An Improved numerical manifold method model for groundwater flow problems. (1st April 2021)

• Record Type: Journal Article
• Authors: Wang, Yuan; Zhou, Lingfeng; Feng, Di
• Is Part Of: Engineering analysis with boundary elements. Volume 125(2021)
• Page Start: 218
• Page End: 232
• Publication Date: 2021-04-01
• Subjects: Numerical manifold method -- Hermite interpolation -- Weight function -- Darcy flow -- local-refined mesh -- C1 continuity; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2020.12.017
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: This paper presents an improved numerical manifold method (NMM) model for groundwater flow problems. Hermite interpolation is adopted to construct NMM approximation in order to enhance the accuracy and convergence. Therefore, the new model can achieve accurate solution with C 1 continuity in coarse mesh. Compared with conventional high-order NMM, the proposed method is free from linear dependance problem with even better accuracy and convergence. In addition, a local-refined mesh is used to interpolate detail information of the solution without significantly increasing computation time. The accuracy and convergence of the improved NMM model for groundwater flow problems are demonstrated by several examples.