The article is devoted to a comparative analysis of existing analytical and numerical models for solving the problem of the interaction of an oscillating flow tube with a fluid flow flowing through it in Coriolis flow meters to assess the possibility of their application for practical purposes and to make adjustments to the operation of devices at their place of operation. The research methodology is based on analytical research methods, a systematic analysis of the physical processes occurring in the system under study, processing and analysis of publicly available models of the "flow tube -liquid" system, and their generalization in order to identify the influence of the assumptions made on the accuracy of mass flow measurement. It has been established that analytical models make it possible to reveal the effect of temperature, pressure, and flow pulsation on the accuracy of mass flow measurement in Coriolis flow meters, as well as to obtain simplified models of the described system without special software. The possibility of using analytical models is limited by the simple shape of the flow tube and a strictly limited area of applicability. The use of numerical models based on the theory of beams or shells and a 1D model of a liquid medium with weakly coupled algorithms for pairing subtasks does not allow us to study the effect of flow characteristics on the flow meter output signal. At the same time, numerical methods for modeling the "flow tube-liquid" system with a rigidly coupled interface algorithm make it possible to evaluate the design of the flow meter, namely, to determine the installation points of the sensors and the source of oscillations, to identify areas of turbulence, to calculate the waxing of the tube and its effect on the fluid flow rate. , calculate the amplitude and frequency of oscillations depending on the shape of the flow tube, etc. The possibility of using numerical 3D-models is limited by high computational and time costs.