核事故污染物大气扩散的三维近实时模拟方法研究

Study on Three-dimensional Near Real-time Simulation Method for Pollutant Atmospheric Diffusion in Nuclear Accident

  • 摘要: 当核电站发生放射性物质泄漏事故时,及时地预报污染物的分布和浓度将为制定应急预案提供重要的技术支撑。求解污染物在大气中运输和扩散模拟时,虽边界条件、源项及其他物理参数可能会发生变化,但控制方程的数学形式不变。本文采用了缩减基有限元方法将这些变化的条件视为参数,利用少数具有代表性的经典有限元解构造了解空间的基函数,最后采用了仿射分解将系统拆分为参数有关部分和参数无关部分,大幅降低了系统矩阵和载荷向量的组装难度。实验结果表明,在线阶段的求解速度提高3个数量级左右,因此该方法可用于污染物扩散的近实时模拟。

     

    Abstract: When a radioactive material leakage accident occurs in a nuclear power plant, the timely forecast of the distribution and concentration of pollutant will provide important technical support for the formulation of emergency plan. While solving the transport and diffusion simulation of pollutant in the atmosphere, the boundary conditions, source terms and other physical parameters may change, but the mathematical form of the control equation is constant. The reduced basis finite element method was used to regard these changing conditions as parameters, and the basis functions of solution space were constructed by using a few representative classical finite element solutions. The system was divided into parameter-related part and parameter-independent part by affine decomposition, which greatly reduced the difficulty of assembling system matrix and load vector. The experimental results show that the solution speed of the online stage is increased by about three orders of magnitude. Therefore, this method can be applied to near real-time simulation of pollutant diffusion.

     

/

返回文章
返回