# Numerical simulation of incompressible flow problems using an unstructured staggered mesh method

Shala, Mehmet, Pericleous, Koulis A. and Patel, Mayur
(2007)
*Numerical simulation of incompressible flow problems using an unstructured staggered mesh method.*
Journal of Algorithms and Computational Technology, 1 (3).
pp. 273-302.
ISSN 1748-3018
(doi:10.1260/174830107782424066)

## Abstract

A number of two dimensional staggered unstructured discretisation schemes for the solution of fluid flow and heat transfer problems have been developed. All schemes store and solve velocity vector components at cell faces with scalar variables solved at cell centres. The velocity is resolved into face-normal and face-parallel components and the various schemes investigated differ in the treatment of the parallel component. Steady-state and time-dependent fluid flow and thermal energy equations are solved with the well known pressure correction scheme, SIMPLE, employed to couple continuity and momentum. The numerical methods developed are tested on well known benchmark cases: the Lid-Driven Cavity, Natural Convection in a Cavity and Melting of Gallium in a rectangular domain. The results obtained are shown to be comparable to benchmark, but with accuracy dependent on scheme selection.

Item Type: | Article |
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Uncontrolled Keywords: | momentum, energy, unstructured mesh, staggered methods |

Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Pre-2014 Departments: | School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Mechanics & Reliability Group School of Computing & Mathematical Sciences > Department of Computer Systems Technology School of Computing & Mathematical Sciences > Department of Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Fire Safety Engineering Group School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group |

Related URLs: | |

Last Modified: | 14 Oct 2016 09:03 |

URI: | http://gala.gre.ac.uk/id/eprint/1112 |

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