研究论文
刘峰,胡非,王锷一.用伴随方程研究空气污染的优化控制[J].环境科学学报,2003,23(4):472-475
用伴随方程研究空气污染的优化控制
- Study on optimal control of air pollution using adjoint equation
- 基金项目：中国科学院知识创新工程项目KZCX2204资助
- 作者
- 单位
- 刘峰
- 中国科学院大气物理研究所LAPC,北京 100029
- 胡非
- 中国科学院大气物理研究所LAPC,北京 100029
- 王锷一
- 中国科学院大气物理研究所LAPC,北京 100029
- 摘要：从一类常见的空气污染控制问题出发,推导了三维非平坦地形下大气平流扩散方程的伴随方程,利用伴随方程和原始方程的关系,对优化控制问题进行了等价变形,大大降低了计算量.文中指出,空气污染预报问题是正问题,适合用平流扩散原始方程求解;控制问题是反问题,用伴随方程求解是很自然的途径.
- Abstract：Based on a set of problems on the optimal control of air pollution, the adjoint equation of the transport diffusion equation for three dimensional, uneven terrain was derived. Based on the relationships between the adjoint equation and its original equation, the problems of optimization could be transformed, equivalently. After the transformation, the number of calculations coule be largely reduced. It was indicated that the prediction is a direct problem and is to be solved with the original equation in the direct way. On the other hand, the optimal control is a reverse problem and is to be solved with the adjoint equation.
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