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THERMAL CONDUCTION IN A 2-D FCT PLASMA HYDRODYNAMIC CODE

机译:二维FCT等离子体水动力代码中的热传导

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This paper presents an algorithm for inclusion of thermal conduction in a 2-D hydrodynamic code for compressible inviscid plasmas. The code is flexible for a wide series of applications in astrophysics, solves the hydrodynamic equations in conservative form in the most used coordinate systems and is based on an explicit fully 2-D flux corrected transport technique (FCT). The algorithm separates the energy equation in two distinct sections, characterized by different integration time steps (time splitting). The dynamic section is solved with the usual FCT scheme; the thermal section is solved using an implicit alternating-direction numerical scheme, which ensures unconditional numerical stability. The formulation is such to describe the plasma energy evolution also in non-uniformly spaced grids and in different coordinate systems. A whole set of tests of increasing complexity are presented to check the accuracy of the code. [References: 18]
机译:本文提出了一种在可压缩的无粘性等离子体的二维流体力学代码中包含热传导的算法。该代码可灵活用于天体物理学中的一系列应用,可在最常用的坐标系中以保守形式求解流体力学方程,并且基于显式的全二维通量校正传输技术(FCT)。该算法将能量方程式分为两个不同的部分,以不同的积分时间步长(时间分割)为特征。动态部分用通常的FCT方案解决;使用隐式交替方向数值方案求解热截面,从而确保了无条件数值稳定性。该公式描述了等离子体能量在不均匀间隔的网格和不同坐标系中的演化。提出了一系列复杂性不断提高的测试,以检查代码的准确性。 [参考:18]

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