Process splitting of the boundary conditions for the advection–dispersion equation
作者:
Kolawole O. Aiyesimoju,
Rodney J. Sobey,
期刊:
International Journal for Numerical Methods in Fluids
(WILEY Available online 1989)
卷期:
Volume 9,
issue 2
页码: 235-244
ISSN:0271-2091
年代: 1989
DOI:10.1002/fld.1650090208
出版商: John Wiley&Sons, Ltd
关键词: Process splitting;Advection–dispersion equation;Boundary conditions
数据来源: WILEY
摘要:
AbstractRational 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 er
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