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Process splitting of the boundary conditions for the advection–dispersion equation
Author(s) -
Aiyesimoju Kolawole O.,
Sobey Rodney J.
Publication year - 1989
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650090208
Subject(s) - mathematics , boundary value problem , advection , inflow , dispersion (optics) , offset (computer science) , truncation (statistics) , convection–diffusion equation , mathematical analysis , computational fluid dynamics , mechanics , physics , computer science , statistics , optics , thermodynamics , programming language
Rational strategies are considered for the specification of the intermediate boundary condition at an inflow boundary where process splitting (fractional steps) is adopted in solving the advection–dispersion equation. Three lowest‐order methods are initially considered and evaluation is based on comparisons with an analytical solution. For flow and dispersion parameter ranges typical of rivers and estuaries, the given boundary condition for the complete advection–dispersion equation at the end of the complete time step provides a satisfactory estimate of the intermediate boundary value. This was further confirmed by the development and evaluation of two higher‐order methods. These required non‐centred discrete approximations for spatial derivatives, which offset any special advantages from the higher truncation error order.