A block-coupled Finite Volume methodology for linear elasticity and unstructured meshes. (15th October 2016)

• Record Type: Journal Article
• Authors: Cardiff, P.; Tuković, Ž.; Jasak, H.; Ivanković, A.
• Is Part Of: Computers & structures. Volume 175(2016)
• Page Start: 100
• Page End: 122
• Publication Date: 2016-10-15
• Subjects: Cell-centred Finite Volume method -- Finite Area method -- Linear elasticity -- Block-coupled -- Solid mechanics -- OpenFOAM; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2016.07.004
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: A coupled extended-stencil cell-centred Finite Volume solution methodology is proposed. Face tangential gradients of displacement are implicitly calculated using a Finite Area method. Non-orthogonal corrections terms are treated in a fully implicit coupled manner. In cases examined, the method is faster than comparable Finite Element and Finite Volume methods. Abstract: The current article presents a fully coupled cell-centred Finite Volume solution methodology for linear elasticity and unstructured meshes. Details are given of the novel implicit discretisation and block coupled solution procedure, including use of a Finite Area method for face tangential gradient calculations and coupled treatment of non-orthogonal corrections. A number of 2-D and 3-D linear-elastic benchmark test cases are examined using hexahedral, tetrahedral and general polyhedral meshes; solution accuracy and efficiency are compared with that of a segregated procedure and a commercial Finite Element software, where the new method is shown to be faster in all cases.