Solutions of the incompressible Navier-Stokes equations using an upwind -differenced TVD scheme

  • Joseph J. Gorski
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 323)


The Navier-Stokes equations for incompressible fluid flows have been solved using the pseudo-compressibility concept. The equations are discretized using a third order accurate upwind differenced Total Variational Diminishing (TVD) scheme for the convection terms. The equations are solved implicitly and complex geometries are split into multiple blocks for which structured grids can be generated. This method of solving the Navier-Stokes equations has been implemented in the David Taylor Navier-Stokes (DTNS) series of computer codes. Solutions are provided for several cases including the two-dimensional flow over an airfoil, the axisymmetric flow in a cylindrical container with a rotating lid, and the three-dimensional flow around a circular cylinder mounted on a flat-plate. These results demonstrate the wide applicability of the DTNS computer codes.


Circular Cylinder AIAA Paper Horseshoe Vortex Vortex Breakdown Cylindrical Container 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Joseph J. Gorski
    • 1
  1. 1.David Taylor Research CenterBethesdaUSA

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