Clark's Partially Implicit Method for Efficient Solution of the Condensation Equations

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Abstract

For some droplet distributions the equations governing the process of droplet growth by condensation constitute a stiff system, i.e., a system containing small as well as large time constants. Solution of such systems by standard numerical techniques often requires the use of extremely small time steps in order to maintain stability or convergence. This paper contains a description and analysis of an efficient, easy-to-apply solution procedure that provides stability without practical restriction on the size of the time step.

Abstract

For some droplet distributions the equations governing the process of droplet growth by condensation constitute a stiff system, i.e., a system containing small as well as large time constants. Solution of such systems by standard numerical techniques often requires the use of extremely small time steps in order to maintain stability or convergence. This paper contains a description and analysis of an efficient, easy-to-apply solution procedure that provides stability without practical restriction on the size of the time step.

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