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作为一种新概念高超声速热防护手段,磁控热防护系统在实际应用中往往需要考虑霍尔效应的影响.为了在真实气体环境下求解霍尔电场,采用交替隐式近似因子分解法建立并验证了热化学非平衡流体域电场数值求解方法.分析了电场虚拟步进因子和收敛性的关系以及影响步进因子取值的因素,提出了当地变步进因子加速电场收敛方法.研究表明,存在一个最优的步进因子a_p使得霍尔电场收敛速度最快,并且随网格尺度的减小和霍尔系数的增加,最优步进因子a_p变大,电势场收敛速率变慢.对于局部加密网格而言,当地变步进因子法的电势收敛性明显优于常规的定步进因子法.
As a new concept of hypersonic thermal protection, the magnetron thermal protection system often needs to consider the effect of Hall effect in practical applications.In order to solve the Hall electric field under the real gas environment, the alternating implicit approximate factorization method is used to establish The numerical solution of the electric field in the thermo-chemical non-equilibrium fluid domain is validated.The relationship between the virtual step factor and the convergence of the electric field and the factors that influence the value of the step factor are analyzed and the local convergence method of step-change factor accelerating electric field is proposed. The existence of an optimal step factor a_p results in the fastest convergence of the Hall electric field, and as the grid scale decreases and the Hall coefficient increases, the optimal step factor a_p becomes larger and the convergence rate of the potential field becomes slower. In terms of local encrypted grid, the local convergence of the step-change factor method is obviously better than that of the conventional step-by-step factor method.