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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.

MSC:
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.)
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