3D VELOCITY FIELDS WITH 2DH NUMERICAL STABILITY: A 3D ANALYTICAL-NUMERICAL MODULE FOR 2DH NUMERICAL MODELS

This research consists of the mathematical development a three-dimensional (3D) analytical-numerical module that can be installed on vertically-averaged (2DH) numerical models. Designed to combine advantages both 3D and 2DH hydrodynamic models, it simulates wide range coastal natural water bodies free surfaces irregular geometries. Examples include estuaries, rivers, bays, lakes, lagoons. Assuming parabolic profile turbulent viscosity predictor-corrector scheme applied variables, preliminary (predicted, analytical) logarithmic horizontal velocity is used for calculation an adjusted (corrected, analytical-numerical) realistic field (u,v,w). Through process continuous synergetic interdependence, model feed enhance one another at every time step simulation in cycle mutual contribution increases its accuracy. The following terms Navier-Stokes equations are considered full three-dimensionality: local acceleration, non-linear advective accelerations, Coriolis barotropic baroclinic pressure gradients, vertical shear stresses. All variables allowed vary space (x,y,t) all boundary conditions (dynamic kinematic, bottom surface) analytically satisfied.