基于WENO格式的爆震波传播过程一维数值模拟

用时间算子分裂法来分离普通流体流动和化学反应方程,采用有限体积加权基本无振荡格式构建了带有复杂状态方程的欧拉方程组;提出一种新的熵修正方法EF4,并结合Roe平均格式来解决激波的不稳定问题和间断问题。通过对带有详细化学反应的爆震波传播过程进行了一维数值模拟,获得的爆震波稳定压力以及爆震波传播速度都和理论结果一致,结果表明,WENO有限体积格式可以很好地模拟爆震波传播过程。

One Dimensional Numerical Study of Detonation Wave with WENO Scheme

Using time operator splitting technique and weighted essentially non-oscillatory(WENO) schemes to simulate detonation with detailed chemical reaction,a time operator splitting technique is employed to decouple hydra-dynamic transport and chemical reaction,and finite volume WENO scheme is constructed for the homogeneous Euler equations with complex equation of state.And a new entropy correction method EF4 is proposed to solve the problem of the shock instability in combination with Rose scheme.The obtained front pressure and velocity of detonation waves are in good agreement with the theoretic results,the results show that the WENO finite volume scheme can be used to simulate the transmitting process of the detonation wave perfectly.