A FULLY CONSERVATIVE NUMERICAL SCHEME FOR A KIND OF GENERALIZED 3D PERIODIC EULER EQUATIONS Available to Purchase

A kind of generalized 3D Euler equations with periodic boundary conditions, that describes the behaviour of the small scale flow in a turbulence model is solved. A fully conservative numerical scheme, that combines pseudospectral discretization in space with a variation of Crank‐Nicholson's scheme in time, is introduced. Some numerical tests show that the numerical solution reaches an asymptotic statistic steady state. In the case of well developed isotropic turbulence, these results are shown to present a reasonable quantitative agreement with the classical theory.