Multiscale analysis and numerical simulation for stability of incompressible flow
Jie Ouyang · Computer Engineering and Applications Journal · 2010
In order to study the stability of the incompressible small-scale periodic flow,the multiscale analysis method is developed to derive the mean-field equations which govern the transport of large-scale perturbations.On the basis of the mean-field equations,the eddy viscosity for stabilities of large scale perturbations is obtained for the parallel time-independent flow.And then,the time-splitting pseudospectral algorithm is used to solve the mean-field equations and the original linearized equations for different parameters and initial conditions.The agreements between the direct numerical simulations and the multiscale theoretic predictions demonstrate the multiscale method and the numerical algorithm are effective.