Skip navigation

A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics

A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics

Taylor, G.A., Bailey, C. and Cross, M. (2002) A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics. International Journal for Numerical Methods in Engineering, 56 (4). pp. 507-529. ISSN 0029-5981 (Print), 1097-0207 (Online) (doi:10.1002/nme.574)

Full text not available from this repository.

Abstract

A vertex-based finite volume (FV) method is presented for the computational solution of quasi-static solid mechanics problems involving material non-linearity and infinitesimal strains. The problems are analysed numerically with fully unstructured meshes that consist of a variety of two- and threedimensional element types. A detailed comparison between the vertex-based FV and the standard Galerkin FE methods is provided with regard to discretization, solution accuracy and computational efficiency. For some problem classes a direct equivalence of the two methods is demonstrated, both theoretically and numerically. However, for other problems some interesting advantages and disadvantages of the FV formulation over the Galerkin FE method are highlighted.

Item Type: Article
Additional Information: [1] Manuscript accepted: 28 February 2002. [2] First published online: 22 November 2002. [3] Published in print: 28 January 2003.
Uncontrolled Keywords: finite volume, vertex-based, computational solid mechanics
Subjects: Q Science > QA Mathematics
Pre-2014 Departments: School of Computing & Mathematical Sciences
School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis
School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Mechanics & Reliability Group
School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group
School of Computing & Mathematical Sciences > Department of Computer Systems Technology
School of Computing & Mathematical Sciences > Department of Mathematical Sciences
Related URLs:
Last Modified: 14 Oct 2016 09:01
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/676

Actions (login required)

View Item View Item