A numerical algorithm for solving a coupled problem of the air-sea-wave interaction
type: Item
instance of: scholarly article
title: A numerical algorithm for solving a coupled problem of the air-sea-wave interaction
zbMATH Open document ID: 0904.76051
DOI: 10.1016/0895-7177(96)00123-9
published in: Mathematical and Computer Modelling
publication date: 1998-04-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76F10
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 1135894
zbMATH Keywords: partly coupled algorithm
zbMATH Keywords: \(k\)-epsilon turbulence model
zbMATH Keywords: pivotal-condensation methods
zbMATH Keywords: buoyancy terms
zbMATH Keywords: surface wind-induced waves
author: Le Ngoc Ly
MaRDI profile type: Publication
full work available at URL: 0895-7177(96)00123-9
OpenAlex ID: W2012912141
cites work: An application of the pivotal-condensation method to modeling the air-sea boundary-layer structure
cites work: A numerical coupled model for studying air–sea–wave interaction
cites work: Q4721569
description: scientific article; zbMATH DE number 1135894