Direct numerical simulation of turbulent channel flow over porous walls

We perform direct numerical simulations (DNS) of a turbulent channel flow over porous walls. In the fluid region the flow is governed by the incompressible Navier--Stokes (NS) equations, while in the porous layers the Volume-Averaged Navier--Stokes (VANS) equations are used, which are obtained by volume-averaging the microscopic flow field over a small volume that is larger than the typical dimensions of the pores. In this way the porous medium has a continuum description, and can be specified without the need of a detailed knowledge of the pore microstructure by indipendently assigning permeability and porosity. At the interface between the porous material and the fluid region, momentum-transfer conditions are applied, in which an available coefficient related to the unknown structure of the interface can be used as an error estimate. To set up the numerical problem, the velocity-vorticity formulation of the coupled NS and VANS equations is derived and implemented in a pseudo-spectral DNS solver. Most of the simulations are carried out at $Re_\tau=180$ and consider low-permeability materials; a parameter study is used to describe the role played by permeability, porosity, thickness of the porous material, and the coefficient of the momentum-transfer interface conditions. Among them permeability, even when very small, is shown to play a major role in determining the response of the channel flow to the permeable wall. Turbulence statistics and instantaneous flow fields, in comparative form to the flow over a smooth impermeable wall, are used to understand the main changes introduced by the porous material. A simulations at higher Reynolds number is used to illustrate the main scaling quantities.Comment: Revised version, with additional data and more in-depth analysi

The breakdown of Darcy's law in a soft porous material

We perform direct numerical simulations of the flow through a model of a deformable porous medium. Our model is a two-dimensional hexagonal lattice, with defects, of soft elastic cylindrical pillars, with elastic shear modulus $G$, immersed in a liquid. We use a two-phase approach: the liquid phase is a viscous fluid and the solid phase is modeled as an incompressible viscoelastic material, whose complete nonlinear structural response is considered. We observe that the Darcy flux ($q$) is a nonlinear function -- steeper than linear -- of the pressure-difference ($\Delta P$) across the medium. Furthermore, the flux is larger for a softer medium (smaller $G$). We construct a theory of this super-linear behavior by modelling the channels between the solid cylinders as elastic channels whose walls are made of a material with a linear constitutive relation but can undergo large deformation. Our theory further predicts that the flow permeability is a universal function of $\Delta P/G$, which is confirmed by the present simulations.Comment: 6 pages, 3 figures, Some minor changes (including the title) from the previous submissio

Network-aware design-space exploration of a power-efficient embedded application

The paper presents the design and multi-parameter optimization of a networked embedded application for the health-care domain. Several hardware, software, and application parameters, such as clock frequency, sensor sampling rate, data packet rate, are tuned at design- and run-time according to application specifications and operating conditions to optimize hardware requirements, packet loss, power consumption. Experimental results show that further power efficiency can be achieved by considering also communication aspects during design space exploratio

Puff turbulence in the limit of strong buoyancy

We provide a numerical validation of a recently proposed phenomenological theory to characterize the space-time statistical properties of a turbulent puff, both in terms of bulk properties, such as the mean velocity, temperature and size, and scaling laws for velocity and temperature differences both in the viscous and in the inertial range of scales. In particular, apart from the more classical shear-dominated puff turbulence, our main focus is on the recently discovered new regime where turbulent fluctuations are dominated by buoyancy. The theory is based on an adiabaticity hypothesis which assumes that small-scale turbulent fluctuations rapidly relax to the slower large-scale dynamics, leading to a generalization of the classical Kolmogorov and Kolmogorov-Obukhov-Corrsin theories for a turbulent puff hosting a scalar field. We validate our theory by means of massive direct numerical simulations finding excellent agreement. This article is part of the theme issue 'Scaling the turbulence edifice (part 2)'

Bridging Polymeric Turbulence at different Reynolds numbers: From Multiscaling to Multifractality

The addition of polymers modifies a flow in a non-trivial way that depends on fluid inertia (given by the Reynolds number Re) and polymer elasticity (quantified by the Deborah number De). Using direct numerical simulations, we show that polymeric flows exhibit a Re and De dependent multiscaling energy spectrum. The different scaling regimes are tied to various dominant contributions -- fluid, polymer, and dissipation -- to the total energy flux across the scales. At small scales, energy is dissipated away by both polymers and the fluid. Fluid energy dissipation, in particular, is shown to be more intermittent in the presence of polymers, especially at small Re. The more intermittent, singular nature of energy dissipation is revealed clearly by the multifractal spectrum

The dynamics of fibers dispersed in viscoelastic turbulent flows

This study explores the dynamics of finite-size fibers suspended freely in a viscoelastic turbulent flow. For a fiber suspended in Newtonian flows, two different flapping regimes were identified previously by Rosti et al (2018). Here we explore, how the fiber dynamics is modified by the elasticity of the carrier fluid by performing Direct Numerical Simulations of a two-way coupled fiber-fluid system in a parametric space spanning different Deborah numbers, fiber bending stiffness and the linear density difference between fiber and fluid. We examine how these parameters influence various fiber characteristics such as the frequency of flapping, curvature, and alignment with the fluid strain and polymer stretching directions. Results reveal that the neutrally-bouyant fibers, depending on their flexibility, oscillate with large and small time scales transpiring from the flow, but the smaller time-scales are suppressed as the polymer elasticity increases. Polymer stretching is uncommunicative to denser-than-fluid fibers, which flap with large time scales from the flow when flexible and with their natural frequency when rigid. Thus, the characteristic elastic time scale has a subdominant effect when the fibers are neutrally-bouyant, while its effect is absent when the fibers become more inertial. Additionally, we see that the inertial fibers have larger curvatures and are less responsive to the polymer presence, whereas the neutrally-bouyant fibers show quantitative changes. Also, the neutrally-bouyant fibers show a higher alignment with the polymer stretching directions compared to the denser ones. In a nutshell, the polymers exert a larger influence on neutrally-bouyant fibers compared to the denser ones. The study comprehensively addresses the interplay between polymer elasticity and the fiber structural properties in determining its response behaviour in an elasto-inertial turbulent flow

Passive control of the flow around unsteady aerofoils using a self-activated deployable flap

Self-activated feathers are used by many birds to adapt their wing characteristics to the sudden change of flight incidence angle. In particular, dorsal feathers are believed to pop-up as a consequence of unsteady flow separation and to interact with the flow to palliate the sudden stall breakdown typical of dynamic stall. Inspired by the adaptive character of birds feathers, some authors have envisaged the potential benefits of using of flexible flaps mounted on aerodynamic surfaces to counteract the negative aerodynamic effects associated with dynamic stall. This contribution explores more in depth the physical mechanisms that play a role in the modification of the unsteady flow field generated by a NACA0020 aerofoil equipped with an elastically mounted flap undergoing a specific ramp-up manoeuvre. We discuss the design of flaps that limit the severity of the dynamic stall breakdown by increasing the value of the lift overshoot also smoothing its abrupt decay in time. A detailed analysis on the modification of the turbulent and unsteady vorticity field due to the flap flow interaction during the ramp-up motion is also provided to explain the more benign aerodynamic response obtained when the flap is in use