化工过程动态分布参数模型的空间时间分步离散化实时仿真

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根据动态仿真的实时性要求,对化工过程动态分布参数模型,提出了空间时间分步离散化的处理方法,即先只对空间自变量作离散化处理,将动态分布参数模型中的偏微分方程化成以时间为自变量的初值条件常微分方程组,然后采用RungeKuta等方法求解。空间时间分步离散化差分格式与空间时间同时离散化的显式差分格式和CrankNicolson隐式差分格式相比较,该方法具有较高的准确性和较好的稳定性,并可适用于线性系统和非线性系统 According to the real-time requirement of dynamic simulation, the processing method of spatial time-step discretization is proposed for the dynamic parameter model of chemical process. That is to say, only the spatial independent variable is discretized first, and the partial differential equation Into the initial conditions for the time as independent variables ordinary differential equations, and then use Runge Kuta and other methods to solve. Compared with the CrankNicolson implicit difference scheme, the discretization scheme of space-time discretization scheme and space-time discretization scheme have higher accuracy and better stability, and can be applied to linear System and non-linear system
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