Mathematical models for atmospheric pollutants. Appendix C. Governing equations for atmospheric trace constituents and solution techniques. Final report

The governing equations for the evolution and fate of airborne gases and particles are described, and exact and approximate solution techniques are presented. Among the systems of equations are: the conservation of mass, momentum and energy and the equation of state for defining the motion, pressure, density and temperature fields of the atmosphere; the conservation of liquid water and water vapor; the radiation equations for the solar and terrestrial radiation intensities; the conservation equations for nonreactive and reactive gases and aerosols. The techniques for obtaining exact solutions of diffusion and aerosol equations are: series methods, integral transforms, similarity techniques, principle of superposition and Green's functions. Among the approximate solution techniques described in this document are: the classical techniques, such as successive approximations, asymptotic techniques, perturbation methods, the method of moments and integral methods; random walk and Monte are seriesarlo techniques; finite difference methods; spectral and variational methods, including finite element techniques