One very important problem of future high-power colliders, such as the muon collider, is to create an effective and reliable target system that is able to withstand a harsh environment and generate effective high-flux muon beams. Liquid metal jets (pulsed or continuous) are proposed as potential target candidates. Such a proposal poses two critical problems: penetration of a free liquid jet inside the required strong inhomogeneous magnetic field (20 T) and the fragmentation of liquid due to the intense sudden heating by the proton beam and the resultant magnetohydrodynamic instabilities. In this study, we analyzed the dynamic motion of a free liquid metal jet entering a strong inhomogeneous field by using a new two-dimensional numerical model implemented in the HEIGHTS package for arbitrary jet parameters.