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A semianalytical method of path line computation for transient finite‐difference groundwater flow models
Author(s) -
Lu Ning
Publication year - 1994
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 - 10.1029/94wr01219
Subject(s) - transient (computer programming) , interpolation (computer graphics) , finite difference , computation , tracking (education) , particle (ecology) , finite difference method , trajectory , mathematics , line (geometry) , flow (mathematics) , mechanics , mathematical analysis , computer science , physics , algorithm , geometry , classical mechanics , geology , motion (physics) , psychology , pedagogy , oceanography , astronomy , operating system
This paper presents a new method of semianalytical particle tracking analysis under transient conditions. To permit accurate particle tracking in transient flows, the particle velocity is interpolated linearly in both space and time coordinates within each finite difference cell and time step. By using the total derivative and this interpolation scheme, the particle velocity is derived and integrated analytically to obtain the particle's trajectory within each cell and time step. Errors are much smaller than in numerical integration schemes. Numerical experiments show that the transient semianalytical solutions are efficient and accurate.