In this paper, the aircraft fuel system is supplied by hydraulic drive instead of the existing electric fuel pump. The solution to the problem of crosslinking problem of fluid in pipe was proposed. The function relationship between pressure P and flow Q of the vortex pump at any position can be found by subroutine according to different engine states. There are a few advantages of the new fuel system. First of all, vortex pumps and injection pumps with only hundreds of grams are used to replace electric fuel pumps of about ten kilograms, which saves weight. It can be seen that the larger the aircraft, the more weight of the fuel system is reduced. Second, the electricity consumption of present fuel system accounts for more than 30% of the electricity consumption of the aircraft, while the new fuel system’s electricity consumption accounts for only about 4.5% of the whole aircraft, with much higher efficiency. During the process of solving a set of equations, the first step is to adjust the equations to make the main diagonal elements of a matrix dominant, and the second is to introduce relaxation factor wn, to help the convergence of the equations, and then let the number of error constant be as small as possible. This paper takes the fuel system of a fighter as model to analyze and study. The ground simulation test of the fuel system shows that the research is successful.