| Speaker: | Ricardo Cortez (Mathematics, Tulane University, New Orleans, Louisisana) | |||
| Title: | The Method of Regularized Stokeslets |
| Abstract: |
Regularization methods are Lagrangian numerical methods
for the computation of fluid flows in which a Dirac delta
distribution - that represents a point force, for example -
is replaced with a smooth approximation. A regularized
force field applied to a Stokes flow results in a flow known
as a Regularized Stokeslet. The result is a formula that
relates the applied forces at points in the fluid to the velocities
at the same points. The formula depends on the geometry
of the problem. Other solutions can be derived which
lead to other regularized elements such as Rotlets, that
represent the flow due to an applied torque. I will present
the ideas behind the method, some of the known theory
and numerical examples from biological applications
relevant to a couple of the other talks in the workshop.
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