【摘要】 针对温度场实时仿真中,当节点数目众多,节点温度精度要求较高时求解速度缓慢的问题,本文在传统有限差分离散方程组的基础上,采用局部代数消元策略,导出了二维坐标下无步长条件Δx=Δy限制的13点差分改进算法。铜闪速炉反应塔炉壁温度场仿真实例表明,与传统5点差分算法相比,该算法具有收敛速度快、迭代次数少、求解速度显著提高的特点,为实时仿真系统中的温度场求解提供了一种新的快速求解算法。更多还原

【Abstract】 In allusion to slow convergence rate when nodes are excessive and required precision is high in the real time simulation system of temperature field,local algebra elimination method is adopted and a thirteen-point difference improved algorithm is further deduced based on the traditional finite differential discretization equation set,and the method is not limited by the pace condition(Δx=Δy)in two-dimension coordinates.The results of the wall temperature field simulation show that the algorithm has the characteristics of fast convergence rate and a few iterative times in comparison with the traditional five-point difference algorithm in the copper flash furnace.The improved algorithm could provide a new prompt solution method for temperature field in real time simulation system.更多还原