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Solutions of the Boussinesq equation subject to a nonlinear Robin boundary condition
Author(s) -
Moutsopoulos Konstantinos N.
Publication year - 2013
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 - 10.1029/2012wr012221
Subject(s) - mathematics , nonlinear system , robin boundary condition , boundary (topology) , boundary value problem , boussinesq approximation (buoyancy) , mathematical analysis , subject (documents) , calculus (dental) , computer science , mixed boundary condition , mechanics , physics , heat transfer , medicine , dentistry , quantum mechanics , library science , natural convection , rayleigh number
Key Points The non‐linear Boussinesq equation is solved subject to a third kind BC An adequate non‐linear form of the Robin BC is used The accuracy of the semi‐analytical solution is checked using numerical results