A nonnegativity preserved efficient chemical solver applied to the air pollution forecast

作者：Feng, Fan; Chi, Xuebin; Wang, Zifa^*; Li, Jie; Jiang, Jinrong; Yang, Wenyi

来源：Applied Mathematics and Computation, 2017, 314: 44-57.

DOI：10.1016/j.amc.2017.06.008

• Air pollution forecast
• Stiff ODES
• Nonnegativity preservation
• Modified-Backward-Euler
• Convergence

Air pollution forecast is becoming more and more important nowadays. The numerically sticky chemical ordinary differential equations (ODES) is a critical component of air pollution models. Various solvers have been designed for the chemical ODEs in the past. However, they are either slow or imprecise. In our previous work, we have designed a nonnegativity preserved efficient chemical solver MBE, which is an acronym for ModifiedBackward-Euler. In this paper, we review MBE method and prove its convergence and stability mathematically, which guarantee that MBE results converge to the exact solutions as the step-size becomes smaller and MBE results with relatively small step-size can be used as the standard. Then we apply MBE to the Nested Air Quality Prediction Modeling System (NAQPMS). Comparison between MBE and the most popular solver LSODE is also made. Considering the speed and precision, MBE is a better choice for the air pollution forecast.

• 出版日期2017-12-1
• 单位中国科学院; 中国科学院大气物理研究所; 大气边界层物理与大气化学国家重点实验室