Print Email Facebook Twitter The effect of the cell-Reynolds number in the numerical solution of the convection-diffusion equation Title The effect of the cell-Reynolds number in the numerical solution of the convection-diffusion equation Author Vreugdenhil, C.B. Faculty Civil Engineering and Geosciences Department Hydraulic Engineering Date 1982-03-01 Abstract Internal memo. In the numerical solution of convection-diffusion equations a difficulty is commonly met in the occurrence of "standing waves" or spatial oscillations of a numerical origin. This has given rise to a considerable number of methods designed to avoid oscillations, often by means of upstream differencing or a similar approach in finite elements. In the present report, a short analysis of the phenomenon and some methods of remedy are given. The discussion is by no means complete, but it gives some general trends. For simplicity, the analysis is restricted to steady-state solutions of a linear convection-diffusion equation with constant coefficients and in one space dimension Subject diffusionstanding waves To reference this document use: http://resolver.tudelft.nl/uuid:60ce6904-631c-4e7e-a074-4f69011317a8 Publisher TU Delft, Section Hydraulic Engineering Source Report no. 4-82 Part of collection Institutional Repository Document type report Rights © 1982 Vreugdenhil, C.B. Files PDF Vreugdenhil1982.pdf 399.52 KB Close viewer /islandora/object/uuid:60ce6904-631c-4e7e-a074-4f69011317a8/datastream/OBJ/view