时间上二次展开的时空动力学方法的实现

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为了在反应堆动力学方程求解中检验一种新的时空动力学方法——时间上二次展开的格林函数节块法(TQE/ NGFM) ,作者编写了应用这种方法的 FORTRAN程序。该程序采用了新的迭代求解方式 ,与标准的格林函数节块法的程序对轻水堆的典型算例进行了校算。标准的瞬态格林函数节块法 (TNGFM)在时间上采用全隐式近似。在求解二维 TWIGL问题时 ,在相近计算精度下 ,TQE/ NGFM的计算时间是 TNGFM的约 1/ 5。结果表明 ,时间上二次展开的时空动力学方法是一种有效的、先进的方法 In order to test a new spatio-temporal dynamics method - TQE / NGFM with quadratic expansion in time, the authors developed a FORTRAN program applying this method. The program uses a new iterative solution to calculate the typical case of a light water reactor with the standard Green’s function nodal procedure. The standard transient Green’s function nodal method (TNGFM) adopts a fully implicit approximation in time. When solving two-dimensional TWIGL problem, the calculation time of TQE / NGFM is about 1/5 of that of TNGFM under similar calculation accuracy. The results show that time spatiotemporal dynamics developed twice are an effective and advanced method
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