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This part presents in details the practical computational aspects
of numerical modeling with complex fluids.
Most of the examples involve only few lines of code:
the concision and readability of codes written with \Rheolef\
is certainly a major key-point of this environment.
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The theoretical background for complex fluids an
associated numerical methods can be found in~\citet{Sar-2016-cfma}.
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We start with yield slip boundary condition as a preliminary problem.
Slip at the wall occurs in many applications with complex fluids.
This problem is solved both by augmented Lagrangian and Newton methods.
Then, viscoplastic fluids are introduced and an
augmented Lagrangian method is presented.
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A prelinary for viscoelastic fluids problems
is the linear tensor transport equation:
it is solved by a discontinuous Galerkin method.
Finally, viscoelastic fluids problems
are solved by an operator splitting algorithm, the $\theta$-scheme.
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