TY - JOUR
T1 - The Time Second-Order Characteristic FEM for Nonlinear Multicomponent Aerosol Dynamic Equations in Environment
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 211
EP - 229
PY - 2015
DA - 2015/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/485.html
KW - Multi-component aerosol dynamic equations, condensation/evaporation, nonlinear coagulation, characteristic method, characteristic extrapolation, error estimate.
AB - <p style="text-align: justify;">An efficient time second-order characteristic finite element method for solving the
nonlinear multi-component aerosol dynamic equations is developed. While a highly accurate
characteristic method is used to treat the advection multi-component condensation/evaporation
process, a time high-order extrapolation along the characteristics is applied to approximate the
nonlinear multi-component coagulation terms. The scheme is of second order accuracy in time
for the multi-component problems. We study the theoretical analysis and obtain the time second-order
error estimate of the scheme. Numerical experiments are further given to confirm the
theoretical results. The dynamic behaviours of multi-component aerosol distributions are also
simulated for the multi-component aerosol problems of aerosol water, black carbon and sulfate
components with different tri-modal log-normal initial distributions.</p>