Sensitivity analysis of the atmospheric reaction-diffusion equation |
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| Affiliation: | 1. Department of Chemical Engineering, Northeastern University, Boston, MA 02115, USA;2. Department of Chemical and Biological Engineering, Tufts University, Medford, MA 02155, USA;1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;2. Department of Mathematical Sciences, University of Cincinnati, OH 45221-0025, USA;1. Laboratory for Chemical Technology, Ghent University, Ghent, Belgium;2. Combustion Chemistry Department, Sandia National Laboratories, Livermore, CA, USA |
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| 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. |
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