Abstract
The spread of a passive contaminant in an open-channel reach is considered with use of a two-dimensional advection-diffusion equation with the included off-diagonal dispersion coefficients. This paper presents the calculation of truncation errors, namely numerical diffusion and numerical dispersion for various finite difference schemes. The accuracy of the considered finite-difference approximations is analysed by deriving and studying the relevant modified partial differential equation.
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Kalinowska, M.B., Rowiński, P.M. Truncation errors of selected finite difference methods for two-dimensional advection-diffusion equation with mixed derivatives. Acta Geophys. 55, 104–118 (2007). https://doi.org/10.2478/s11600-006-0046-3
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DOI: https://doi.org/10.2478/s11600-006-0046-3