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Velicity methods: Lagrangian numerical methods which preserve the Hamiltonian structure of incompressible fluid flow. (English) Zbl 0860.76064
Beale, J. T. (ed.) et al., Vortex flows and related numerical methods. Proceedings of the NATO Advanced Research Workshop, Grenoble, France, June 15-19, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 395, 39-57 (1993).
Summary: We present a Lagrangian numerical method valid in any space dimension for approximating solutions to the incompressible Euler equation. The method is based on the canonical Hamiltonian formulation of incompressible flow. The method preserves at least three invariants of the flow: the kinetic energy, the impulse, and the angular momentum. We present numerical results which validate the method and elucidate the structure of the Hamiltonian variables in two and three dimensions.
For the entire collection see [Zbl 0818.00017].

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76B47 Vortex flows for incompressible inviscid fluids
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