This article reviews linear instability analysis of flows over or through complex two-
dimensional (2D) and 3D geometries. In the three decades since it first appeared in the …

Recent remarkable progress in computing power and numerical analysis is enabling us to
fill a gap in the dynamical systems approach to turbulence. A significant advance in this …

This work presents developments to a novel evolutionary framework that symbolically
regresses algebraic forms of the Reynolds stress anisotropy tensor. This work contributes to …

We study turbulent flows in pressure-driven ducts with square cross-section through direct
numerical simulation in a wide enough range of Reynolds number to reach flow conditions …

We have performed direct numerical simulations of turbulent flows in a square duct
considering a range of Reynolds numbers spanning from a marginal state up to fully …

Three-dimensional effects in turbulent duct flows, ie, sidewall boundary layers and
secondary motions, are studied by means of direct numerical simulation (DNS). The spectral …

Convergence criteria for direct numerical simulations of turbulent channel and duct flows are
proposed. The convergence indicator for channels is defined as the deviation of the …

Secondary flows can develop in turbulent boundary layers that grow over surfaces with
spanwise inhomogeneities. In this article, we demonstrate the formation of secondary flows …

Direct numerical simulations of turbulent duct flows with aspect ratios 1, 3, 5, 7, 10, and 14.4
at a center-plane friction Reynolds number Re τ, c≃ 180, and aspect ratios 1 and 3 at Re τ …

High-resolution direct numerical simulations are conducted to analyse turbulent states of the
flow of an electrically conducting fluid in a duct of square cross-section with electrically …