zbMATH — the first resource for mathematics

An impulse-based approximation of fluid motion due to boundary forces. (English) Zbl 0847.76064
Summary: 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. 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.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76B47 Vortex flows for incompressible inviscid fluids
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
Full Text: DOI