A Spacetime Meshless Method for Modeling Subsurface Flow with a Transient Moving Boundary
Abstract
:1. Introduction
2. The Governing Equation
3. The Spacetime Meshless Method Using Trefftz Functions
3.1. Trefftz Functions for Transient Moving Boundary Problems
3.2. The Spacetime Collocation Scheme
3.3. The Iterative Scheme for Modeling Transient Moving Boundary
4. Numerical Examples
4.1. Numerical Example 1
4.2. Numerical Example 2
4.3. Numerical Example 3
4.4. Numerical Example 4
5. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Appendix A
1 | |||
Appendix B
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Ku, C.-Y.; Liu, C.-Y.; Xiao, J.-E.; Yeih, W.; Fan, C.-M. A Spacetime Meshless Method for Modeling Subsurface Flow with a Transient Moving Boundary. Water 2019, 11, 2595. https://doi.org/10.3390/w11122595
Ku C-Y, Liu C-Y, Xiao J-E, Yeih W, Fan C-M. A Spacetime Meshless Method for Modeling Subsurface Flow with a Transient Moving Boundary. Water. 2019; 11(12):2595. https://doi.org/10.3390/w11122595
Chicago/Turabian StyleKu, Cheng-Yu, Chih-Yu Liu, Jing-En Xiao, Weichung Yeih, and Chia-Ming Fan. 2019. "A Spacetime Meshless Method for Modeling Subsurface Flow with a Transient Moving Boundary" Water 11, no. 12: 2595. https://doi.org/10.3390/w11122595