A mass-conservative characteristic splitting mixed element method for saltwater intrusion problem

The Journal of Nonlinear Sciences and its Applications

JiansongZhang¹  YuezhiZhang¹  ZhaohuiLiu¹ 

[1] Department of Applied Mathematics, China University of Petroleum, Qingdao 266580, China

关键词: Method of characteristics;    mass-conservative;    splitting mixed finite element;    error estimate;    saltwater intrusion problem;   

DOI  :  10.22436/jnsa.010.11.44

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

A new characteristic mixed finite element methodis developed for solving saltwater intrusion problem. In this algorithm, the splitting mixed finite element (SMFE) method is applied for solving the parabolic-type water head equation, and the mass-conservative characteristic (MCC) finite element method is applied for solving the convection-diffusion type concentration equation. The application of the splitting mixed element method results in a symmetric positive definite coefficient matrix of the mixed element system and separating the flux equation from the water head equation. While the mass-conservative characteristic finite element method does well in handling convection-dominant diffusion problem and keeps mass balance. The convergence of this method is considered and the optimal \(L^2\)-norm error estimate is also derived.

【 授权许可】

Unknown