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Application of the perturbation theory to the sensitivity analysis of an air pollution model
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1983
Year
Numerical AnalysisApplied Mathematical ModellingEnvironmental MonitoringEngineeringEnvironmental Impact AssessmentUrban Air QualityAir QualitySource ApportionmentAir Pollution ControlAir Pollution ModelAtmospheric ScienceEnvironmental HealthNumerical SimulationTransport PhenomenaSensitivity AnalysisModeling And SimulationPerturbation TheoryEnvironmental EngineeringDiffusion ProcessDiffusion-based ModelingAir PollutionAir Pollution Transport
Inadequate quality and accuracy of input data and high requirements for computer time are serious problems arising in mathematical modelling of air pollution transport. The determination of the model sensitivity to perturbations in input parameters may be very useful in solving these problems. The application of the perturbation theory and influence function concept to the sensitivity analysis of the air pollution model is described. The model considered is based on the diffusion equation of the K-theory. Some results of numerical simulations for a simple two-dimensional diffusion model are also presented. The proposed approach is particularly interesting in dealing with spatially and temporally distributed parameters, as are meteorological variables. 30 references.