The objective of this book is to provide a comprehensive discussion of Fourier and
Chebyshev spectral methods for the computation of incom pressible viscous flows, based on …

Vortex motion is one of the basic states of a flowing continuum. Intere-ingly, in many cases
vorticity is space-localized, generating concentrated vortices. Vortex filaments having …

Different instabilities of the boundary layer flows that appear in the cavity between stationary
and rotating discs are investigated using three-dimensional direct numerical simulations …

We compare seven different strategies for computing spectrally-accurate approximations or
differential equation solutions in a disk. Separation of variables for the Laplace operator …

Both direct numerical simulation and theoretical stability analysis are performed together in
order to study the transition process to turbulence in a flow between a rotating and a …

Turbulent flows are studied in an actual enclosed rotor-stator configuration with a rotating
hub and a stationary shroud. Besides its fundamental importance—the disk boundary layer …

An efficient and accurate numerical scheme is proposed to solve the incompressible Navier–
Stokes equations in a bounded cylinder. The scheme is based on a projection method …

Time-dependent swirling flows inside an enclosed cylindrical rotor–stator cavity with aspect
ratio H/R= 4, larger than the ones usually considered in the literature, are studied. Within a …

In this paper, we present an efficient projection method to solve the three-dimensional time-
dependent incompressible Navier–Stokes equations in primitive variables formulation using …

An original penalization method is applied to model the interaction of magnetically confined
plasma with limiter in the frame of a minimal transport model for ionic density and parallel …