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

particle-based µ-physics vs. bulk, 2-moment, bin, 2D-bin
bulk 2 × N x ×N y ×N z variables
q c (x,y,z;t), q r (x,y,z;t)
2-moment 4 × N x ×N y ×N z variables
q c (x,y,z;t), N c (x,y,z;t), q r (x,y,z;t), N r (x,y,z;t)
bin N bins × N x ×N y ×N z variables
N(x,y,z,r w ;t) N 0
, N 1
, N 2
, . . .
... still no tracking of information on nuclei size (r d )
2D-bin N d bins ×Nw bins × N x×N y ×N z vars (Lebo & Seinfeld 2011)
N(x,y,z,r w ,r d ;t) N 0,0
, N 0,1
, ..., N 1,0
, N 1,1
...
... next aerosol attribute one more dimension!
particle N particles × N attributes vars
• scales better with N attributes (e.g. aerosol chemistry)
• N particles huge but ODEs cheaper to solve than PDEs
• ”compact” particle-level formulation
aerosol processes ”resolved”, not parameterised