Abstract As a classic problem in oceanographic and coastal engineering hydrodynamics, solitary wave propagation is used to benchmark novel high-fidelity numerical model based on the Navier–Stokes equations. The combines Finite Volume method Merged Stencil with 3rd-order reconstruction (FVMS3) Tangent of Hyperbola for INterface Capturing Quadratic surface representation Gaussian Quadrature (THIN...