6533b7d2fe1ef96bd125e04b

RESEARCH PRODUCT

IMEX Finite Volume Methods for Cloud Simulation

B. WiebeJuliane RosemeierPeter SpichtingerMaria Lukacova-medvidova

subject

PhysicsNonlinear systemsymbols.namesakeFinite volume methodComputer simulationDiscretizationCompressibilityFluid dynamicssymbolsApplied mathematicsNavier–Stokes equationsEuler equations

description

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 cloud physics is approximated by small scale subtractions.

yearjournalcountryeditionlanguage
2017-01-01
https://doi.org/10.1007/978-3-319-57394-6_20