A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions

  • Authors:

  • Daniel F. Martin;Phillip Colella;Daniel Graves

  • Affiliations:

  • Lawrence Berkeley National Laboratory, Berkeley, CA, United States;Lawrence Berkeley National Laboratory, Berkeley, CA, United States;Lawrence Berkeley National Laboratory, Berkeley, CA, United States

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2008

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Abstract

We present a method for computing incompressible viscous flows in three dimensions using block-structured local refinement in both space and time. This method uses a projection formulation based on a cell-centered approximate projection, combined with the systematic use of multilevel elliptic solvers to compute increments in the solution generated at boundaries between refinement levels due to refinement in time. We use an L"0-stable second-order semi-implicit scheme to evaluate the viscous terms. Results are presented to demonstrate the accuracy and effectiveness of this approach.