Abstract
The development of a variational approach for solving interrelated problems of atmospheric hydrodynamics and chemistry is presented. The variational approach allows expanding the class of concerned problems for a complex study of different-scale physical and chemical processes using the methods of direct and inverse modeling for these purposes. A technology of constructing consistent mathematical models and methods of their numerical implementation based on the variational principle in the weak constraint statement is described. Solutions of local and global adjoint problems are of great importance for constructing the algorithms of direct and inverse modeling. Implementing the idea of adjoint integrating factors provides unconditionally monotone and stable discrete-analytic approximations for convection-diffusion-reaction problems.
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Original Russian Text © V.V. Penenko, E.A. Tsvetova, A.V. Penenko, 2015, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2015, Vol. 51, No. 3, pp. 358–367.
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Penenko, V.V., Tsvetova, E.A. & Penenko, A.V. Development of variational approach for direct and inverse problems of atmospheric hydrodynamics and chemistry. Izv. Atmos. Ocean. Phys. 51, 311–319 (2015). https://doi.org/10.1134/S0001433815030093
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DOI: https://doi.org/10.1134/S0001433815030093