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

Authors:
P. Droll;M. Schäfer
Affiliations:
Department of Numerical Methods in Mechanical Engineering, Darmstadt University of Technology, Petersenstr. 30, D-64287 Darmstadt, Germany;Department of Numerical Methods in Mechanical Engineering, Darmstadt University of Technology, Petersenstr. 30, D-64287 Darmstadt, Germany. schaefer@fnb.tu-darmstadt.de
Venue:
Journal of Scientific Computing
Year:
2002

Citing 3
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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.