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首页> 外文期刊>Journal of Computational Physics >An exponential compact difference scheme for solving 2D steady magnetohydrodynamic (MHD) duct flow problems
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An exponential compact difference scheme for solving 2D steady magnetohydrodynamic (MHD) duct flow problems

机译：解决二维稳态磁流体动力学（MHD）管道流动问题的指数紧致差分方案

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摘要

In this article, an exponential high-order compact (EHOC) difference scheme on the nine-point stencil is developed for the solution of the coupled equations representing the steady incompressible, viscous magnetohydrodynamic (MHD) flow through a straight channel of rectangular section. A key property of the EHOC scheme is that it has excellent stability and higher accuracy so that the high gradients near the boundary layer areas can be effectively resolved without refining the mesh. Numerical experiments are carried out to validate the performance of the currently proposed scheme. Computation results of the MHD flow in the 2D square-channel problems with different wall conductivities are presented for Hartmann numbers ranging from 10 to 10 ~6. The numerical solutions obtained with the newly developed EHOC scheme are also compared with analytic solutions and numerical results by other available methods in the literature.
机译：在本文中，针对九个点模板上的指数高阶紧凑（EHOC）差分方案，针对表示通过矩形直截面通道的稳定不可压缩粘性流体力学（MHD）流动的耦合方程式的解决方案，进行了开发。 EHOC方案的关键特性是它具有出色的稳定性和较高的精度，因此可以有效解决边界层区域附近的高梯度而无需细化网格。进行了数值实验，以验证当前提出的方案的性能。给出了具有不同壁电导率的二维方波问题中MHD流的计算结果，其哈特曼数范围为10至10〜6。通过新开发的EHOC方案获得的数值解也通过文献中其他可用方法与解析解和数值结果进行了比较。

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