Multi-domain finite element - Spectral Chebyshev parallel Navier-Stokes solver for viscous flow problems

Borchers W, Kräutle S, Pasquetti R, Peyret R, Rautmann R (2003)

Publication Status: Published

Publication Type: Book chapter / Article in edited volumes

Publication year: 2003

Journal

Notes on Numerical Fluid Mechanics Vieweg

Publisher: Vieweg

Edited Volumes: Numerical Flow Simulation III

Series: Notes on Numerical Fluid Mechanics

City/Town: Berlin Heidelberg

Book Volume: 82

Pages Range: 3-17

ISBN: 978-3-540-44130-4

DOI: 10.1007/978-3-540-45693-3_1

Abstract

The paper is concerned with a hybrid finite element - spectral Chebyshev parallel solver of the incompressible Navier-Stokes equations. A domain decomposition, well adapted to the computation of wake or jet type flow, is assumed. Subdomains with complex geometry are handled with finite elements and the other ones with the highly accurate spectral method. The iterative resolution of the multi-domain problem is carried out with the "Conjugate Gradient Boundary Iteration" method. Here we focus on its optimal preconditioning when Gauss-Lobatto type grids axe involved. The resulting algorithm is then applied to the flow past a cylinder and over a backward facing step at higher Reynolds numbers. For the latter case the numerical results display some transitional laminar-turbulent behaviour of the flow arising from unstable steady states. Numerical results are presented for both convective and absolute instability regions.

Authors with CRIS profile

Wolfgang Borchers Professur für Angewandte Mathematik Serge Kräutle Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

University of Nice Sophia Antipolis / Université Nice Sophia Antipolis FR France (FR) Universität Paderborn DE Germany (DE)

How to cite

APA:

Borchers, W., Kräutle, S., Pasquetti, R., Peyret, R., & Rautmann, R. (2003). Multi-domain finite element - Spectral Chebyshev parallel Navier-Stokes solver for viscous flow problems. In Ernst Heinrich Hirschel (Eds.), Numerical Flow Simulation III. (pp. 3-17). Berlin Heidelberg: Vieweg.

MLA:

Borchers, Wolfgang, et al. "Multi-domain finite element - Spectral Chebyshev parallel Navier-Stokes solver for viscous flow problems." Numerical Flow Simulation III. Ed. Ernst Heinrich Hirschel, Berlin Heidelberg: Vieweg, 2003. 3-17.

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