Abstract: To meet the need of industrial application of mould filling simulation, a fully vectorial and explicit algorithmwas proposed on the basis of current explicit algorithms. For the simulation of different mould filling processes, the global solution for pressure field can be avoided by this algorithm, and only the matrix operations at element level are performed. The incompressible condition can be maintained by a corrective feedback operation. All the global solutions can be eliminated in numeral operation, and then the computational cost is closely proportional to the degree of freedom level. As a result, the simulation of injection processes is efficient, and parallel calculation for a high performance systemwith multi-clusters is easy to realize. The comparison of numerical results obtained with this algorithm and 3D simulation using MINI elements proves the validity and efficiency of the proposed algorithm.