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

  • Mancera, Paulo F. de A. (Departamento de Bioestatistica Instituto de Biociencias-UNESP) ;
  • Hunt, Roland (Department of Mathematics University of Strathclyde)
  • Published : 1999.12.31

Abstract

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.