A Fully Conservative Ghost Fluid Method & Stiff Detonation Waves
A Fully Conservative Ghost Fluid Method & Stiff Detonation Waves
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发表时间：
2002
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通讯作者：
D. Nguyen
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作者：
D. Nguyen
我们提出了一种新的、完全保守的幻影流体方法，适用于跟踪材料界面、惰性冲击以及多达三个空间维度的爆燃波和爆轰波。在跟踪惰性冲击波和爆炸波时，精确的离散守恒特性最为重要，因此这是本文的重点。特别是，我们在粗网格上的刚性爆炸波的背景下解决了无粘反应欧拉方程。当化学反应的时间尺度明显短于流体动力学的时间尺度时，会出现主要困难，导致刚性源项和非物理波现象。我们使用水平集方法来跟踪爆轰波的位置，并使用幻影流体方法来处理该波的惰性激波部分的不连续量。这导致了尖锐的非模糊冲击轮廓，从而减轻了非物理波现象。
We present a new, fully conservative version of the ghost fluid method applicable for tracking material interfaces, inert shocks, and both deflagration and detonation waves in as many as three spatial dimensions. The exact discrete conservation properties are most important when tracking inert shocks and detonation waves, so that is the focus of this paper. In particular, we address the inviscid reactive Euler equations in the context of stiff detonation waves on coarse grids. The main difficulty here arises when the time scales of the chemical reaction are significantly shorter than the time scales of the fluid dynamics leading to a stiff source term and nonphysical wave phenomena. We use the level set method to track the location of the detonation wave and the ghost fluid method to treat the discontinuous quantities across the inert shock portion of that wave. This leads to a sharp non-smeared shock profile alleviating the nonphysical wave phenomena.