A Peridynamic Differential Operator-Based Model for Quantifying Spatial Non-Local Transport Behavior of Pollutants in Heterogeneous Media
Abstract
:1. Introduction
2. Model Development
2.1. A Brief Review of PDDO
2.2. PDDO-Based Model
2.3. Numerical Algorithm of the PDDO-Based Model
3. Results
3.1. Analytical Solution of PDDO Model
3.2. One-Dimensional Results of the PDDO-Based Model
3.3. Two-Dimensional Results of the PDDO-Based Model
3.4. Applications
4. Discussion
Diffusion Regime of the PDDO-Based Model
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Time (Days) | (m/day) | (m/day) | (m/day) | (m/day) | |||||
---|---|---|---|---|---|---|---|---|---|
27 | 60 | ||||||||
132 | 0.018 | 10 | 1.4 | 10 | 0.18 | 20 | 10 | 1 | 65 |
224 | 70 | ||||||||
328 | 80 |
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Li, T.; Gu, X.; Zhang, Q. A Peridynamic Differential Operator-Based Model for Quantifying Spatial Non-Local Transport Behavior of Pollutants in Heterogeneous Media. Water 2022, 14, 2455. https://doi.org/10.3390/w14162455
Li T, Gu X, Zhang Q. A Peridynamic Differential Operator-Based Model for Quantifying Spatial Non-Local Transport Behavior of Pollutants in Heterogeneous Media. Water. 2022; 14(16):2455. https://doi.org/10.3390/w14162455
Chicago/Turabian StyleLi, Tianyi, Xin Gu, and Qing Zhang. 2022. "A Peridynamic Differential Operator-Based Model for Quantifying Spatial Non-Local Transport Behavior of Pollutants in Heterogeneous Media" Water 14, no. 16: 2455. https://doi.org/10.3390/w14162455