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Universal Meshes for the Simulation of Brittle Fracture and Moving Boundary Problems | | Maurizio M. Chiaramonte
; Evan S. Gawlik
; Hardik Kabaria
; Adrian J. Lew
; | | Date: |
18 Oct 2015 | | Abstract: | Universal meshes have recently appeared in the literature as a compu-
tationally efficient and robust paradigm for the generation of conforming
simpli- cial meshes for domains with evolving boundaries. The main idea behind
a univer- sal mesh is to immerse the moving boundary in a background mesh (the
universal mesh), and to produce a mesh that conforms to the moving boundary at
any given time by adjusting a few of elements of the background mesh. In this
manuscript we present the application of universal meshes to the simulation of
brittle fracturing. To this extent, we provide a high level description of a
crack propagation algorithm and showcase its capabilities. Alongside universal
meshes for the simulation of brit- tle fracture, we provide other examples for
which universal meshes prove to be a powerful tool, namely fluid flow past
moving obstacles. Lastly, we conclude the manuscript with some remarks on the
current state of universal meshes and future directions. | | Source: | arXiv, 1510.5181 | | Services: | Forum | Review | PDF | Favorites | |
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