AN APPLICATION OF GSMAC-FEM TO ELECTRICALLY CONDUCTING FLUID FLOWS DRIVEN BY LORENTZ FORCE
AN APPLICATION OF GSMAC-FEM TO ELECTRICALLY CONDUCTING FLUID FLOWS DRIVEN BY LORENTZ FORCE
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GMAC-FEM 在洛伦兹力驱动导电流体中的应用
DOI：
10.1080/10618569308904474
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发表时间：
1993
影响因子：
1.3
通讯作者：
K. Henjes
中科院分区：
文献类型：
--
作者：
T. Tanahashi;Y. Oki;K. Henjes
本文提出了一种求解不可压缩导电流体流动的新的有限元方法。该方法满足质量、磁通量和电流守恒定律。为了同时满足磁场和电流场的螺线管条件，采用了广义简化标记和单元法（GSMAC）的主要算法。计算了电磁力作用下两平行平板间的流动，验证了该方法的有效性。数值结果与其它数值结果或精确解一致。如图1所示，通过GSMAC-FEM在两个平行板之间的电极附近清楚地模拟了M形轴向速度分布。
ABSTRACT A new finite element method for incompressible, electrically conducting fluid flow is presented. This method satisfies the conservation laws of mass, magnetic flux and electric current. The main algorithm of the GSMAC (generalized simplified marker and cell) method is employed in order to satisfy the solenoidal conditions of both magnetic and electric current fields. The flow between two parallel plates, driven by electromagnetic forces are calculated to verify this new method. Numerical results obtained here agree with other numerical results or exact solutions. M-shape axial velocity profiles are clearly simulated by GSMAC—FEM near the electrode between two parallel plates as shown in Figure 1.