中文摘要：

为研究三维无网格方法及其在超音速流场模拟中的应用,基于Batina发展的显式无网格算法,借鉴非结构网格方法下的耗散模型,给出了一种无网格法下求解三维Euler方程的具体实现形式,并对某标准弹丸在超音速下不同马赫数、不同攻角的绕流流场进行了数值模拟,分析了其在不同马赫数和不同攻角下的升、阻力系数,俯仰力矩系数以及压心等,与实验结果进行了比较,结果基本一致.计算结果很好地验证了文中的三维无网格法在超音速流场数值模拟中的准确性和实用性.

英文摘要：

To study 3D meshless method and its application in supersonic flow field simulation,based on meshless method proposed by Batina,the idiographic model was used to solve three-dimensional Euler equations.The supersonic flow field around projectile was numerically simulated under the conditions of different Mach numbers and different attack angles.Drag lift coefficient,pitch moment coefficient and pressure centre of projectile were analyzed correspondingly.The simulation results agree well with the experiment results.All these results demonstrate that the proposed meshless method can simulate the supersonic flow field problems accurately and practicably.