期刊
MATHEMATICS
卷 10, 期 3, 页码 -出版社
MDPI
DOI: 10.3390/math10030515
关键词
groundwater flow; generalized finite difference method; Crank-Nicolson; transient
类别
资金
- Government of Shandongs Education System for studying abroad
- key R amp
- D plan of Zibo city: Intelligent Water IoT cloud service platform of Zishui Online [2019ZBXC246]
A hybrid localized meshless method is developed for solving transient groundwater flow in two dimensions by combining the Crank-Nicolson scheme and the generalized finite difference method. The method shows good accuracy and convergence.
In this work, a hybrid localized meshless method is developed for solving transient groundwater flow in two dimensions by combining the Crank-Nicolson scheme and the generalized finite difference method (GFDM). As the first step, the temporal discretization of the transient groundwater flow equation is based on the Crank-Nicolson scheme. A boundary value problem in space with the Dirichlet or mixed boundary condition is then formed at each time node, which is simulated by introducing the GFDM. The proposed algorithm is truly meshless and easy to program. Four linear or nonlinear numerical examples, including ones with complicated geometry domains, are provided to verify the performance of the developed approach, and the results illustrate the good accuracy and convergency of the method.
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