An efficient spectral-projection method for the Navier--Stokes equations in cylindrical geometries

  • Authors:

  • J. M. Lopez;F. Marques;Jie Shen

  • Affiliations:

  • Department of Mathematics, Arizona State University;Department de Fisica Aplicada, Universitat Politècnica de Catalunya, Spain;Department of Mathematics, University of Central Florida and Purdue University

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2002

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Abstract

An efficient and accurate numerical scheme is presented for the three-dimensional Navier-Stokes equations in primitive variables in a cylinder. The scheme is based on a spectral-Galerkin approximation for the space variables and a second-order projection scheme for time. The new spectral-projection scheme is implemented to simulate unsteady incompressible flows in a cylinder.