September 2013
Intermediate to advanced
320 pages
11h 25m
English
Content preview from Finite Element Techniques for Fluid Flow
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268 DISPERSION PROBLEMS
8.4 DIFFUSION AND CONVECTION PROBLEMS
In order to study diffusion-convection problems, it is necessary to
solve the system of equations (8.31) which as usual has been deduced
using an Eulerian system of coordinates. This solution may be
obtained by integrating over time the system of equations using one
of the implicit or explicit methods discussed previously. However,
we will now introduce a new type of solution, which can be economic
in computer time for many transient problems involving advective
terms.
The solution consists in a combination of Eulerian and
Lagrangian reference systems.
An Eulerian finite element
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