【作者】 曾实；

【Author】 ZENG Shi;Department of Engineering Physics,Tsinghua University;

【机构】 清华大学工程物理系；

【摘要】 针对描述气体离心机单机中过渡过程的丰度方程进行了数值求解。时间离散采用Grank-Nicolson格式,空间一阶导数的离散采用迎风差分格式,二阶导数采用中心差分格式。对离散所得到的每个时间步的非线性代数方程采用通常的Newton迭代法求解。以Igua?u离心机为例,对离心机充气到卸载的整个过渡过程的分离情况进行了模拟。所得结果与实际观察结果的规律一致,展示了对离心机过渡过程分离进行分析的可能性。对求解中出现的解的振荡等问题也进行了说明。更多还原

【Abstract】 The abundance equation describing the transient process in a single gas centrifuge is numerically solved.A Crank-Nicolson scheme is adopted for time discretization,an up-wind scheme and a central difference scheme are used,respectively,for the discretization of the first-order and second derivatives in space.The resulting nonlinear algebraic equations at each time step is solved by employing an ordinary Newton iteration method.Taking Iguacu centrifuge as an example, the separation during a transient process from the gas filling-up to the evacuation is simulated.The results are consistent with the laws from observation in practice, which demonstrates the possibility of analyzing transient processes in gas centrifuges.The problems such as oscillations in the solution were also discussed as well.更多还原