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 secondorder 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&#8260evaporation nonlinear coagulation characteristic method characteristic extrapolation error estimate

  • AMS Subject Headings

65M10 65M15 65N10 65N15

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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 secondorder 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 KW - condensation⁄evaporation KW - nonlinear coagulation KW - characteristic method KW - characteristic extrapolation KW - 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 secondorder 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 & Ming Cui. (1970). 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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