The Dynamics of Finite-Difference Models of the Shallow-Water EquationsSource: Journal of the Atmospheric Sciences:;1975:;Volume( 032 ):;issue: 004::page 680Author:Sadourny, Robert
DOI: 10.1175/1520-0469(1975)032<0680:TDOFDM>2.0.CO;2Publisher: American Meteorological Society
Abstract: Two simple numerical models of the shallow-water equations identical in all respects but for their con-servation properties have been tested regarding their internal mixing processes. The experiments show that violation of enstrophy conservation results in a spurious accumulation of rotational energy in the smaller scales, reflected by an unrealistic increase of enstrophy, which ultimately produces a finite rate of energy dissipation in the zero viscosity limit, thus violating the well-known dynamics of two-dimensional flow. Further, the experiments show a tendency to equipartition of the kinetic energy of the divergent part of the flow in the inviscid limit, suggesting the possibility of a divergent energy cascade in the physical system, as well as a possible influence of the energy mixing on the process of adjustment toward balanced flow.
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contributor author | Sadourny, Robert | |
date accessioned | 2017-06-09T14:18:02Z | |
date available | 2017-06-09T14:18:02Z | |
date copyright | 1975/04/01 | |
date issued | 1975 | |
identifier issn | 0022-4928 | |
identifier other | ams-16780.pdf | |
identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4152601 | |
description abstract | Two simple numerical models of the shallow-water equations identical in all respects but for their con-servation properties have been tested regarding their internal mixing processes. The experiments show that violation of enstrophy conservation results in a spurious accumulation of rotational energy in the smaller scales, reflected by an unrealistic increase of enstrophy, which ultimately produces a finite rate of energy dissipation in the zero viscosity limit, thus violating the well-known dynamics of two-dimensional flow. Further, the experiments show a tendency to equipartition of the kinetic energy of the divergent part of the flow in the inviscid limit, suggesting the possibility of a divergent energy cascade in the physical system, as well as a possible influence of the energy mixing on the process of adjustment toward balanced flow. | |
publisher | American Meteorological Society | |
title | The Dynamics of Finite-Difference Models of the Shallow-Water Equations | |
type | Journal Paper | |
journal volume | 32 | |
journal issue | 4 | |
journal title | Journal of the Atmospheric Sciences | |
identifier doi | 10.1175/1520-0469(1975)032<0680:TDOFDM>2.0.CO;2 | |
journal fristpage | 680 | |
journal lastpage | 689 | |
tree | Journal of the Atmospheric Sciences:;1975:;Volume( 032 ):;issue: 004 | |
contenttype | Fulltext |