Transport barriers are observed inhibitors of the spread of substances in flows. The
collection of such barriers offers a powerful geometric template that frames the main …

Vortex detection methods help researchers to better understand the potential flow
mechanism, and can be divided into three groups. Global methods have higher accuracy at …

We use the recent frame-indifferent theory of diffusive momentum transport to identify
internal barriers in wall-bounded turbulence. Formed by the invariant manifolds of the …

Data obtained from large eddy simulations of single-phase, turbulent flow of Newtonian and
shear-thinning fluids in a baffled stirred tank reactor are considered to identify and …

We simulate the head-on collision between vortex rings with circulation Reynolds numbers
of 4000 using an adaptive, multiresolution solver based on the lattice Green's function. The …

For an arbitrary velocity field v defined on a finite, fixed spatial domain, we find the closest
rigid-body velocity field v RB to v in the L 2 norm. The resulting deformation velocity …

Abstract The Okubo (1970 Deep Sea Res. 17 445)–Weiss (1991 Physica D 48 273)
criterion, has been extensively used as a diagnostic tool to divide a two-dimensional (2D) …

Instantaneous features of three-dimensional velocity fields are most directly visualized via
streamsurfaces. It is generally unclear, however, which streamsurfaces one should pick for …

State-of-the-art computation and visualization of vortices in unsteady fluid flow employ
objective vortex criteria, which makes them independent of reference frames or observers …

Reference frame optimization is a generic framework to calculate a spatially varying
observer field that views an unsteady fluid flow in a reference frame that is as-steady-as …