Transient Modeling of Flow in Unsaturated Soils Using a Novel Collocation Meshless Method
AbstractIn this paper, a novel meshless method for the transient modeling of subsurface flow in unsaturated soils was developed. A linearization process for the nonlinear Richards equation using the Gardner exponential model to analyze the transient flow in the unsaturated zone was adopted. For the transient modeling, we proposed a pioneering work using the collocation Trefftz method and utilized the coordinate system in Minkowski spacetime instead of that in the original Euclidean space. The initial value problem for transient modeling of subsurface flow in unsaturated soils can then be transformed into the inverse boundary value problem. A numerical solution obtained in the spacetime coordinate system was approximated by superpositioning Trefftz basis functions satisfying the governing equation for boundary collocation points on partial problem domain boundary in the spacetime coordinate system. As a result, the transient problems can be solved without using the traditional time-marching scheme. The validity of the proposed method is established for several test problems. Numerical results demonstrate that the proposed method is highly accurate and computationally efficient. The results also reveal that it has great numerical stability for the transient modeling of subsurface flow in unsaturated soils. View Full-Text
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Ku, C.-Y.; Liu, C.-Y.; Xiao, J.-E.; Yeih, W. Transient Modeling of Flow in Unsaturated Soils Using a Novel Collocation Meshless Method. Water 2017, 9, 954.
Ku C-Y, Liu C-Y, Xiao J-E, Yeih W. Transient Modeling of Flow in Unsaturated Soils Using a Novel Collocation Meshless Method. Water. 2017; 9(12):954.Chicago/Turabian Style
Ku, Cheng-Yu; Liu, Chih-Yu; Xiao, Jing-En; Yeih, Weichung. 2017. "Transient Modeling of Flow in Unsaturated Soils Using a Novel Collocation Meshless Method." Water 9, no. 12: 954.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.