Abstract
A general and computationally efficient methodology for the sensitivity analysis of space-time atmospheric reaction-diffusion problems is presented. For cases where the parameters or initial conditions vary spatially the elementary sensitivity analysis is based on sensitivity densities. Procedures are discussed to calculate these sensitivities directly as well as those integrated over a finite disturbance region. In addition, the analysis of the system Green's function is shown to be very useful in interpreting the spatial and temporal variation of the sensitivity densities. The techniques are illustrated by analyzing a one-dimensional time-dependent atmospheric transport-chemistry problem where an initial distribution of pure NO is injected into a homogeneous background of O3.
Original language | English (US) |
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Pages (from-to) | 2589-2598 |
Number of pages | 10 |
Journal | Atmospheric Environment (1967) |
Volume | 21 |
Issue number | 12 |
DOIs | |
State | Published - 1987 |
All Science Journal Classification (ASJC) codes
- General Environmental Science
- General Earth and Planetary Sciences
Keywords
- Galerkin finite element method
- Green's function analysis
- NO-O reaction-diffusion
- Sensitivity analysis
- reaction-diffusion equation