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A Pseudospectral Multi-Domain Method for the Incompressible Navier–Stokes Equations

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Abstract

A pseudospectral method for the solution of incompressible flow problems based on an iterative solver involving an implicit treatment of linearized convective terms is presented. The method is designed for moderately complex geometries by means of a multi-domain approach. Key components are a Chebyshev collocation discretization, a special pressure-correction scheme and a restarted GMRES method with a preconditioner derived from a fast direct solver. The performance of the method with respect to the multi-domain functionality is investigated and compared to finite-volume approaches.

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Authors and Affiliations

  1. Department of Numerical Methods in Mechanical Engineering, Darmstadt University of Technology, Petersenstr. 30, D-64287, Darmstadt, Germany

    P. Droll & M. Schäfer

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  1. P. Droll
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  2. M. Schäfer
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Droll, P., Schäfer, M. A Pseudospectral Multi-Domain Method for the Incompressible Navier–Stokes Equations. Journal of Scientific Computing 17, 365–374 (2002). https://doi.org/10.1023/A:1015133521791

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