Two-dimensional simulation of cylindrical detonation
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摘要: 基于带化学反应的二维Euler方程，对圆柱形爆轰波的直接起爆和传播过程进行了二维数值模拟研究，拟分析起爆条件和初始压强对圆柱形爆轰波形成和传播的影响。研究发现，圆柱形爆轰波起爆成功向外传播的过程中，新的三波结构的生成标志着爆轰波进入稳定传播阶段。在起爆能量足够的情况下，起爆半径(曲率)的大小决定着三波结构初始形成时的数目和传播半径，起爆压强对其基本不产生影响；起爆半径大(曲率小)时，三波结构初始形成时的传播半径大、数目多，圆柱形爆轰波进入稳定传播阶段的传播距离长；数值模拟中，初始压强的提高，有助于圆柱形爆轰在较短的传播距离内进入稳定传播阶段。Abstract: Based on two-step reactive Euler equations, two-dimensional simulation of cylindrical detonation (CD) is performed. The objective is to study the influence of ignition conditions and initial pressure on the formation and propagation of CD. It is found that the new-generation of triple shock waves is the sign that CD becomes stable as it is running outwards. As long as CD could be ignited successfully, the ignition radius (curvature) decided the number and location of initial-generated triple shock waves, and the ignition pressure has little influence on them. When the ignition radius is large, the number and running radius of initial-generated triple shock waves is large as well, and long running distance is needed for CD to become stable. When the initial pressure is elevated, CD becomes stable in shorter running distance.
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图 1 圆柱形爆轰波物理模型和计算区域
Figure 1. Physical model and computational domain of cylindrical detonation wave
图 2 3种网格下圆柱形爆轰波的胞格结构
Figure 2. Cellular pattern of cylindrical detonation using three different grid sizes
图 6 起爆压强对三波结构初始形成时的影响
Figure 6. Influence of ignition pressure on the new-generated triple shock waves
图 7 起爆半径对三波结构初始形成时的影响
Figure 7. Influence of ignition radius on the new-generated triple shock waves
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