论文标题

混合混合混合不连续的Galerkin有限元法,用于不可压缩的可混杂位移问题

Hybrid mixed discontinuous Galerkin finite element method for incompressible miscible displacement problem

论文作者

Zhang, Jiansong, Yu, Yun, Zhu, Jiang, Qin, Rong, Yu, Yue, Jiang, Maosheng

论文摘要

一种新的混合混合不连续的Galerkin有限元(HMDGFE)方法是为不可压缩的可混蛋位移问题而构建的。在这种方法中,杂化混合有限元(HMFE)程序被认为可以解决压力和速度方程,并构建了一种新的混合混合混合不连续的盖素程序,以使用前风技术求解浓度方程。与其他传统的不连续的盖尔金方法相比,新方法可以以较不知名和稀疏的模具到达全球系统。分析了该方法的一致性和保护性,新技术也得出了稳定性和最佳误差估计。

A new hybrid mixed discontinuous Galerkin finite element (HMDGFE) method is constructed for incompressible miscible displacement problem. In this method, the hybrid mixed finite element (HMFE) procedure is considered to solve pressure and velocity equations, and a new hybrid mixed discontinuous Galerkin procedure is constructed to solve the concentration equation with upwind technique. Compared with other traditional discontinuous Galerkin methods, the new method can reach global systems with less unknowns and sparser stencils. The consistency and conservation of the method are analyzed, the stability and optimal error estimates are also derived by the new technique.

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