An optimal-order error estimate of the lowest-order ELLAM-MFEM approximation to miscible displacement in three space dimensions
An optimal-order error estimate of the lowest-order ELLAM-MFEM approximation to miscible displacement in three space dimensions
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DOI：
10.1016/j.cam.2020.112819
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发表时间：
2020-09
期刊：
影响因子：
--
通讯作者：
Hong Wang;Xiangcheng Zheng
中科院分区：
文献类型：
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作者：
Hong Wang;Xiangcheng Zheng
在实际合理的时间步长约束Δ t= O（h）下，证明了三维地下多孔介质中混溶驱问题时变非线性偏微分方程耦合系统的最低阶ELLAM-MFEM时间步长方法的最优阶误差估计.采用欧拉-拉格朗日局部化伴随方法（ELLAM）和混合有限元方法（MFEM）分别求解输运方程和压力方程。这在数学上证明了ELLAM-MFEM求解程序的数值优势。
An optimal-order error estimate for the lowest-order ELLAM-MFEM time-stepping procedure for the coupled system of time-dependent nonlinear partial differential equations modeling miscible displacement that moves through the three-dimensional subsurface porous media is proved, under a practically reasonable time-step constraint of Δ t= O (h). In the procedure, the Eulerian–Lagrangian localized adjoint method (ELLAM) and the mixed finite element method (MFEM) are used to solve the transport equation and the pressure equation, respectively. This mathematically justifies the numerical advantages of the ELLAM-MFEM solution procedure.