engleski

A block-coupled Finite Volume methodology for linear elasticity and unstructured meshes

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. 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.

Block-coupled, Cell-centred Finite Volume method, Finite Area method, Linear elasticity, OpenFOAM, Solid mechanics

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