二维不可压类流函数-速度形式\磁流体力学方程组的紧致差分算法
首发时间:2014-03-10
摘要:基于二维不可压类流函数-速度形式的磁流体力学方程组,本文分别建立了一种2阶5点常系数紧致差分格式以及一种高阶9点紧致差分格式。通过与具有解析解的算例进行比较,本文提出的方法均能符合理论上的预期精度。
关键词: 流体力学 紧致差分方法 完整磁流体力学模型 流函数-速度形式 不可压
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Compact finite difference methods for the quasi-streamfunction-velocity formulation of the two-dimensional incompressible full magnetohydrodynamic equations
Abstract:Based on the quasi-streamfunction-velocity formulation, a five-point constant coefficient second-orderand a nine-point high-order compact finite difference methods are developed for the two-dimensional steady-state incompressible full magnetohydrodynamics equations. Both of the approaches are verified by solving the test problem with the analytical solutions.
Keywords: Fluid mechanics compact finite difference method full magnetohydrodynamics equations streamfunction-velocity formulation incompressible
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二维不可压类流函数-速度形式\磁流体力学方程组的紧致差分算法
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