A numerical algorithm for solving a coupled problem of the air-sea-wave interaction
The ``partly coupled'' algorithm and numerical schemes are developed to solve a coupled model of air-sea-wave interaction, using the matrix and simple pivotal-condensation methods. The ``partly coupled'' algorithm is used to handle boundary conditions at the air-sea interface to allow for solving systems of the atmospheric and oceanic equations, as two separate systems. In the numerical schemes, the buoyancy terms of dissipation and TKE budget equations are used as conditions for rearranging equation coefficient vectors to satisfy stability conditions. The model equations are written in the same form for both atmospheric and oceanic boundary layers, and include equations for momentum, the \(k-\varepsilon\) turbulence scheme, and stratification in the atmospheric and oceanic boundary layers. The numerical simulations show that surface wind-induced waves have strong effects on the basic physical characteristics of the air-sea system.
scientific article; zbMATH DE number 1135894