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采用数值分析方法建立了较完善的液氦温区双级Ｇ－Ｍ低温制冷机整机的物理和数值模型，考虑了工作过程中的流动阻力、传热、回热器内空隙率存在造成的气流的周期性压缩和膨胀以及工质的实际气体性质，物性随温度的变化等多种实际因素，改进了数值模拟计算方法，提高了数值计算精度，节省计算时间。通过与现有样机的整机性能和动态参数实验测量结果的比较，验证了计算程序的可靠性。数值模型可给出Ｇ－Ｍ制冷机内部任一位置动态参数（如压力、温度、质量流量等）周期性变化规律以及在任一时刻整机内动态参数的分布状况，以及冷腔Ｐ－Ｖ图等。为了解Ｇ－Ｍ制冷机内部动态过程及探究其工作机理提供了有力的理论依据。
The numerical and analytical method was used to establish a perfect physical and numerical model of a two-stage G-M cryogenic refrigerator with liquid helium temperature zone. Considering the flow resistance, heat transfer and voids in the regenerator during the working process, The periodic compression and expansion of the airflow and the actual gas properties of the working fluid, the physical properties with temperature changes and other practical factors to improve the numerical simulation method to improve the numerical accuracy and save calculation time. The reliability of the calculation program is verified by comparison with the experimental results of machine performance and dynamic parameters of the existing prototypes. The numerical model can give the periodic variation of dynamic parameters (such as pressure, temperature, mass flow, etc.) at any position inside the G-M refrigerator as well as the distribution of the dynamic parameters in the whole machine at any time, Wait. In order to understand the G-M refrigerator internal dynamic process and explore its working mechanism provides a strong theoretical basis.