  The computation of multiphase flows presents a subtle energetic equilibrium
between potential (i.e., surface) and kinetic energies. The use of traditional
interface-capturing schemes provides no control over such a dynamic balance. In
the spirit of the wellknown symmetry-preserving and mimetic schemes, whose
physics-compatible discretizations rely upon preserving the underlying
mathematical structures of the space, we identify the corresponding structure
and propose a new discretization strategy for curvature. The new scheme ensures
conservation of mechanical energy (i.e., surface plus kinetic) up to temporal
integration. Inviscid numerical simulations are performed to show the
robustness of such a method.
