Application of Front Tracking to Two Dimensional Curved Detonation Fronts
Application of Front Tracking to Two Dimensional Curved Detonation Fronts
复制标题
波前跟踪在二维弧形爆炸波前的应用
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
B. Bukiet
中科院分区：
文献类型：
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作者：
B. Bukiet
这是描述一个程序的系列论文中的第一个，该程序有可能在爆轰波的数值模拟方面实现重大改进。在这篇文章中，我们建立了二维爆轰问题的前沿跟踪方法的收敛性质。采用Chapman-Jouguet(CJ)薄火焰模型。描述了一种求解这些模型方程的迭代方法，并证明了该方法是收敛的。然后我们以一个轴对称的膨胀强爆轰波作为测试问题。用精细网格上的随机选择算子分裂方法求解该几何模型方程是精确的。讨论了该解的前沿跟踪解的收敛问题，并建立了收敛速度。特别是对于无支撑的发散爆轰，需要对曲率进行修正。这个问题将在本系列的下一篇论文中讨论。
This is the first of a series of papers describing a program which has a potential for achieving a significant improvement in the numerical modeling of detonation waves. In this paper, we establish the convergence of the front tracking method for two-dimensional detonation problems. The Chapman–Jouguet (CJ) thin flame model is used. An iterative method for the solution to these model equations, and for which we prove convergence, is described. We then take as a test problem a cylindrically symmetric expanding strong detonation wave. The solution to the model equations in this geometry by the random choice method with operator splitting computed on a fine grid is taken to be exact. The convergence of the front tracking solution to this solution is discussed and convergence rates are established.The methods described above use planar detonation wave speeds. Corrections due to curvature are needed especially for unsupported diverging detonations. This issue will be addressed in the next paper in this series.