The project focuses on developing a simulator in which ships and waves interact. The new wave model is the Variational Boussinesq model (VBM). However, this new realistic model brings much more computation effort with it. The VBM mainly requires an unsteady state solver, that solves a coupled system of equations at each frame (20 fps) . The model is currently limited by the time-step constraints, which makes it difficult to simulate large and non-uniform domains in real-time. The focus of the current Master’s thesis is to develop a fast and robust solver with good stability properties.