Limited Advection Schemes for Solving the Advection Dispersion Equation

摘要：

The accurate numerical solution of advection equation is of great interest for modeling the advection-dominated contaminant transport problems. This paper presents the comparative study of two numerical schemes, Lax-Wendroff scheme and QUICKEST scheme, in which the flux limiter algorithm is incorporated for solving the advection equation. The von Neumann stability analysis is employed to demonstrate the stability property of the numerical scheme for solving the linear partial differential equation. The numerical tests are carried out and the comparison between the numerical results with the analytical solutions has been carried out. Moreover, the experimental data have been used to test the developed model. It is found both the QUICKEST and Lax-Wendroff (LW) schemes with the flux limiter algorithm could achieve accurate results without numerical oscillations near the sharp gradient of the variables. However, the limited LW algorithm is much simpler than the limited QUICKEST and can be extended to the fully 2D flow and mass simulation.

关键词： numerical method advection dispersion flux limiter contaminant transport model Von Neumann stability analysis QUICKEST scheme Lax-Wendroff scheme

作者: GUAN Yiqing ZHANG Danrong YU Weidong WANG Jing

作者单位: College of Water Resources and Hydrology, Hohai University, Nanjing 210098, Jiangsu, China State Key Lab of Hydrology and Hydraulic Engineering, Hohai University, Nanjing 210098, Jiangsu, Chi College of Environmental Science and engineering, Hohai University, Nanjing 210098, Jiangsu, China

会议类型: 国际会议

会议名称: 2007环境科学与技术国际会议(The 2007 International Symposium on Environmental Science and Technology)

会议地点: 北京

会议语种:英文

在线出版日期: 2007-11-13（万方平台首次上网日期，不代表论文的发表时间）