CAJ | 학술논문

爆炸冲击波在不同物理属性介质中的传播特性存在较大差别，使得其对数值模拟网格尺寸的依赖性也不尽相同。采用Euler算法建立了不同当量、不同网格尺寸下自由场空中和水下爆炸的全耦合数值模型，通过数值解与经验公式计算值对比，对空中和水下不同比例爆炸距离处爆炸冲击波数值模拟的网格尺寸效应及计算精度进行了对比研究。结果表明对于空中爆炸，比例爆炸距离较大处冲击波峰值超压的数值计算误差较小，而水下爆炸基本上与此相反；空中爆炸冲击波峰值的数值计算误差曲线以比例爆炸距离0.7 m/kg1/3为界，具有明显的“前陡后缓”特征，而水下爆炸的误差曲线整体上较为平缓。此外，文中提出可采用“炸药半径与网格尺寸之比”确定网格尺寸，通过具体算例证明了该方法对不同当量的空中爆炸和水下爆炸问题均具有较强的适用性。
폭작충격파재불동물리속성개질중적전파특성존재교대차별，사득기대수치모의망격척촌적의뢰성야불진상동。채용Euler산법건립료불동당량、불동망격척촌하자유장공중화수하폭작적전우합수치모형，통과수치해여경험공식계산치대비，대공중화수하불동비례폭작거리처폭작충격파수치모의적망격척촌효응급계산정도진행료대비연구。결과표명대우공중폭작，비례폭작거리교대처충격파봉치초압적수치계산오차교소，이수하폭작기본상여차상반；공중폭작충격파봉치적수치계산오차곡선이비례폭작거리0.7 m/kg1/3위계，구유명현적“전두후완”특정，이수하폭작적오차곡선정체상교위평완。차외，문중제출가채용“작약반경여망격척촌지비”학정망격척촌，통과구체산예증명료해방법대불동당량적공중폭작화수하폭작문제균구유교강적괄용성。
There exists significant contrast in wave propagation phenomena in medium of different physical properties,which results in a difference of its reliance on mesh size in numerical simulation. With the Eul?er method, fully coupled simulation models for free-field explosions in air and water of different charge weights by variable mesh size were established. Through the comparison of numerical results and empirical formula, the mesh size effect of shock wave peak pressure at different scaled distances were analyzed and compared. The results show that as for air blasting, the calculation error of shock wave peak overpressure decreases with the increasing of scaled distance, which is opposite in underwater explosion. The numerical calculation error curve of air blast shock wave peak overpressures has an obvious difference before and af?ter scaled distance 0.7 m/kg1/3,the curve is steep before and becomes very flat later,and the curve of un?derwater explosion is rather flat on the whole. In addition, the dimensionless parameter,“explosive radius and the mesh size ratio”was adopted as a criterion for determining mesh size in this paper. The results of examples have proved that the method is suitable for both air blast and underwater explosion.