We present a mathematical model for large-strain consolidation in a bench-scale centrifuge, which is not based on scaling laws. The model allows for different boundary condition setups at the base of the sample: free outflow, imposed head or containment. Constitutive relationships for effective stress and permeability both in terms of void ratio are required inputs. A numerical algorithm is proposed to solve the constructed mathematical model based on the method of lines. Example numerical problems are discussed, and solution strategies are proposed to deal with anomalies in the numerical solution. A limited experimental test was performed to test the feasibility of the approach. The outcome of the test was positive for preconsolidated grounds. For a slurry, vibration effects appear to be present in the used centrifuge, which are not included in the model.