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contributor authorSADOURNY, ROBERT
contributor authorMOREL, PIERRE
date accessioned2017-06-09T15:59:02Z
date available2017-06-09T15:59:02Z
date copyright1969/06/01
date issued1969
identifier issn0027-0644
identifier otherams-58093.pdf
identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4198502
description abstractThe hexagonal grid based on a partition of the icosahedron has distinct geometrical qualities for the mapping of a sphere and also presents some indexing difficulties. The applicability of this grid to the primitive equations of fluid dynamics is demonstrated, and a finite-difference approximation of these equations is proposed. The basic variables are the mass fluxes from one hexagonal cell to the next through their common boundary. This scheme conserves the total mass, the total momentum, and the total kinetic energy of the fluid as well as the total squared vorticity of a nondivergent flow. A computational test was performed using a hexagonal grid to describe space periodic waves on a nonrotating plane. The systematic variation of total kinetic and potential energy is less than 10?5 after 1,000 time steps.
publisherAmerican Meteorological Society
titleA FINITE-DIFFERENCE APPROXIMATION OF THE PRIMITIVE EQUATIONS FOR A HEXAGONAL GRID ON A PLANE
typeJournal Paper
journal volume97
journal issue6
journal titleMonthly Weather Review
identifier doi10.1175/1520-0493(1969)097<0439:AFAOTP>2.3.CO;2
journal fristpage439
journal lastpage445
treeMonthly Weather Review:;1969:;volume( 097 ):;issue: 006
contenttypeFulltext


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