Numerical simulations of spontaneous capillary rises with very low capillary numbers using a front-tracking method combined with generalized Navier boundary condition

► A Novel wetting simulator based on the front-tracking method was developed. ► Natural moving contact lines could be represented by the GNBC. ► The non-dimensional slip parameter represents the dynamic property of wetting. ► The numerical results agree well with the experimental data at low capillary numbers.