Stabilized FEM solution of MHD flow over array of cubic domains

Selçuk Han AYDIN
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Abstract

In this study, 3D magnetohydrodynamic (MHD) equations are considered in array of cubic domains having insulated external boundaries separated by conducting thin walls. In order to obtain stable solutions, stabilized version of the Galerkin finite element method is used as a numerical scheme. Different problem parameters and configurations are tested in order to visualize the accuracy and efficiency of the proposed algorithm. Obtained solutions are visualized as contour lines of 2D slices taken from the obtained 3D domain solutions.
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三次域阵列上MHD流动的稳定有限元解
在这项研究中,三维磁流体动力学(MHD)方程被考虑在具有绝缘外部边界的立方域阵列中,这些边界由导电薄壁分开。为了得到稳定解,采用稳定版伽辽金有限元法作为数值格式。对不同的问题参数和配置进行了测试,以显示所提出算法的准确性和效率。将得到的解可视化为从得到的三维域解中提取的二维切片的等高线。
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