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Newton-Krylov algorithm with a loosely coupled turbulence model for aerodynamic flows

Newton-Krylov algorithm with a loosely coupled turbulence model for aerodynamic flows
Newton-Krylov algorithm with a loosely coupled turbulence model for aerodynamic flows
A fast Newton–Krylov algorithm is presented that solves the turbulent Navier–Stokes equations on unstructured 2-D grids. The model of Spalart and Allmaras provides the turbulent viscosity and is loosely coupled to the mean-flow equations. It is often assumed that the turbulence model must be fully coupled to obtain the full benefit of an inexact Newton algorithm. We demonstrate that a loosely coupled algorithm is effective and has some advantages, such as reduced storage requirements and smoother transient oscillations. A transonic single-element case converges to 1 1012 in 90 s on recent commodity hardware, whereas the lift coefficient is converged to three figures in one quarter of that time.
0001-1452
980-987
Blanco, Max
0982c1ea-7595-4ff8-8ba6-76522ae88e53
Zingg, David W.
2d3068e5-c51b-4a28-96e6-064eb80b3099
Blanco, Max
0982c1ea-7595-4ff8-8ba6-76522ae88e53
Zingg, David W.
2d3068e5-c51b-4a28-96e6-064eb80b3099

Blanco, Max and Zingg, David W. (2007) Newton-Krylov algorithm with a loosely coupled turbulence model for aerodynamic flows. AIAA Journal, 45 (5), 980-987. (doi:10.2514/1.22972).

Record type: Article

Abstract

A fast Newton–Krylov algorithm is presented that solves the turbulent Navier–Stokes equations on unstructured 2-D grids. The model of Spalart and Allmaras provides the turbulent viscosity and is loosely coupled to the mean-flow equations. It is often assumed that the turbulence model must be fully coupled to obtain the full benefit of an inexact Newton algorithm. We demonstrate that a loosely coupled algorithm is effective and has some advantages, such as reduced storage requirements and smoother transient oscillations. A transonic single-element case converges to 1 1012 in 90 s on recent commodity hardware, whereas the lift coefficient is converged to three figures in one quarter of that time.

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More information

Published date: May 2007
Organisations: Aerodynamics & Flight Mechanics, Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 52607
URI: https://eprints.soton.ac.uk/id/eprint/52607
ISSN: 0001-1452
PURE UUID: 02a3a983-b8b2-4213-961b-76564d64779d

Catalogue record

Date deposited: 18 Jul 2008
Last modified: 13 Mar 2019 20:42

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