FLUID-BODY INTERACTION ANALYSIS OF FLOATING BODY IN THREE DIMENSIONS

Analysis and Computation of Two Body Impact in Three Dimensions

A formal impulse-based analysis is presented for the collision of two rigid bodies at single contact point under Coulomb friction in three dimensions (3D). The tangential impulse at the contact is known to be linear in the sliding velocity whose trajectory, parametrized with the normal impulse and referred to as the hodograph, is governed by a generally non-integrable ordinary differential equa...

Three-body halos in two dimensions

A method to study weakly bound three-body quantum systems in two dimensions is formulated in coordinate space for short-range potentials. Occurrences of spatially extended structures (halos) are investigated. Borromean systems are shown to exist in two dimensions for a certain class of potentials. An extensive numerical investigation shows that a weakly bound two-body state gives rise to two we...

Atomic three-body loss as a dynamical three-body interaction.

We discuss how large three-body loss of atoms in an optical lattice can give rise to effective hard-core three-body interactions. For bosons, in addition to the usual atomic superfluid, a dimer superfluid can then be observed for attractive two-body interactions. The nonequilibrium dynamics of preparation and stability of these phases are studied in 1D by combining time-dependent density matrix...

Floating Body, Illumination Body, and Polytopal Approximation

Let K be a convex body in Rd and Kt its floating bodies. There is a polytope that satisfies Kt ⊂ Pn ⊂ K and has at most n vertices, where n ≤ e vold(K \Kt) t vold(B d 2 ) . Let Kt be the illumination bodies of K and Qn a polytope that contains K and has at most n (d−1)-dimensional faces. Then vold(K t \K) ≤ cd vold(Qn \K), where n ≤ c dt vold(K t \K).

Floating Body Cell