A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations

作者：Zhang, Qing; Su, Haiyan^*; Feng, Xinlong

来源：Numerical Algorithms, 2018, 78(1): 277-295.

DOI：10.1007/s11075-017-0376-z

• Time-dependent MHD
• Partitioned scheme
• Gauge-Uzawa method
• Finite element method
• Semi-implicit scheme

In this paper, we mainly introduce a partitioned scheme based on Gauge-Uzawa finite element method for the 2D time-dependent incompressible magneto-hydrodynamics (MHD) equations. It is a fully decoupled projection method which combines the Gauge and Uzawa methods within a variational formulation. Firstly, the temporal discretization is based on backward Euler technique for the linear term and semi-implicit scheme for the nonlinear term. Secondly, the spatial approximation of fluid velocity, hydrodynamic pressure, and magnetic field apply the mixed element method. Finally, the validity, reliability, and accuracy of the proposed algorithms are supported by numerical experiments.

• 出版日期2018-5
• 单位新疆大学