Conservative integrals of adiabatic Durran's equations

摘要: Potential advances are investigated in the area of generalized anelastic approximations. Consistent control-volume integrals designed and compared for established Lipps-Hemler form (of approximation) Durran's pseudo-incompressible form. The Durran system provides a unique theoretical tool - useful research geophysical stellar flows within existing set reduced, Boussinesq-type fluid models. It represents thermal aspects compressibility free sound waves, yet momentum equation is unapproximated. latter admits unabbreviated baroclinic production vorticity, thus facilitating separation baroclinicity effects per se. Compared with other reduced models, there little cumulative experience integrating system. Perhaps first conservative integrations equations presented, using flux-form transport methods exact projection associated elliptic problem. Because resulting code built from preexisting model, consistency numerics assured minimizing uncertainties ad hoc comparisons. While broader physical implications addressed, considerations illustrated examples atmospheric flows.