TY - JOUR
T1 - Boundary integral solutions to three‐dimensional unconfined Darcy's Flow
AU - Lennon, Gerard P.
AU - Liu, Philip L.‐F
AU - Liggett, James A.
PY - 1980/8
Y1 - 1980/8
N2 - The boundary integral equation method (BIEM) is used to solve three‐dimensional potential flow problems in porous media. The problems considered here are time dependent and have a nonlinear boundary condition on the free surface. The entire boundary, including the moving free surface, discretized into linear finite elements for the purpose of evaluating the boundary integrals. The technique allows transient, three‐dimensional problems to be solved with reasonable computational costs. Numerical examples include recharge through rectangular and circular areas and seepage flow from a surface pond. The examples are used to illustrate the method and show the nonlinear effects.
AB - The boundary integral equation method (BIEM) is used to solve three‐dimensional potential flow problems in porous media. The problems considered here are time dependent and have a nonlinear boundary condition on the free surface. The entire boundary, including the moving free surface, discretized into linear finite elements for the purpose of evaluating the boundary integrals. The technique allows transient, three‐dimensional problems to be solved with reasonable computational costs. Numerical examples include recharge through rectangular and circular areas and seepage flow from a surface pond. The examples are used to illustrate the method and show the nonlinear effects.
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U2 - 10.1029/WR016i004p00651
DO - 10.1029/WR016i004p00651
M3 - Article
AN - SCOPUS:0019050609
SN - 0043-1397
VL - 16
SP - 651
EP - 658
JO - Water Resources Research
JF - Water Resources Research
IS - 4
ER -