An Analysis of Two Schemes to Numerically Solve the Stochastic Collection Growth Equation
Fausto Carlos De Almeida, Roger D. Dennett · Journal of the Atmospheric Sciences · 1980
Two schemes for the numerical solution of the stochastic collection growth equation for cloud drops are compared. Their numerical approaches are different. One (the Berry/Reinhardt method) emphasizes accuracy; the other (the Bleck method) emphasizes speed. Our analysis shows that for applications where the number of solutions (time steps) does not exceed 104 the accuracy-oriented scheme is faster. For larger, repetitive applications, such as a comprehensive cloud model, an objective analysis can be made on the merits of exchanging accuracy for computational time.