A Framework for Characterizing Structural Uncertainty in Large-Eddy Simulation Closures

Motivated by the sizable increase of available computing resources, large-eddy simulation of complex turbulent flow is becoming increasingly popular. The underlying filtering operation of this approach enables to represent only large-scale motions. However, the small-scale fluctuations and their effects on the resolved flow field require additional modeling. As a consequence, the assumptions made in the closure formulations become potential sources of incertitude that can impact the quantities of interest. The objective of this work is to introduce a framework for the systematic estimation of structural uncertainty in large-eddy simulation closures. In particular, the methodology proposed is independent of the initial model form, computationally efficient, and suitable to general flow solvers. The approach is based on introducing controlled perturbations to the turbulent stress tensor in terms of magnitude, shape and orientation, such that propagation of their effects can be assessed. The framework is rigorously described, and physically plausible bounds for the perturbations are proposed. As a means to test its performance, a comprehensive set of numerical experiments are reported for which physical interpretation of the deviations in the quantities of interest are discussed.     

Two polymorphs of bis(2‐bromophenyl) di­sulfide

Colourless crystals of the title compound, bis(2‐bromo­phenyl) di­sulfide, C₁₂H₈Br₂S₂, are obtained from the reaction of 2‐bromo­phenyl­mercaptan with metallic sodium and either zinc chloride or cadmium chloride in methanol. In the presence of Zn^II ions, the crystals are orthorhombic (space group Pbca, with Z′ = 1); with Cd^II ions present, the product is triclinic (space group , with Z′ = 4). Both polymorphs exhibit significant intramolecular C—H⋯S hydrogen bonds. In the ortho­rhombic form, mol­ecules are linked by intermolecular C—H⋯Br hydrogen bonds, while in the triclinic form, mol­ecules exhibit Br⋯Br contacts.     

Variability in the Chemical Composition of Myrcia sylvatica (G. Mey) DC. Essential Oils Growing in the Brazilian Amazon

Myrcia sylvatica (G. Mey) DC. is known as “insulin plant” because local communities use the infusions of various organs empirically to treat diabetes. The leaves of seven specimens of Myrcia sylvatica (Msy-01 to Msy-07) were collected in the Brazilian Amazon. Furthermore, the essential oils were extracted by hydrodistillation and analyzed by gas chromatography coupled to mass spectrometry, and their chemical compositions were submitted to multivariate analysis (Principal Component Analysis and Hierarchical Cluster Analysis). The multivariate analysis displayed the formation of four chemical profiles (chemotypes), described for the first time as follows: chemotype I (specimen Msy-01) was characterized by germacrene B (24.5%), γ-elemene (12.5%), and β-caryophyllene (10.0%); chemotype II (specimens Msy-03, -06 and -07) by spathulenol (11.1–16.0%), germacrene B (7.8–20.7%), and γ-elemene (2.9–7.6%); chemotype III (Msy-04 and -05) by spathulenol (9.8–10.1%), β-caryophyllene (2.5–10.1%), and δ-cadinene (4.8-5.6%); and chemotype IV, (Msy-02) by spathulenol (13.4%), caryophyllene oxide (15.0%), and α-cadinol (8.9%). There is a chemical variability in the essential oils of Myrcia sylvatica occurring in the Amazon region.     

Chemical Composition and Variability of the Volatile Components of Myrciaria Species Growing in the Amazon Region

Myrciaria (Myrtaceae) species have been well investigated due to their chemical and biological relevance. The present work aimed to carry out the chemotaxonomic study of essential oils of the species M. dubia, M. floribunda, and M. tenella, sampled in the Brazilian Amazon and compare them with the volatile compositions from other Myrciaria species reported to Brazil and Colombia. The leaves of six Myrciaria specimens were collected (PA, Brazil) during the dry season, and their chemical compositions were analyzed by gas chromatography-mass spectrometer (GC-MS) and gas chromatography-flame ionization detector (GC-FID). The main compounds identified in the essential oils were monoterpenes with pinane and menthane skeletons, followed by sesquiterpenes with caryophyllane and cadinane skeletons. Among the sampled Myrciaria specimens, five chemical profiles were reported for the first time: profile I (M. dubia, α-pinene, 54.0–67.2%); profile II (M. floribunda, terpinolene 23.1%, α-phellandrene 17.7%, and γ-terpinene 8.7%); profile III (M. floribunda, γ-cadinene 17.5%, and an unidentified oxygenated sesquiterpene 15.0%); profile IV (M. tenella, E-caryophyllene 43.2%, and α-humulene 5.3%); and profile V (M. tenella, E-caryophyllene 19.1%, and caryophyllene oxide 41.1%). The Myrciaria chemical profiles showed significant variability in extraction methods, collection sites, plant parts, and genetic aspects.     

Green fluorescent protein in inertially injected aqueous nanodroplets

We inertially inject and study the contents of optically trappable aqueous nanodroplets (hydrosomes) emulsified in a perfluorinated matrix. A new piezoelectric actuated device for production of single hydrosomes on demand is introduced. Hydrosomes containing enhanced green fluorescent protein (EGFP) were injected, optically trapped, and held at the focus of an excitation laser in a confocal microscope, and single-molecule photobleaching events were observed. The rotational diffusion time of EGFP in trapped hydrosomes was measured using time-resolved fluorescence anisotropy. In free solution, the mean rotational diffusion time was determined to be 13.8 +/- 0.1 ns at 3 microM and 14.0 +/- 0.2 ns at 10 microM. In hydrosomes, the mean rotational diffusion time was similar and determined to be 12.6 +/- 1.0 ns at 3 microM and 15.5 +/- 1.6 ns at 10 microM. We conclude that the rotational motion inside the nanodroplets is consistent with rotation in free solution and that the protein therefore does not aggregate at the water-oil interface. Protein can be confined in hydrosomes with high efficiency using this technique, which provides an alternative to surface attachment or lipid encapsulation and opens up new avenues of research using single molecules contained in fluid nanovolumes.     

Optical phase-based beamformer using MZM SSB modulation combined with crystal polarization optics and a spatial light modulator

The performance of a widely tunable phase-based beamformer for phased array antennas using a new technique to cross-polarized the carrier and the sideband, in order to allow the phase control by means of a spatial light modulator, is experimentally demonstrated. The technique relies on the combination of single sideband amplitude modulation (SSB) using a Mach-Zehnder modulator (MZM) and birefringence (to cross-polarized the carrier and the sideband). The architecture has the potential of controlling multiple independent beams simultaneously. The beamformer feeds an eight elements array showing an insertion loss and a reset speed of around 12 dB and 70 ms, respectively. Far-field antenna patterns between 7.5 GHz and 8.5 GHz for nine elevation angles within a range of ±20° have been measured showing beam steering capability, amplitude distribution weighting as well as multibeam operation.     

Amphiphilic block copolymer nanotubes and vesicles stabilized by photopolymerization

We report on a new method to stabilize nanotube and vesicle structures created from amphiphilic diblock copolymers by means of photopolymerization. Cross-linking with UV light exposure minimizes fluid disruption during stabilization. Additionally, the spatial control afforded by focusing or masking the initiating light source enables stabilization of distinct segments of individual nanostructures. This contribution demonstrates (1) that vesicles and nanotubes formed from poly(ethylene oxide)-block-polybutadiene are stabilized by exposure to UV light in the presence of a water-soluble photoinitiator and (2) that new nanotube geometries can be constructed by means of spot-curing, and (3) it reveals an application for photopolymerized nanotubes by showing electrophoresis of DNA through a UV-stabilized nanotube.     

Tangentially continuous directional derivatives in nonsmooth analysis

In this paper, we introduce a new class of nonsmooth functions in terms of a continuity property of the usual directional derivative. Under this approach, we study the subregular and the semismooth functions. Finally, we give conditions for a marginal function to be subregular and semismooth.This research was supported in part by the Fondo Nacional de Ciencias, Santiago, Chile.The authors thank A. Auslender and L. Thibault for discussions on the subject.     

Operations Research challenges in forestry: 33 open problems

Annals of Operations Research - Forestry has contributed many problems to the Operations Research (OR) community. At the same time, OR has developed many models and solution methods for use in...