Front capturing by level set method for the reactive Euler equations
Front capturing by level set method for the reactive Euler equations
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DOI：
10.1002/fld.4995
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发表时间：
2021-04
影响因子：
1.8
通讯作者：
Min Xiao;Guoxi Ni;Cheng Wang;Tonghui Yang
中科院分区：
文献类型：
--
作者：
Min Xiao;Guoxi Ni;Cheng Wang;Tonghui Yang
在本文中，我们提出了一种可压缩反应流的前沿捕捉方法，其中激波跟踪技术与Level Set方法相结合。在刚性反应问题中，当源项的时间尺度明显短于齐次守恒定律的时间尺度时，困难就出现了。由于涂抹出的激波剖面，可能会出现伪数值现象。为了克服这一困难，采用Level Set技术快速捕捉爆轰波阵面，并在被爆轰波阵面切割的计算单元上发展了一种改进的有限体积格式。化学反应流的质量、动量和能量转变发生在激波前沿。在我们的方法中，界面交换是通过考虑黎曼问题来计算的。与标准水平集/幽灵流体方法不同，我们的方法能够保持对激波间断的守恒性。一维和二维数值算例，包括稳定和不稳定爆轰问题，验证了该方法的良好可靠性和稳健性。
In this article, we present a front capturing method for compressible reactive flows, where a shock tracking technique is applied with level set method. In stiff reaction problems, the difficulty arises when the time scale of the source term is significantly shorter than the time scale of the homogeneous conservation law. The spurious numerical phenomenon may occur due to the smeared out shock profiles. In order to overcome the difficulty, the detonation front is captured sharply by level set technique, and a modified finite volume scheme is developed at the computational cells cut by detonation front. The mass, momentum, and energy transitions are occurred on shock front for chemical reactive flows. In our method, the interface exchanges are calculated by considering a Riemann problem. Unlike the standard level set/ghost fluid method, our method can maintain the conservation on the shock discontinuity. One‐ and two‐dimensional numerical examples including stable and unstable detonation problems are illustrated to verify the good reliability and robustness of our method.