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Slide : [ advection - waves || VIDEO login]
Also called convection, advection models the streaming of infinitesimal elements in a fluid. It generally appears when a transport process is modeled in a Eulerian representation using the convective derivative
For a constant advection velocity , the advection equation can be solved analytically , showing explicitly the underlying characteristic . Try the JBONE applet below to compute the advection of a Gaussian pulse using the Lagrangian CIP method from chapter 6.
Both experiments show that numerical simulations have to be used carefully, to work withing limits of applicability that will be discussed in the comming sections. Note that for a constant advection speed, the wave equation can be written in flux-conservative form that reminds an advection
This shows explicitly that the numerical methods for the advection equation can in principle be used also for wave problems.
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