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The numerical solution of the vorticity transport equation

A method of approximating the two-dimensional vorticity transport equation in which the matrix associated with the difference equations is diagonally dominant and the truncation error is the same as that of the fully central-difference approximation, is discussed. An example from boundary layer theo...

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Autor principal: Dennis, S C R
Lenguaje:eng
Publicado: 1973
Materias:
Acceso en línea:http://cds.cern.ch/record/881820
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author Dennis, S C R
author_facet Dennis, S C R
author_sort Dennis, S C R
collection CERN
description A method of approximating the two-dimensional vorticity transport equation in which the matrix associated with the difference equations is diagonally dominant and the truncation error is the same as that of the fully central-difference approximation, is discussed. An example from boundary layer theory is given by calculating the viscous stagnation point flow at the nose of a cylinder. Some new solutions of the Navier-Stokes equations are obtained for symmetrical flow past a flat plate of finite length. (16 refs).
id cern-881820
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1973
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spelling cern-8818202019-09-30T06:29:59Zhttp://cds.cern.ch/record/881820engDennis, S C RThe numerical solution of the vorticity transport equationMathematical Physics and MathematicsA method of approximating the two-dimensional vorticity transport equation in which the matrix associated with the difference equations is diagonally dominant and the truncation error is the same as that of the fully central-difference approximation, is discussed. An example from boundary layer theory is given by calculating the viscous stagnation point flow at the nose of a cylinder. Some new solutions of the Navier-Stokes equations are obtained for symmetrical flow past a flat plate of finite length. (16 refs).oai:cds.cern.ch:8818201973
spellingShingle Mathematical Physics and Mathematics
Dennis, S C R
The numerical solution of the vorticity transport equation
title The numerical solution of the vorticity transport equation
title_full The numerical solution of the vorticity transport equation
title_fullStr The numerical solution of the vorticity transport equation
title_full_unstemmed The numerical solution of the vorticity transport equation
title_short The numerical solution of the vorticity transport equation
title_sort numerical solution of the vorticity transport equation
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/881820
work_keys_str_mv AT dennisscr thenumericalsolutionofthevorticitytransportequation
AT dennisscr numericalsolutionofthevorticitytransportequation