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由于Mie-Grüneisen状态方程形式比较复杂,给界面的处理带来很大难度。本文通过对Euler方程做分离变量和引入质量分数,完成了Mie-Grüneisen状态方程下的多介质可压缩流动的数值模拟,使计算过程得到简化,并通过算例验证了该方法的可靠性。在多项式形式的Mie-Grüneisen状态方程下,利用该方法模拟了球形炸药在水中爆炸后,气体和水相互作用的近场情况。在计算模型中引入的气体质量分数,很好反映了流场中不同区域内气体、水及水气并存3种不同的状态。
Due to the complexity of the Mie-Grüneisen equation of state, it is very difficult to deal with the interface. In this paper, the numerical simulation of multi-media compressible flow under the Mie-Grüneisen equation of state is done by using the Euler equation as the separation variable and the mass fraction. The calculation process is simplified and the reliability of the method is verified by an example. In the polynomial Mie-Grüneisen equation of state, this method is used to simulate the near-field interaction of gas and water after the spherical explosives explode in water. The gas mass fraction introduced in the calculation model well reflects the coexistence of three different states of gas, water and vapor in different regions of the flow field.