LIE DERIVATIVE DISCRETIZATION SCHEME FOR SOLVING VARIABLE MASS SYSTEMS
Xinyue Jia, Chang Liu and Wenan Jiang (DOI: 10.24874/jsscm.2024.18.02.02)
Abstract
Lie derivative plays a key role in mathematics and physics. In particular, the Lie derivative discretization scheme has been implemented for a relatively large time step in order to quickly solve the numerical solution of the system. In this paper, an algorithm of the Lie derivative discretization scheme is applied to variable mass systems. Four different types of variable mass systems are employed to study the numerical solutions, and the calculated results are consistent with those obtained by the fourth-order Runge-Kutta method. Computational experiments demonstrate the success of the proposed method on variable mass systems. Moreover, the algorithm of Lie derivative discretization is shown to have superior computational efficiency and larger time steps compared to the Runge-Kutta algorithm.
