MMM SEMINAR NCAR
On the Accuracy and
Convergence of Numerical Solution of the
Collision-Coalescence Equation
Lian-Ping Wang
Department of Mechanical Engineering
University of Delaware
Abstract
For hydrodynamic collision kernels, the time evolution of
droplet size spectrum is only obtainable through numerical solution. When
addressing the effect of air turbulence on the growth rate of cloud droplets,
it is necessary to separate out the effect of turbulence-enhanced collision kernel
from the numerical dispersion and diffusion errors. In this talk, I will
address the origins of numerical errors and the convergence rates for several
numerical methods, including the high-order integral method of Berry and
Reinhardt (1974), the linear flux method of Bott (1998), and the linear
discrete method of Simmel (2002), and two new methods we have developed in our
on-going research. In our own methods, we attempt to introduce a more rigorous
and logical procedure to describe the nature of mass transfer and
re-distribution due to collision-coalescence among discrete bins. Important
implementation details of the new methods as well as quantitative comparisons
with results from other methods will be presented.
Thursday, 6 January 2005,
3:30 PM
Refreshments 3:15 PM
NCAR-Foothills Laboratory
3450 Mitchell Lane
Bldg 2 Auditorium (Rm1022)