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MBE

We describe finite element simulations of limb growth based on Stokes flow models with
a nonzero divergence representing growth due to nutrients in the early stages of limb bud development.
We introduce a ''tissue pressure'' whose spatial derivatives yield the growth velocity in the limb
and our explicit time advancing algorithm for such tissue flows is described in detail.
The limb boundary is approached by spline functions to compute the curvature and
the unit outward normal vector. At each time step, a mixed-hybrid finite element problem is solved,
where the condition that the velocity is strictly normal to the limb boundary is treated
by a Lagrange multiplier technique. Numerical results are presented.

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