Atmos. Chem. Phys. Discuss., 3, 4515-4548, 2003
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This discussion paper has been under review for the journal Atmospheric Chemistry and Physics (ACP). Please refer to the corresponding final paper in ACP.
Source-receptor matrix calculation with a Source-receptor matrix calculation with a backward mode
P. Seibert and A. Frank
Institute of Meteorology and Physics, University of Natural Resources (BOKU), Wien, Austria

Abstract. The possibility to calculate linear-source receptor relationships for the transport of atmospheric trace substances with a Lagrangian particle dispersion model (LPDM) running in backward mode is shown and presented with many tests and examples. The derivation includes the action of sources and of any first-order processes (transformation with prescribed rates, dry and wet deposition, radioactive decay, ...). The backward mode is computationally advantageous if the number of receptors is less than the number of sources considered. The combination of an LPDM with the backward (adjoint) methodology is especially attractive for the application to point measurements, which can be handled without artificial numerical diffusion. Practical hints are provided for source-receptor calculations with different settings, both in forward and backward mode. The equivalence of forward and backward calculations is shown in simple tests for release and sampling of particles, pure wet deposition, pure convective redistribution and realistic transport over a short distance. Furthermore, an application example explaining measurements of Cs-137 in Stockholm as transport from areas contaminated heavily in the Chernobyl disaster is included.

Citation: Seibert, P. and Frank, A.: Source-receptor matrix calculation with a Source-receptor matrix calculation with a backward mode, Atmos. Chem. Phys. Discuss., 3, 4515-4548, doi:10.5194/acpd-3-4515-2003, 2003.
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