A finite element flux-corrected transport method for wave propagation in heterogeneous solids
type: Item
instance of: scholarly article
title: A finite element flux-corrected transport method for wave propagation in heterogeneous solids
zbMATH Open document ID: 1461.74086
author: Stefano Mariani
author: Roberto Martini
author: Aldo Ghisi
published in: Algorithms
publication date: 2018-08-20T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74J40
zbMATH DE Number: 6920417
zbMATH Keywords: flux-corrected transport algorithm
zbMATH Keywords: composite dynamics
zbMATH Keywords: shock waves
describes a project that uses: SHASTA
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a2010001
OpenAlex ID: W2068779667
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DOI: 10.3390/A2010001
description: scientific article; zbMATH DE number 6920417