Highlights • Two different approaches, 2-D OpenFOAM and Lagrangian wave-current simulations, are used to model focussed wave groups and sheared currents simultaneously in a controlled manner, and produce input conditions for 3-D OpenFOAM models to investigate wavecurrent-structure interactions. • Good agreement between numerical results and experimental data is obtained, indicating that both approaches are capable of replicating experimental wave-current flows, and accurately modelling interactions between surface piercing cylinders and focussing waves on sheared currents. • The performance of both approaches is evaluated in terms of accuracy and computational effort required. • It is found that the method of coupling 3-D CFD and Lagrangian models is computational slightly cheaper and slightly more accurate because of the use of a smaller computationally domain and the iterative wave-current generation in the faster Lagrangian model.