A semi-implicit semispectral primitive equation model for lake circulation dynamics and its stability performance
type: Item
instance of: scholarly article
title: A semi-implicit semispectral primitive equation model for lake circulation dynamics and its stability performance
zbMATH Open document ID: 0905.76063
author: Yongqi Wang
author: Kolumban Hutter
published in: Journal of Computational Physics
publication date: 1999-02-09T00:00:00Z
review text: We present a three-dimensional numerical model for the shallow water equations, suitable for determining the wind driven currents in homogeneous and stratified lakes. The model is based on the semispectral primitive equation model. A semi-implicit temporal integration scheme is proposed with the aid of which time integrations through realistic time spans for inland lakes become economical. By means of a large number of test runs in which the time step, the mesh size, and the austausch coefficients are changed, the numerical stability and the convergence of the code are determined.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 1140528
zbMATH Keywords: stratified rectangle
zbMATH Keywords: Lake Constance
zbMATH Keywords: semi-implicit temporal integration scheme
zbMATH Keywords: numerical stability
zbMATH Keywords: convergence
describes a project that uses: MUDPACK
describes a project that uses: MUDPACK-2
MaRDI profile type: Publication
full work available at URL: jcph.1997.5850
OpenAlex ID: W1964930272
cites work: Recent enhancements in MUDPACK, a multigrid software package for elliptic partial differential equations
cites work: An ocean modelling system with turbulent boundary layers and topography: numerical description
cites work: A semi-spectral primitive equation ocean circulation model using vertical sigma and orthogonal curvilinear horizontal coordinates
cites work: Q3140753
cites work: A staggered spectral element model with application to the oceanic shallow water equations
cites work: Q3666479
cites work: A semi-implicit ocean circulation model using a generalized topography-following coordinate system
cites work: An application of the capacitance matrix method to accommodate masked land areas and island circulations in a primitive equation ocean model
DOI: 10.1006/JCPH.1997.5850
description: scientific article; zbMATH DE number 1140528