声场波数积分最大截止波数自动选取算法

为了提高声场波数积分传递函数矩阵法的计算稳定性与精确性，提出基于预估-校正思想的最大截止波数自动选取算法，具有简单可靠、附带计算量小的优点。自由空间球面波算例测试结果表明，传递函数自下而上（单向）求解顺序的计算稳定性相对较差，在声源上方易出现积分核函数非物理发散，需要在不同深度上采用不同的截止波数才能计算出正确结果；而上下对进（双向）求解顺序的计算稳定性与计算精度均较高。     

Fragment spatial distribution of prismatic casing under internal explosive loading

Non-cylindrical casings filled with explosives have undergone rapid development in warhead design and explosion control. The fragment spatial distribution of prismatic casings is more complex than that of traditional cylindrical casings. In this study, numerical and experimental investigations into the fragment spatial distribution of a prismatic casing were conducted. A new numerical method, which adds the Lagrangian marker points to the Eulerian grid, was proposed to track the multi-material interfaces and material dynamic fractures. Physical quantity mappings between the Lagrangian marker points and Eulerian grid were achieved by their topological relationship. Thereafter, the fragment spatial distributions of the prismatic casing with different fragment sizes, fragment shapes, and casing geometries were obtained using the numerical method. Moreover, fragment spatial distribution experiments were conducted on the prismatic casing with different fragment sizes and shapes, and the experimental data were compared with the numerical results. The effects of the fragment and casing geometry on the fragment spatial distributions were determined by analyzing the numerical results and experimental data. Finally, a formula including the casing geometry parameters was fitted to predict the fragment spatial distribution of the prismatic casing under internal explosive loading.