In this paper we focus on two particular ocean-related problems, valuable progress in which is expected due to extended facilities of the modern computer architectures. The first one concerns real time tsunami risk mitigation by using the advantages of such computer architectures as are Graphic Processing Units (GPU) and Field Programmable Gates Arrays (FPGA). Among many important aspects of tsunami simulation we study the time consumable calculation of the wave propagation over a given water area. A comparison of performances achieved at a range of architectures is given. Secondly, we discuss the coastal profile evolution. As it has been found relatively recently, behavior-oriented diffusion models reasonably describe the time evolution of the cross-shore position of coastal profiles. Two time-independent coefficients in the governing equation, which embody the relevant physical properties, are identified simultaneously. Earlier, the authors have validated and calibrated numerically the proposed model, processing two sets of real data, the first one being measured over 10 years at Duck, in North Carolina (USA), the second one obtained over 39 years measurements at Delfland (Holland). Here, the model dependence on the alongshore position of the observation point is studied. The coefficients of the model equation are determined by means of a certain iteration process. As it was observed, the achieved convergence is now better than when several separate observations along the coast are involved.