The solidification process and the associated phenomena during continuous casting significantly influence product quality. Depending on the steel composition, casting formats and parameters, the course of heat dissipation and the associated temperature profile change. Due to the complexity of the boundary conditions and the temperature-dependent material data, it is not possible to provide an analytical solution concerning the resulting temperature field. Quantitative statements are possible by the use of numerical solution methods. In the course of the present work, an off-line solidification software, which is divided into three areas (pre-processing, solver and post-processing), was implemented. The pre-processing module is dedicated to select, visualize, and generate geometric and thermal boundary conditions. In the second section, the input parameters represent the starting point for the solidification simulation. The geometrical boundary conditions (mould length, roller and spray cone position) correspond to those of the continuous casting plant CC7 of voestalpine Stahl Linz GmbH. The temperature-dependent material data could be taken from two software products m²MAT and IDS. The solver was developed using a two-dimensional finite volume method (FVM) coupled with the implicit method of altering directions (ADI) and the enthalpy method. In addition, a non-uniform grid was used alongside the uniform grid, which reduced the computation time and improved the computational accuracy. The results of the solver are processed in the post-processing module and allow a detailed investigation of the temperature distribution, shell growth and heat transfer coefficients along the entire primary and secondary cooling zone. The simulation results of a low carbon steel grade with the corresponding geometric process parameters as defined for casting at CC7 were used for the evaluation. A comparison was undertaken for the primary cooling zone with the solidification software calcoSoft-2D®. Existing dragged thermocouple measurements could verify the correctness of the calculation results for the secondary cooling zone. Due to the significant acceleration of the calculation times, the present work represents a cornerstone for developing on-line capable solidification software.