A numerical method for the simulation of thin, elastic immersed boundaries in a two-dimensional fluid is introduced. The method is Lagrangian and combines the use of vortices and impulse elements (vortex dipoles). Consequently, it is best suited for applications where the Reynolds number is high. The example presented here is the motion of an undulating filament, simulating the swimming of an organism in a slightly viscous fluid.
In Computational Modeling in Biological Fluid Dynamics (L. Fauci and S. Gueron, ed.), IMA Volumes in Mathematics and its Applications, v. 124, (2001), Springer, pp. 65-70.