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A Flux Method for the Numerical Solution of the Stochastic Collection Equation

1998

Abstract A new mass conservative flux method is presented for the numerical solution of the stochastic collection equation. The method consists of a two-step procedure. In the first step the mass distribution of drops with mass x′ that have been newly formed in a collision process is entirely added to grid box k of the numerical grid mesh with xk ⩽ x′ ⩽ xk+1. In the second step a certain fraction of the water mass in grid box k is transported to k + 1. This transport is done by means of an advection procedure. Different numerical test runs are presented in which the proposed method is compared with the Berry–Reinhardt scheme. These tests show a very good agreement between the two approaches…

HydrologyTime delay and integrationAtmospheric ScienceFlux methodMass distributionAdvectionNumerical gridMathematical analysisNumerical testsGridCollisionMathematicsJournal of the Atmospheric Sciences
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