0000000000172069
AUTHOR
Juliane Rosemeier
showing 2 related works from this author
IMEX Finite Volume Methods for Cloud Simulation
2017
We present new implicit-explicit (IMEX) finite volume schemes for numerical simulation of cloud dynamics. We use weakly compressible equations to describe fluid dynamics and a system of advection-diffusion-reaction equations to model cloud dynamics. In order to efficiently resolve slow dynamics we split the whole nonlinear system in a stiff linear part governing the acoustic and gravitational waves as well as diffusive effects and a non-stiff nonlinear part that models nonlinear advection effects. We use a stiffly accurate second order IMEX scheme for time discretization to approximate the stiff linear operator implicitly and the non-stiff nonlinear operator explicitly. Fast microscale clou…
Pattern formation in clouds via Turing instabilities
2020
Pattern formation in clouds is a well-known feature, which can be observed almost every day. However, the guiding processes for structure formation are mostly unknown, and also theoretical investigations of cloud patterns are quite rare. From many scientific disciplines the occurrence of patterns in non-equilibrium systems due to Turing instabilities is known, i.e. unstable modes grow and form spatial structures. In this study we investigate a generic cloud model for the possibility of Turing instabilities. For this purpose, the model is extended by diffusion terms. We can show that for some cloud models, i.e special cases of the generic model, no Turing instabilities are possible. However,…