TY - JOUR
T1 - Finite analytic method for modeling variably saturated flows
AU - Zhang, Zaiyong
AU - Wang, Wenke
AU - Gong, Chengcheng
AU - Yeh, Tian chyi Jim
AU - Wang, Zhoufeng
AU - Wang, Yu Li
AU - Chen, Li
N1 - Funding Information:
This study was supported by the National Natural Science Foundation of China (Nos. 41230314 , U1603243 , 40872163 ). The analysis was also partially supported by the program for Changjiang Scholars and Innovative Research Team of the Chinese Ministry of Education ( IRT0811 ). The first author is grateful to the Fundamental Research Funds for the Central Universities (310829175006) and Chinese Scholarship Council (Project number: 201606560014) for providing an opportunity to be a Visiting Research Student at the University of Arizona, USA.
Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2018/4/15
Y1 - 2018/4/15
N2 - 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.
AB - 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.
KW - Finite analytic method
KW - Kirchhoff transformation
KW - Richards’ equation
KW - Variably saturated flow
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U2 - 10.1016/j.scitotenv.2017.10.112
DO - 10.1016/j.scitotenv.2017.10.112
M3 - Article
C2 - 29146077
AN - SCOPUS:85034612221
SN - 0048-9697
VL - 621
SP - 1151
EP - 1162
JO - Science of the Total Environment
JF - Science of the Total Environment
ER -