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Volume 12, Issue 2
The Time Second-Order Characteristic FEM for Nonlinear Multicomponent Aerosol Dynamic Equations in Environment

Kai Fu, Dong Liang, Wenqia Wang & Ming Cui

Int. J. Numer. Anal. Mod., 12 (2015), pp. 211-229.

Published online: 2015-12

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  • Abstract

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.

  • Keywords

Multi-component aerosol dynamic equations, condensation/evaporation, nonlinear coagulation, characteristic method, characteristic extrapolation, error estimate.

  • AMS Subject Headings

65M10, 65M15, 65N10, 65N15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-12-211, author = {Kai Fu, Dong Liang, Wenqia Wang and Ming Cui}, title = {The Time Second-Order Characteristic FEM for Nonlinear Multicomponent Aerosol Dynamic Equations in Environment}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2015}, volume = {12}, number = {2}, pages = {211--229}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/485.html} }
TY - JOUR T1 - The Time Second-Order Characteristic FEM for Nonlinear Multicomponent Aerosol Dynamic Equations in Environment AU - Kai Fu, Dong Liang, Wenqia Wang & Ming Cui 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 -

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.

Kai Fu, Dong Liang, Wenqia Wang and Ming Cui. (2015). The Time Second-Order Characteristic FEM for Nonlinear Multicomponent Aerosol Dynamic Equations in Environment. International Journal of Numerical Analysis and Modeling. 12 (2). 211-229. doi:
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