研究磁流体自激发电现象的数值模拟方法

项目名称： 研究磁流体自激发电现象的数值模拟方法

项目编号： No.11272187

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 许明田

作者单位： 山东大学

项目金额： 85万元

中文摘要： 磁流体自激发电现象被认为是地球磁场、太阳磁场和其它星球及星系磁场的起因，并和快速增殖核反应堆的安全紧密相关，因此研究磁流体自激发电现象具有重要的科学意义和实用价值。现有对磁流体自激发电现象的数值模拟大都局限于周期性边界条件和磁普朗特数不低于0.005的情况。本项目拟首先改造我们提出的数值模拟磁流体自激发电运动学阶段的积分方程法，用于模拟真实边界条件下给定非稳态流场引起的自激发电现象。然后基于我们提出的描述磁感应现象的积分方程组和Navier-Stokes方程，构建描述磁流体自激发电现象的新的控制方程，并据此建立模拟真实边界条件和低磁普朗特数下的磁流体自激发电饱和阶段的新的数值方法,编制具有自主知识产权的数值模拟磁流体自激发电的软件。研究Taylor-Green流动引起的自激发电饱和阶段临界磁雷诺数随雷诺数和磁普朗特数的变化情况及磁场的非线性分叉规律。

中文关键词： 磁流体自激发电；平均场理论；湍流；；

英文摘要： Many celestial bodies including the Earth, the Sun, other planets, stars and galaxies have magnetic fields with spatial scales which are much larger than the basic scale of turbulence or turbulent convection. It has been widely recognized that these magnetic fields are generated by hydromagnetic dynamo actions. The hydromagnetic dynamo is alse closely related to the safty of fast breeder reactors.Therefore, it is of great scientific significance and practical value to study the hydromagnetic dynamo actions. Currently the most numerical simulations for dynamo actions take the periodic boundary conditions and are limited to the cases that the magnetic Prandtl numbers are not less than 0.005. This project aims to first improve the integral equation method proposed by us to simulate the kinematic dynamo actions induced by unsteady flows under the real magnetic boundary conditions. Then we attempt to establish the new governing equation of hydromagnetic dynamo actions by combining the integral equations for describing the magnetic induction phenomena and the Navier-Stokes equation. Based on this new governing equations of the hydromagnetic dynamo actions, we shall develop the new numerical methods to simulate the saturation regime of dynamo actions with low magnetic Prandtl number and real boundary conditions, and de

英文关键词： hydromagnetic dynamo；mean-field theory；turbulence；；