Journal : Acta Geophysica
Article : Truncation errors of selected finite-difference methods for two-dimensional advection-diffusion equation with mixed derivatives

Authors :
Rowiński, P.
Institute of Geophysics, Polish Academy of Sciences, Księcia Janusza 64, 01-452 Warszawa, Poland,,
Nikora, V.
Engineering Department, University of Aberdeen, King’s College, Scotland, UK,,
Majewski, W.
Institute of Meteorology and Water Management, ul. Podleśna 61, 01-673 Warszawa, Poland,,
Aberle, J.
Leichtweiss-Institute for Hydraulic Engineering, Technical University of Braunschweig, Beethovenstr. 51, 38106 Braunschweig, Germany,,
Dittrich, A.
Leichtweiss-Institut of Hydraulic Engineering (LWI), Department of Hydraulic Engineering, Beethovenstrasse 51a, 38106 Braunschweig, Germany,,
Brovchenko, I.
Ukrainian Center of Environmental and Water Projects Glushkova Prospect 42, 03187, Kiev, Ukraine,,
Demchenko, N.
Atlantic Branch of P.P. Shirshov Institute of Oceanology Russian Academy of Sciences Prospect Mira 1, 236000 Kaliningrad, Russia,,
Néelz, S.
Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, UK,,
Wörman, A.
Environmental Physics Group, Swedish University of Agricultural Sciences, Uppsala, Sweden,,
Wallis, S.
Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, UK, s.g.wallis@,
Shucksmith, J.
Department of Civil Engineering, University of Sheffield, UK,,
Kalinowska, M.B.
Institute of Geophysics, Polish Academy of Sciences, ul. Księcia Janusza 64, 01-452 Warszawa, Poland,,
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 offdiagonal 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.

Keywords : truncation error, numerical diffusion, numerical dispersion, Modified Equation approach, advection-diffusion,
Publishing house : Instytut Geofizyki PAN
Publication date : 2007
Number : Vol. 55, no. 1
Page : 107 – 118

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Qute : Rowiński, P. ,Nikora, V. ,Majewski, W. ,Aberle, J. ,Dittrich, A. ,Brovchenko, I. ,Demchenko, N. ,Néelz, S. ,Wörman, A. ,Wallis, S. ,Shucksmith, J. ,Kalinowska, M.B. ,Kalinowska, M.B. , Truncation errors of selected finite-difference methods for two-dimensional advection-diffusion equation with mixed derivatives. Acta Geophysica Vol. 55, no. 1/2007