大气环境污染气溶胶预测高效数值方法的理论和应用

项目名称： 大气环境污染气溶胶预测高效数值方法的理论和应用

项目编号： No.11271232

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： 王文洽

作者单位： 山东大学

项目金额： 54万元

中文摘要： 大气环境污染的重要因素之一是大气气溶胶的影响。气溶胶数值模拟是对大气气溶胶的物理化学特征、时空分布和变化进行的定量化模拟和预测。气溶胶的动力学和输运模型是一类复杂的非线性积分-微分方程，气溶胶颗粒的微米级矢径尺度与所处的三维输运空间的千米级尺度的量级相差悬殊，所需模拟时间长、区域大，因此，气溶胶的数值模拟是十分困难的课题。本课题在区域分解、算子分裂和特征线法的基础上，研究气溶胶模型的具有高精度、强稳定、本质并行、方便使用的有效算法及其理论和应用。对于典型问题研制相应的软件，为实际应用奠定基础。本项目对人体呼吸系统气溶胶的数值模拟有很好的借鉴作用。

中文关键词： 大气气溶胶动力学和输运模拟；高精度算法；并行计算；数值分析；

英文摘要： Aerosols in the atmosphere have a great impact on air pollution. The aerosol modeling is the simulation and prediction of the physical and chemical properties of atmospheric aerosols, and their distribution and change in space and time. The aerosol dynamics and transport models are complicated systems of non-linear integro-differential equations. In the numericel simulation of aerosols, the typical microphysical micrometer-scale of aerosol diameter has to be compared to the kilometer-scale of the three dimensional atmosphere space, and the model generally needs to be evaluated in a big area for a long time, which make the aerosol simulation to be a challegening work. Based on the domain decomposition method, operator splitting method, and characteristic method, we will research on the theory and application of parallel methods for aerosol models which have high accuracy and stability. And softwares will be developed for typical problems, which shall laid the foundation for the application in real life. The work also useful for the numerical simulation of aerosol particles in the human respiratory system.

英文关键词： aerosol dynamics and transport simulation；high-order methods；Parallel computing；numerical analysis；