基于Mie-Grüneisen状态方程的水下爆炸数值模拟

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.

The numerical simulation of underwater explosion based on Mie-Grüneisen equation of state

Due to the complicated form of Mie-Grüneisen equation of state, it is difficult to handle the interface well. We separate several variables from the Euler equation and introduce mass fractions, manage to achieve the numerical simula-tion of multi-medium compressible flows under Mie-Grüneisen equation of state, while the process of calculation is simpli-fied here. The approach was verified well in our case. Then under the polynomial equation of state, which is a general form of Mie-Grüneisen equation of state, we used this approach to simulate the underwater explosion of a sphere bomb, and ob-tained the near-field character of gas-water interaction. By introducing the mass fraction, the three states of different region, which include gas, water and gas-water mixture, are revealed clearly.