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A mixed numerical analytical method for groundwater flow simulation
Author(s) -
Ramm Dov,
Chazan Dan
Publication year - 1980
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/wr016i005p00871
Subject(s) - gravitational singularity , singularity , groundwater flow , representation (politics) , flow (mathematics) , finite difference , grid , finite element method , mathematics , function (biology) , finite difference method , field (mathematics) , trace (psycholinguistics) , groundwater , computer science , mathematical analysis , geometry , aquifer , geology , geotechnical engineering , engineering , structural engineering , evolutionary biology , politics , political science , law , pure mathematics , biology , linguistics , philosophy
When finite difference or finite element schemes are used to solve the equations of ground water flow, it is not possible to obtain an accurate representation of the flow field near singularities without a considerable refinement of the grid. This difficulty is readily overcome by the use of a mixed numerical analytic scheme which is proposed in this work. Functions which accurately represent the effect of the singularity near its center but die off away from it are subtracted from the solution. The difference is a smooth function which is adequately represented by existing schemes. In addition to wells which are discussed here, springs and extended singularities can also be handled. The scheme is mainly of interest when it is of importance to trace the flow of pollutants in an area where many singularities may be present.