Journal
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Volume 126, Issue -, Pages 1253-1266Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijheatmasstransfer.2018.06.075
Keywords
Peridynamics; Transient advection-diffusion; Upwind scheme; Central scheme; Heterogeneity
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Funding
- ONR project Stress Corrosion Cracking: the Importance of Damage Evolution in the Layer Affected by Corrosion
- AFOSR MURI Center for Materials Failure Prediction through Peridynamics
- Northwestern Polytechnic University in Xi'an, China
- Nebraska Research Initiative
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We introduce a transient advection-diffusion peridynamic model using a constructive approach. We verify our model against the classical model in 1D and 2D, and we find that in the limit of the peridynamic horizon going to zero the peridynamic solutions converge to the classical ones. We find that a hybrid between upwind and central models performs better in advection-dominated cases. We compute solutions to sample problems in heterogeneous domains for two different conditions and observe the contrast between the solutions depending on microstructure and material properties. Remarkably, no extra effort was required in producing solutions for the complex, heterogeneous cases. (C) 2018 Elsevier Ltd. All rights reserved.
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