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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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Lenguaje: | eng |
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1973
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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 |
record_format | invenio |
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 |