A reduced gravity non-linear model is proposed to describe the hydrodynamic behaviour and thermodynamic of a coastal systems including areas with shallow depths. The model is approached using a finite difference formulation in a domain with open boundary conditions describing the behaviour of a surface layer on an inert substrate layer conserving in this way the low frequency dynamic. The Pisco and Paracas bays is the study area which is characterized by the presence of hydrodynamic convergences and divergences producing changes in the temperature field of the region. First, numerical experiments are developed for permanent cases considering representative winds distributions. Later, a non-permanent case is simulated and the time dependent model solutions are compared with spatial observations.

In this paper, a finite element model is presented to predict the hydrodynamics around hydrofoils. The proposed model solves the equations of conservation of mass and momentum, including advection, pressure and shear stress terms. To describe the influence of turbulence, the Prandtl- Kolmogorov model is considered. A transport equation is included in the formulation to simulate the evolution of water vapor fraction. Weakly reflective boundary conditions are imposed on open boundaries to avoid the intense reflections of the pressure waves that generate instability. Various numerical experiments are performed using the hydrodynamic profile NACA 0012. The non permanent model results reproduce the essential characteristics of the flows around the hidrofoils in various cases. The model is able to describe the mixture of liquid and vapor when the pressure is below the vapor pressure during cav...