Waves propagation in two-layer system over a non-rational submerged hump

Multiple layered ocean system is a field that is crucial to understand. It exist with the existing of the difference in sea temperature and salinity that will form a density layer in the ocean. This phenomena is crucial to understand and very significance especially to offshore company such as oil related industry and logistics for avoiding casualties at the workplace. Thus, in this paper, the different density of the ocean is focused by simplified the multilayer ocean into two-layer model with the existing of a submerged hump on the seabed. By using the two-layer shallow water waves equation, this problem is solved analytically. For the verification process, the new solution is compared with the existing solution, and the two model is hardly distinguishable Then, the effect of the density and hump profiles to the wave propagation and wave refraction and diffraction are analyzed. The hump and the density profiles have a very significance effect to the relative wave amplitude and wave refraction. The bigger α resulting in the higher relative amplitude and the denser fluid give the weaker relative wave amplitude because of the stronger restoring force.