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Keywords = diffusion flux
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18 pages, 2387 KB  
Article
A Finite Element Flux-Corrected Transport Method for Wave Propagation in Heterogeneous Solids
by Stefano Mariani, Roberto Martini and Aldo Ghisi
Algorithms 2009, 2(1), 1-18; https://doi.org/10.3390/a2010001 - 13 Jan 2009
Cited by 9 | Viewed by 9895
Abstract
When moving discontinuities in solids need to be simulated, standard finite element (FE) procedures usually attain low accuracy because of spurious oscillations appearing behind the discontinuity fronts. To assure an accurate tracking of traveling stress waves in heterogeneous media, we propose here a [...] Read more.
When moving discontinuities in solids need to be simulated, standard finite element (FE) procedures usually attain low accuracy because of spurious oscillations appearing behind the discontinuity fronts. To assure an accurate tracking of traveling stress waves in heterogeneous media, we propose here a flux-corrected transport (FCT) technique for structured as well as unstructured space discretizations. The FCT technique consists of post-processing the FE velocity field via diffusive/antidiffusive fluxes, which rely upon an algorithmic length-scale parameter. To study the behavior of heterogeneous bodies featuring compliant interphases of any shape, a general scheme for computing diffusive/antidiffusive fluxes close to phase boundaries is proposed too. The performance of the new FE-FCT method is assessed through one-dimensional and two-dimensional simulations of dilatational stress waves propagating along homogeneous and composite rods. Full article
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