Dp. Chock et Sl. Winkler, A PARTICLE GRID AIR-QUALITY MODELING APPROACH .1. THE DISPERSION ASPECT, JOURNAL OF GEOPHYSICAL RESEARCH-ATMOSPHERES, 99(D1), 1994, pp. 1019-1031
A particle grid air quality modeling approach that can incorporate che
mistry is proposed as an alternative to the conventional partial diffe
rential equation (PDE) grid air quality modeling approach. In this app
roach, each particle is tagged with different species masses and parti
cles in the same grid participate in chemical reactions. The approach
is flexible and removes the advection and point source problems encoun
tered in the PDE approach. For a typical grid size of 5 km x 5 km x 50
m used in the lowest layer of an urban air quality model, use of 2000
-3000 particles of unequal masses per grid cell will yield a highly ac
curate grid-averaged instantaneous concentration field that undergoes
eddy diffusion for a period of about 1 day. Use of an hourly averaged
concentration reduces the damand of particle per cell to about 500. In
creasing the grid size also reduces the demand on the number of partic
les per cell. For the choice of our Lagrangian integral time scales, t
he time step must be small (10s) for vertical dispersion simulation bu
t can be large (200s) for horizontal dispersion simulation. To reduce
computation time, a time-splitting scheme is proposed to simulate the
horizontal and vertical dispersion simulations in an alternating seque
nce. The present study also shows that the off-used second-order-accur
ate finite difference scheme for solving the diffusion equation tends
to overpredict the peak of a sharply peaked concentration.