Surrogate modeling for liquid-gas interface determination under microgravity

Abstract In recent years the advent of on-orbital refueling technology and the accompanying interest in liquid management in space have rekindled attention to the study of the liquid-gas interface determination. So far, a series of numerical methods, such as the Shooting method, are used to calculate the mathematical model of liquid-gas interface. However, these methods have some drawbacks in common, such as poor convergence, dependence on initial value and instability. As a result, long calculation time and sudden calculation interruption are inevitable. Although satisfactory results can be achieved, it requires human intervention. As an important intermediary of capillary flow and liquid management device design, liquid-gas interface calculations need to be done thousands of times. Therefore, the quickness and robustness of liquid-gas interface calculations are needed. Surrogate modeling method arising with the development of aerospace technology in recent years provides a new way to solve this problem. Combining with the characteristics of liquid-gas interface calculation, a double-layer radial basis function surrogate model is proposed to approximate the mathematical model of liquid-gas interface. This surrogate model is approximately equivalent to the mathematical model of liquid-gas interface but is much easier to solve. Compared with the Shooting method, the efficiency of the surrogate model is improved by 99.46%, and the success rate is increased to 100% from 35%.

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