• Title/Summary/Keyword: streamfunction formulation

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NUMERICAL SOLUTION OF A CONSTRICTED STEPPED CHANNEL PROBLEM USING A FOURTH ORDER METHOD

  • Mancera, Paulo F. de A.;Hunt, Roland
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.3 no.2
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    • pp.51-67
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    • 1999
  • The numerical solution of the Navier-Stokes equations in a constricted stepped channel problem has been obtained using a fourth order numerical method. Transformations are made to have a fine grid near the sharp corner and a long channel downstream. The derivatives in the Navier-Stokes equations are replaced by fourth order central differences which result a 29-point computational stencil. A procedure is used to avoid extra numerical boundary conditions near the solid walls. Results have been obtained for Reynolds numbers up to 1000.

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