This work presents two methods to improve the spatial accuracy of traditional control volume based finite element method for the mold filling simulation. The first method is based on the flow front mesh refinement which results in a better numerical accuracy near the flow front region without any need of remesh. The second method, flow front tracking, traces the exact location of the flow front. Together with local remesh, the spatial accuracy is improved. Application of both methods to the mold filling process in resin transfer molding (RTM) is presented.