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1cm Particle-based simulations as a tool for ... - Faculty of Physics

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model description: summary<br />

Eulerian / PDE<br />

Lagrangian / ODE<br />

advection <strong>of</strong> heat<br />

particle transport by the flow<br />

advection <strong>of</strong> moisture<br />

condensational growth<br />

MPDATA advection scheme<br />

collisional growth<br />

(Smolarkiewicz 1983, . . . )<br />

sedimentation<br />

advection <strong>of</strong> trace g<strong>as</strong>es in-particle aqueous chemistry<br />

∂ t (ρ d r) + ∇(⃗vρ d r) = ρ d ṙ ṙ =<br />

∑<br />

particles ∈ ∆V<br />

∂ t (ρ d θ) + ∇(⃗vρ d θ) = ρ d ˙θ ˙θ =<br />

∑<br />

particles ∈ ∆V<br />

. . .<br />

. . .<br />

• recent examples in context <strong>of</strong> precipitating clouds:<br />

• Shima et al. 2009, QJ<br />

• Andrejczuk et al. 2010, JGR<br />

• Riechelmann et al. 2012, NJP

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