Discrete Models for Advection
Publication: Journal of Hydraulic Engineering
Volume 110, Issue 10
Abstract
The advection equation is modeled using finite differences in space, with the time derivative left unaltered. The properties of three schemes are discussed in detail, by considering the propagation of a point disturbance and interpreting the results in terms of the propagation characteristics of the Fourier components of the initial disturbance. Central differences produce a forwardpropagating oscillatory response with an envelope that propagates in both directions. A first order upwind differencing scheme produces single humped forward propagating disturbances which are highly damped, while a two point second order scheme produces a forward propagating disturbance which is preceded by an oscillatory precursor. The role of dispersive and diffuse terms is discussed.
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Published In
Journal of Hydraulic Engineering
Volume 110 • Issue 10 • October 1984
Pages: 1325 - 1339
Copyright
Copyright © 1984 ASCE.
History
Published online: Oct 1, 1984
Published in print: Oct 1984
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