CUED Publications database

A FEniCS-based programming framework for modeling turbulent flow by the Reynolds-averaged Navier-Stokes equations

Mortensen, M and Langtangen, HP and Wells, GN (2011) A FEniCS-based programming framework for modeling turbulent flow by the Reynolds-averaged Navier-Stokes equations. Advances in Water Resources, 34. pp. 1082-1101. ISSN 0309-1708

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Abstract

Finding an appropriate turbulence model for a given flow case usually calls for extensive experimentation with both models and numerical solution methods. This work presents the design and implementation of a flexible, programmable software framework for assisting with numerical experiments in computational turbulence. The framework targets Reynolds-averaged Navier-Stokes models, discretized by finite element methods. The novel implementation makes use of Python and the FEniCS package, the combination of which leads to compact and reusable code, where model- and solver-specific code resemble closely the mathematical formulation of equations and algorithms. The presented ideas and programming techniques are also applicable to other fields that involve systems of nonlinear partial differential equations. We demonstrate the framework in two applications and investigate the impact of various linearizations on the convergence properties of nonlinear solvers for a Reynolds-averaged Navier-Stokes model. © 2011 Elsevier Ltd.

Item Type: Article
Uncontrolled Keywords: Finite elements Object-oriented programming Problem solving environment Python RANS models Turbulent flow
Subjects: UNSPECIFIED
Divisions: Div C > Applied Mechanics
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:42
Last Modified: 08 Dec 2014 02:22
DOI: 10.1016/j.advwatres.2011.02.013