Fluid Mechanics

Fluid mechanics concentrates on a large number of mechanisms of physics, such as inertia, viscous dissipation, medium compression, gravitation and all the other effects that modify acceleration. The modeling of two-phase free-surface flows considered in this chapter can be derived from the classical equations of fluid mechanics, and in particular the NS equations, by introducing source terms. Geometric curvature is a notion of differential geometry. Euler's equations describe the evolution of an inviscid, non-heat-conductive, irrotational flow of an ideal fluid. In classical mechanics, the discontinuities of the shock wave are represented by the Rankine–Hugoniot conditions when the equations are conservatively formulated. In DM, discontinuities such as contact surfaces and shock waves are treated differently. The equivalence between mass and energy in the theory of special relativity is a reality that applies to the equations of fluid mechanics.