https://scholars.lib.ntu.edu.tw/handle/123456789/614751| Title: | Finite analytic method for modeling variably saturated flows | Authors: | Zhang Z.; Wang W.; Gong C.; Yeh T.-C.J.; Wang Z.; Wang Y.-L.; Chen L. YU-LI WANG |
Keywords: | Oscillating flow; Solute transport; Algebraic representations; Finite analytic methods; Kirchhoff transformations; Numerical experiments; Numerical oscillation; Numerical solution; Richards 'equation; Variably saturated flow; Numerical methods; water; fluid flow; Kirchhoff equation; numerical model; phreatic zone; Richards equation; Article; chemical parameters; controlled study; dispersion; finite analytic method; mathematical analysis; mathematics; measurement accuracy; oscillation; priority journal; Richard equation; saturated flow; water flow; analytic method; article; field experiment | Issue Date: | 2018 | Publisher: | Elsevier B.V. | Journal Volume: | 621 | Start page/Pages: | 1151-1162 | Source: | Science of the Total Environment | Abstract: | This paper develops a finite analytic method (FAM) for solving the two-dimensional Richards’ equation. The FAM incorporates the analytic solution in local elements to formulate the algebraic representation of the partial differential equation of unsaturated flow so as to effectively control both numerical oscillation and dispersion. The FAM model is then verified using four examples, in which the numerical solutions are compared with analytical solutions, solutions from VSAFT2, and observational data from a field experiment. These numerical experiments show that the method is not only accurate but also efficient, when compared with other numerical methods. © 2017 Elsevier B.V. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85034612221&doi=10.1016%2fj.scitotenv.2017.10.112&partnerID=40&md5=897879f8dfdf5528a49aaa05ee43b0ff https://scholars.lib.ntu.edu.tw/handle/123456789/614751 |
ISSN: | 00489697 | Other Identifiers: | STEVA | DOI: | 10.1016/j.scitotenv.2017.10.112 |
| Appears in Collections: | 生物環境系統工程學系 |
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