Droll, P.; Schäfer, M. A pseudospectral multi-domain method for the incompressible Navier-Stokes equations. (English) Zbl 1001.76072 J. Sci. Comput. 17, No. 1-4, 365-374 (2002). Summary: We present a pseudospectral method for solution of incompressible flow problems based on an iterative solver involving implicit treatment of linearized convective terms. The method is designed for moderately complex geometries by means of a multi-domain approach. Key components are Chebyshev collocation discretization, a special pressure-correction scheme, and a restarted GMRES method with preconditioner derived from a fast direct solver. The performance of the method with respect to multi-domain functionality is investigated and compared to finite volume approaches. Cited in 2 Documents MSC: 76M22 Spectral methods applied to problems in fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:pseudospectral multi-domain method; incompressible Navier-Stokes equations; domain decomposition; linearized convective terms; Chebyshev collocation discretization; pressure-correction scheme; GMRES method; preconditioner; fast direct solver PDFBibTeX XMLCite \textit{P. Droll} and \textit{M. Schäfer}, J. Sci. Comput. 17, No. 1--4, 365--374 (2002; Zbl 1001.76072) Full Text: DOI