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On the Problem of Multivalued Pressure in the Theory of Convection
Publisher: American Meteorological Society
Abstract: In the theory of convection, pressure is governed by a diagnostic partial differential equation which for appropriate boundary conditions does not have a unique solution. While from a dynamic point of view this may be of ...
A CONVERGENT METHOD FOR SOLVING THE BALANCE EQUATION
Publisher: American Meteorological Society
Abstract: The nonlinear balance equation is replaced by an infinite system of linear differential equations. This system has a series of solutions which under certain conditions converge toward the solution of the balance equation. ...
Efficient Numerical Integration of the Equations Governing Droplet Growth by Condensation
Publisher: American Meteorological Society
Abstract: For some droplet distributions, explicit numerical techniques are inadequate for the purpose of integrating the differential equations governing droplet growth through condensation. Efficient solution of these equations ...
Growth of Cloud Droplets by Condensation: A Problem in Computational Stability
Publisher: American Meteorological Society
Abstract: This article deals with the computational stability of numerical techniques for solving the equations governing droplet growth by condensation. A numerical analysis leads to the derivation of a simple stability criterion ...
A Case Study of the Validity of Finite Difference Approximations in Solving Dynamic Stability Problems
Publisher: American Meteorological Society
Abstract: The differential equation governing the problem of baroclinic stability has singularities when friction is omitted and leads, therefore, to a multivalued solution. For an analytic solution to the stability problem, theory ...
A Numerical Experiment in Dry and Moist Convection Including the Rain Stage
Publisher: American Meteorological Society
Abstract: Dry and moist convective slab-symmetric cells, initiated by means of a buoyant bubble, have been studied by solving numerically the appropriate physical equations. In the case of moist convection, by including the bulk ...