A high-order splitting scheme for the advection-diffusion equation of pollutants

Article type: Research Article

Authors: Zheng, Yong-hong | Shen, Yong-ming | Qiu, Da-hong

Affiliations: Guangzhou Institute of Energy Conversion, the Chinese Academy of Sciences, Guangzhou 510070, China. E-mail: zhengyh@ms.giec.ac | State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology, Dalian 116023, China

Abstract: A high-order splitting scheme for the advection-diffusion equation of pollutants is proposed in this paper. The multidimensional advection-diffusion equation is splitted into several one-dimensional equations that are solved by the scheme. Only three spatial grid points are needed in each direction and the scheme has fourth-order spatial accuracy. Several typically pure advection and advection-diffusion problems are simulated. Numerical results show that the accuracy of the scheme is much higher than that of the classical schemes and the scheme can be efficiently solved with little programming effort.

Keywords: pollutants, advection-diffusion equation, high-order scheme, numerical modelling

Journal: Journal of Environmental Sciences, vol. 13, no. 4, pp. 444-448, 2001