An efficient second-order characteristic finite element method for non-linear aerosol dynamic equations

作者：Liang Dong^*; Wang Wenqia; Cheng Yu

来源：International Journal for Numerical Methods in Engineering, 2009, 80(3): 338-354.

DOI：10.1002/nme.2639

• aerosol dynamic equation
• condensation advection
• non-linear coagulation
• characteristic method
• characteristic extrapolation
• high accuracy

In the paper we consider the non-linear aerosol dynamic equation on time and particle size, which contains the advection process of condensation growth and the process of non-linear coagulation. We develop an efficient second-order characteristic finite element method for solving the problem. A high accurate characteristic method is proposed to treat the condensation advection while a second-order extrapolation along the characteristics is proposed to approximate the non-linear coagulation. The method has second-order accuracy in time and the optimal-order accuracy of finite element spaces in particle size, which improves the first-order accuracy in time of the classical characteristic method. Numerical experiments show the efficient performance of our method for problems of log-normal distribution aerosols in both the Euler coordinates and the logarithmic coordinates.

• 出版日期2009-10-15
• 单位山东大学