Energy Spectra of Superfluid Turbulence in 3^3He

In superfluid $^3$He turbulence is carried predominantly by the superfluid component. To explore the statistical properties of this quantum turbulence and its differences from the classical counterpart we adopt the time-honored approach of shell models. Using this approach we provide numerical simulations of a Sabra-shell model that allows us to uncover the nature of the energy spectrum in the relevant hydrodynamic regimes. These results are in qualitative agreement with analytical expressions for the superfluid turbulent energy spectra that were found using a differential approximation for the energy flux

Theoretical Analysis of the No-Slip Boundary Condition Enforcement in SPH Methods

The aim of the present work is to provide an in-depth analysis of the most representative mirroring techniques used in SPH to enforce boundary conditions (BC) along solid profiles. We specifically refer to dummy particles, ghost particles, and Takeda et al. [Prog. Theor. Phys. 92 (1994), 939] boundary integrals. The analysis has been carried out by studying the convergence of the first- and second-order differential operators as the smoothing length (that is, the characteristic length on which relies the SPH interpolation) decreases. These differential operators are of fundamental importance for the computation of the viscous drag and the viscous/diffusive terms in the momentum and energy equations. It has been proved that close to the boundaries some of the mirroring techniques leads to intrinsic inaccuracies in the convergence of the differential operators. A consistent formulation has been derived starting from Takeda et al. boundary integrals (see the above reference). This original formulation allows implementing no-slip boundary conditions consistently in many practical applications as viscous flows and diffusion problems

Adaptive mesh refinement with spectral accuracy for magnetohydrodynamics in two space dimensions

We examine the effect of accuracy of high-order spectral element methods, with or without adaptive mesh refinement (AMR), in the context of a classical configuration of magnetic reconnection in two space dimensions, the so-called Orszag-Tang vortex made up of a magnetic X-point centered on a stagnation point of the velocity. A recently developed spectral-element adaptive refinement incompressible magnetohydrodynamic (MHD) code is applied to simulate this problem. The MHD solver is explicit, and uses the Elsasser formulation on high-order elements. It automatically takes advantage of the adaptive grid mechanics that have been described elsewhere in the fluid context [Rosenberg, Fournier, Fischer, Pouquet, J. Comp. Phys. 215, 59-80 (2006)]; the code allows both statically refined and dynamically refined grids. Tests of the algorithm using analytic solutions are described, and comparisons of the Orszag-Tang solutions with pseudo-spectral computations are performed. We demonstrate for moderate Reynolds numbers that the algorithms using both static and refined grids reproduce the pseudo--spectral solutions quite well. We show that low-order truncation--even with a comparable number of global degrees of freedom--fails to correctly model some strong (sup--norm) quantities in this problem, even though it satisfies adequately the weak (integrated) balance diagnostics.Comment: 19 pages, 10 figures, 1 table. Submitted to New Journal of Physic

Global Intermittency and Collapsing Turbulence in the Stratified Planetary Boundary Layer

Direct numerical simulation of the turbulent Ekman layer over a smooth wall is used to investigate bulk properties of a planetary boundary layer under stable stratification. Our simplified configuration depends on two non-dimensional parameters: a Richardson number characterizing the stratification and a Reynolds number characterizing the turbulence scale separation. This simplified configuration is sufficient to reproduce global intermittency, a turbulence collapse, and the decoupling of the surface from the outer region of the boundary layer. Global intermittency appears even in the absence of local perturbations at the surface; the only requirement is that large-scale structures several times wider than the boundary-layer height have enough space to develop. Analysis of the mean velocity, turbulence kinetic energy, and external intermittency is used to investigate the large-scale structures and corresponding differences between stably stratified Ekman flow and channel flow. Both configurations show a similar transition to the turbulence collapse, overshoot of turbulence kinetic energy, and spectral properties. Differences in the outer region resulting from the rotation of the system lead, however, to the generation of enstrophy in the non-turbulent patches of the Ekman flow. The coefficient of the stability correction function from Monin-Obukhov similarity theory is estimated as (Formula presented.) in agreement with atmospheric observations, theoretical considerations, and results from stably stratified channel flows. Our results demonstrate the applicability of this set-up to atmospheric problems despite the intermediate Reynolds number achieved in our simulations. © 2014 The Author(s)

Social psychiatry and psychiatric epidemiology functional impairment among people with severe and enduring mental disorder in rural Ethiopia: a cross-sectional study

Purpose: Evidence regarding functional impairment in people with severe mental disorders (SMD) is sparse in low and middle-income countries. The aim of this study was to identify factors associated with functional impairment in people with enduring SMD in a rural African setting. Methods: A cross-sectional study was conducted at the baseline of a health service intervention trial. A total of 324 participants were recruited from an existing communityascertained cohort of people with SMD (n= 218), and attendees at the Butajira General Hospital psychiatric clinic (n= 106). Inclusion criteria defined people with SMD who had ongoing need for care: those who were on psychotropic medication, currently symptomatic or had a relapse in the preceding two years. The World Health Organization Disability Assessment schedule (WHODAS-2.0) and the Butajira Functioning Scale (BFS), were used to assess functional impairment. Multivariable negative binomial regression models were fitted to investigate the association between demographic, socio-economic and clinical characteristics, and functional impairment. Results: Increasing age, being unmarried, rural residence, poorer socio-economic status, symptom severity, continuous course of illness, medication side effects and internalized stigma were associated with functional impairment across self reported and caregiver responses for both the WHODAS and the BFS. Diagnosis per se was not associated consistently with functional impairment. Conclusion: To optimize functioning in people with chronic SMD in this setting, services need to target residual symptoms, poverty, medication side effects and internalized stigma. Testing the impact of community interventions to promote recovery will be useful. Advocacy for more tolerable treatment options is warranted

Comorbid substance abuse and brain morphology in recent-onset psychosis

The aim of the presented study was to compare schizophrenia and schizoaffective patients early in the course of the disease with and without comorbid substance abuse disorder (SUD vs. NSUD) with regard to brain morphology. In a prospective design 41 patients (20 SUD vs. 21 NSUD) diagnosed as recent-onset schizophrenia or schizoaffective disorder consecutively admitted to hospital received standardized psychopathological evaluation (BPRS, SANS, MADRS, CGI, GAF) and MRI scanning with volumetric measurement of superior temporal gyrus (STG), amygdala-hippocampal complex, and cingulum. Patients with SUD (primarily cannabis) were significantly younger, predominantly male and had a lower socioeconomic status. Despite less attentional impairment (SANS subscore) and elevated anxiety/depression (BPRS subscore) in patients with SUD compared to NSUD, no other psychopathological differences could be detected. There were no differences in the assessed temporolimbic brain morphology between the two subgroups. In conclusion, in this study substance abuse in recent-onset psychosis had no effect on brain morphology and the earlier onset of psychosis in patients with comorbid SUD could not be explained by supposed accentuated brain abnormalities in temporolimbic regions

Structure détaillée de l’écoulement pendant la transition

Detailed flow field in transition. Study of the development of a disturbance created in a laminar boundary layer at the stage following the range of validity of the linear approximation and ending with the explosive generation of “turbulent spots”. Use of a set of hot wire anemometers to measure the fine structure of the phenomenon.La transition laminaire-turbulent passe par de nombreuses phases bien distinctes. Les théories de l'instabilité en régime laminaire, à base des techniques de petites perturbations, sont bien comprises mais elles ne représentent le phénomène que pendant les phases initiales. L'investigation expérimentale de la structure fine de l'écoulement, utilisant un plus grand nombre de sondes à fil chaud, a permis de mettre en évidence certains détails sur la manière dont la couche tourbillonnaire localisée évolue. L'instabilité secondaire de la couche à gradient de vitesse paraît conduire à la longue à la rupture et à la formation d'un foyer turbulent.Kovasznay L. S. G. Structure détaillée de l’écoulement pendant la transition. In: Les instabilités en hydraulique et en mécanique des fluides. Compte rendu des huitièmes journées de l'hydraulique; Lille, 8-10 juin 1964. Tome 1, 1965