的模拟结果的对比,对模拟结果进行了验证与确认。研究结果表明多项式混沌方法可以有效地模拟不确定性在流场中的传播,并有很高的速度和精度。 |
| 关 键 词： | 不确定性 多项式混沌 蒙特卡洛模拟 数值模拟 Burgers方程 |
SOLVING STOCHASTIC BURGERS EQUATION USING POLYNOMIAL CHAOS DECOMPOSITION |
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| WANG Xiao-Dong KANG Shun. SOLVING STOCHASTIC BURGERS EQUATION USING POLYNOMIAL CHAOS DECOMPOSITION[J]. Journal of Engineering Thermophysics, 2010, 0(3) | |
| Authors: | WANG Xiao-Dong KANG Shun |
| Affiliation: | Key Laboratory of Condition Monitoring and Central for Power Plant Equipment;North China Electric Power University;Beijing 102206;China |
| Abstract: | Polynomials chaos(PC) method is one of the non-deterministic analysis methods which are used in CFD.In this paper,the mathematic model of intrusive polynomials chaos method and its application to nonlinear Burger equation were presented.The finite difference method coupled with intrusive polynomials chaos method was implemented for solving one dimension stochastic Burgers equation with uncertainty viscosity coefficient.The unsteady behavior of the solution was validated and verified by comparing with the an... |
| Keywords: | non-deterministic polynomial chaos Monte Carlo simulation numerical simulation Burgers equation |
| 本文献已被 CNKI 等数据库收录！ | |