Application of the adaptive analog-SSOR iterative method for numerical realization of two–dimensional mathematical model of movement of the aqueous medium
Abstract
Application of the adaptive analog-SSOR iterative method for numerical realization of two–dimensional mathematical model of movement of the aqueous medium
A modified analog-SSOR of variation type is used for numerical realization of two-dimensional discrete mathematical model of the aquatic environment, which is based on a three-dimensional hydrostatic model. Governing equations of the given model are equations for incompressible fluid, hydrostatic equation and Navier-Stokes equation. Developed model is used to predict the processes of sedimentation and the impact of negative factors affecting the condition of coastal and offshore structures. An algorithm for the minimal residuals modified analog-SSOR method for solving the difference equations is presented in the paper. The results of numerical experiments are presented.
Keywords: Iterative methods, hydrodynamics, discrete model, grid education, Navier-Stokes equation.