A finite volume procedure for fluid flow, heat transfer and solid-body stress analysis

Abstract

A unified cell-centered unstructured mesh finite volume procedure is presented for fluid flow, heat transfer and solid-body stress analysis. An in-house procedure (A. W. Date, Solution of Transport Equations on Unstructured Meshes with Cell-Centered Colocated Variables.

Thirty years of the finite volume method for solid mechanics

“…A number of prior developments within CFD provided the foundation for the seminal paper on the cell-centred finite volume method for solid mechanics by Demirdžić et al [2]. In the past three decades, the finite volume method for solid mechanics has developed in a number of directions, differing in terms of discretisation, solution methodology and overall philosophy, including: (a) implicit cell-centred methods, based on the original work of Demirdžić et al [132][133][134][135][136][137][138][139][140][141][142][143][144][145]; (b) staggered-grid methods ; (c) vertex-centred methods ; (d) methods for periodic heterogenous microstructures ; (e) Godunov-type approaches ; (f) matrix-free approaches [247,249,252,260,263,[376][377][378][379][380][381][382][383][384][385][386][387][388][389][390][391][392][393][394][395]; (h) meshless approaches ; as well as several others.…”