The power-law model has been popularly used to predict hemolysis numerically, but it has a few limitations. There are many other hemolysis models as an alternative, and the viscoelastic model was suggested to address the issues. The viscoelastic model is a strain-based model that is derived from the mechanical properties of the red blood cell. The model assumes that two different time scales, compared to the power-law model that has a single time scale, govern the hemolysis. An issue of the viscoelastic model is that it is not applicable to a practical problem, because of its zero-dimensional form. This study aims to extend the viscoelastic model for realistic three-dimensional problems and evaluate the accuracy of predicting hemolysis. To this end, an Eulerian approach is applied to the viscoelastic model for the extension. Then, a few hemodynamic flow problems are used to evaluate the power-law and viscoelastic models with their experimental data.