Mathematical and Numerical Modeling of Turbulent Flows

Modeling and direct numerical simulation of particle-laden turbulent flows

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xv CHAPTER

Numerical Simulation of Turbulent Bubbly Flows

A mathematical model for turbulent gas-liquid flows with mass transfer and chemical reactions is presented and a robust solution strategy based on nested iterations is proposed for the numerical treatment of the intricately coupled PDEs. In particular, the incompressible Navier-Stokes equations are solved by a discrete projection scheme from the family of Pressure Schur Complement methods. Nove...

Large numerical simulations of turbulent rotating flows

Scientific context Rotation, as measured by the Rossby number (the ratio of the rotation period to the eddy turn over time) is present in astroand geophysics. For example, the high Reynolds number large scales of atmospheric and oceanic flows are affected by the rotation of the Earth; the Rossby number Ro = U0/[L0Ω] for mid-latitude atmospheric synoptic scales is Ro ≈ 0.1 whereas in the solar c...

Some Aspects of Numerical Studies of Turbulent Flows Using Large Eddy Simulation Technique

Spectral modeling of magnetohydrodynamic turbulent flows.

We present a dynamical spectral model for large-eddy simulation of the incompressible magnetohydrodynamic (MHD) equations based on the eddy damped quasinormal Markovian approximation. This model extends classical spectral large-eddy simulations for the Navier-Stokes equations to incorporate general (non-Kolmogorovian) spectra as well as eddy noise. We derive the model for MHD flows and show tha...