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A variational inequality method applied to free surface seepage from a triangular ditch
Author(s) -
Bruch John C.,
Sloss James M.
Publication year - 1978
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr014i001p00119
Subject(s) - ditch , mathematics , surface (topology) , projection (relational algebra) , variational inequality , free surface , series (stratigraphy) , flow (mathematics) , numerical analysis , function (biology) , stream function , projection method , mathematical analysis , mathematical optimization , geotechnical engineering , geometry , geology , mechanics , dykstra's projection algorithm , algorithm , physics , ecology , paleontology , evolutionary biology , biology , vorticity , vortex
Two‐dimensional seepage from a single triangular channel into permeable soil underlain at a finite depth by a drain has been solved by reducing the problem to a variational inequality. The results obtained consist of the location of the free surface and thus the shape of the seepage region, the velocity potential and stream function at a series of mesh points, and the seepage flow rate. The successive overrelaxation method with projection was used to solve the numerical problem. The numerical results compared very favorably with the analytical solution to the same problem.