The motion of an incompressible, inviscid fluid in a region surrounded by a massless, elastic membrane can be approximated by transmitting the effect of the boundary forces to the fluid through vortex dipoles. We present a Lagrangian numerical method for approximating this motion based on the impulse (a.k.a. magnetization) variables introduced by Buttke. In particular, we explain the correspondence between impulse variables and vortex dipoles with a prescribed dipole moment. Numerical examples that illustrate the application of impulse variables in this context are given.

J. Comput. Phys., v. 123 (1996), pp. 341-353

@article{Cortez1996,
        author = {Ricardo Cortez},
        title = {An impulse-based approximation of fluid
                 motion due to boundary forces},
        journal = {J. Comput. Phys.},
        volume = {123},
        number = {2},
        month = {Feb.},
        year = {1996},
        pages = {341--353}
}