Acoustic Doppler current profilers (ADCP) are widely used in geophysical studies for mean velocity profiling and calculation of energy dissipation rate. On the other hand, estimation turbulent stresses from ADCP data still remains challenging. With four-beam version device, only two shear derivable; even five-beam (Janus+), full Reynolds stress tensor is problematic currently. The known attempt...

Boussinesq’s hypothesis is at the heart of eddy viscosity models, which are used in many different fields to model turbulent flows. In its present time formulation, this hypothesis corresponds to an alignment between Reynolds stress and mean strain tensors. We begin with historical remarks on Boussinesq’s results and recall that he introduced a local averaging twenty years before Reynolds, but ...

Homogeneous anisotropic turbulence simulations are used to determine off-diagonal components of the Reynolds stress tensor and its parameterization in terms of turbulent viscosity and Λ-effect. The turbulence is forced in an anisotropic fashion by enhancing the strength of the forcing in the vertical direction. The Coriolis force is included with a rotation axis inclined relative to the vertica...

In this study we highlight the influence of mean dilatation and mean density gradient on the Reynolds stress modeling of compressible, heat-releasing and supercritical turbulent flows. Firstly, the modeling of the rapid pressure-strain correlation has been extended to self-consistently account for the influence of mean dilatation. Secondly, an algebraic model for the turbulent density flux has ...

We propose and study a new numerical scheme to compute the isothermal and unsteady flow of an incompressible viscoplastic Bingham medium. The main difficulty, for both theoretical and numerical approaches, is due to the non-differentiability of the plastic part of stress tensor in regions where the rate-of-strain tensor vanishes. This is handled by reformulating the definition of the plastic st...

spherical Bessel function complex ware number in the region a < r < b mass local unit normal vector hydrostatic pressure in the region a < r < b pressure in the region a < r < b real constant radial coordinate in spherical coordinates position vector time physical component of the radial velocity in the region a < r < b physical component of the tangential velocity in the region a < r < b veloc...

The turbulent potential model is a RANS model that avoids modeling the Reynolds stress tensor. As a result it has the ability to obtain the physical accuracy of Reynolds stress transport equation models at a cost and complexity comparable to popular two equation models. The model’s ability to predict channel flow, free-shear layers, homogeneous shear flow, stagnation point flow, backward facing...

Reynolds stress budgets for both Couette and boundary layer flows are evaluated and presented. Data are taken from direct numerical simulations of rotating and non-rotating plane turbulent Couette flow and turbulent boundary layer with and without adverse pressure gradient. Comparison of the total shear stress for the two flows suggests that the Couette case may be regarded as the high Reynolds...

The limitations of turbulence closure models in the context Reynolds-averaged Navier–Stokes (RANS) simulations play a significant part contributing to uncertainty computational fluid dynamics (CFD). Perturbing spectral representation Reynolds stress tensor within physical limits is common practice several commercial and open-source CFD solvers, order obtain estimates for epistemic uncertainties...