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Overset meshes for incompressible flows: On preserving accuracy of underlying discretizations
This study on overset meshes for incompressible-flow simulations is motivated by accurate prediction of wind farm aerodynamics involving large motions and deformations of components with complex geometry. Specifically, using first-order hyperbolic and elliptic equation proxies for the incompressible Navier-Stokes (NS) equations, we investigate the influence of information exchange between overset meshes on numerical performance where the underlying discretization is second-order accurate. The first aspect of information exchange surrounds interpolation of solution where we examine Lagrange and point-cloud-based interpolation for creating constraint equations between overset meshes. To maintain overall second-order accuracy, higher-order interpolation is required for elliptic problems, but linear interpolation is sufficient for hyperbolic problems in first-order form. Higher-order point-cloud-based interpolation provides a pathway to maintaining accuracy in unstructured meshes, but at higher complexity. The second aspect of information exchange focuses on comparing the approaches of overset single system (OSS) and overset Additive Schwarz (OAS) for coupling the linear systems of the overlapping meshes. While the former involves a single linear system, in the latter the discrete linear systems are solved separately, and solving the global system is accomplished through outer iterations and sequential information exchange in a Jacobi fashion. For the test cases studied, accuracy for hyperbolic problems is maintained by performing two outer iterations, whereas many outer iterations are required for elliptic systems. The order-of-accuracy studies explored here are critical for verifying the overset-mesh coupling algorithms used in engineering simulations. Accuracy of these simulations themselves is, however, quantified using engineering quantities of interest such as drag, power, etc. Consequently, we conclude with numerical experiments using NS equations for incompressible flows where we show that linear interpolation and few outer iterations are sufficient for achieving asymptotic convergence of engineering quantities of interest.
Deep Density: Circumventing the Kohn-Sham equations via symmetry preserving neural networks
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A method for generating moving, orthogonal, area preserving polygonal meshes
A new method for generating locally orthogonal polygonal meshes from a set of generator points is presented in which polygon areas are a constraint. The area constraint property is particularly useful for particle methods where moving polygons track a discrete portion of material. Because Voronoi polygon meshes have some very attractive mathematical and numerical properties for numerical computation, a generalization of Voronoi polygon meshes was formulated that enforces a polygon area constraint. Area constrained moving polygonal meshes allow one to develop hybrid particle-mesh numerical methods that display some of the most attractive features of each approach. It is shown that this mesh construction method can continuously reconnect a moving, unstructured polygonal mesh in a pseudo-Lagrangian fashion without change in cell area/volume, and the method's ability to simulate various physical scenarios is shown. Overall, the advantages are identified for incompressible fluid flow calculations, with demonstration cases that include material discontinuities of all three phases of matter and large density jumps.
Synthesis and preservation of graphene-supported uranium dioxide nanocrystals
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Environmental considerations for impact and preservation reference zones for deep-sea polymetallic nodule mining
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Preservation of higher Fe[II] content in borosilicate glass by microwave irradiation in air
Highlights: • Higher Fe[II] absorption within 1000–1200 nm in UV-vis-NIR spectra in microwave (MW) melted glass. • Spectrophotometric methods confirm higher Fe-redox ratio in MW melted glass. • Thermogravimetric analysis (TGA) recorded more weight gain signifying higher stabilisation of Fe[II] in MW melted glass. • Fe 2p{sub 3/2} peak in XPS demonstrates presence of higher FeO concentration in MW glass. • Slow conversation of Fe[II] to Fe[III] in MW heating influencing retention of higher Fe[II]. - Abstract: Existence of high Fe[II] content in glass is a perquisite for achieving high heat absorption property in glass. Present study investigates the capability of microwave (MW) irradiation in retention of higher Fe[II] in glass eliminating the stringent reducing atmosphere requirements in conventional heating. Stabilisation of higher Fe[II] in glass under influence of MW irradiation has been demonstrated, measuring absorbance at >1000 nm in UV–vis-NIR spectra, maintaining identical conditions in MW and in conventional heating. Spectrophotometric methods developing color complex of Fe{sup 2+} with ferrozine and 1, 10 ortho-phenanthroline are used to confirm higher content of Fe[II]. Further, more weight gain in thermo gravimetric analysis, higher isomer shift (>0.89 mm/s) with more relative absorption (% area) for Fe[II] in Mössbauer spectroscopy, and shifting of Fe 2p{sub 3/2} peak in X-ray photoelectron spectroscopy towards lower binding energy further confirm retention of higher FeO under MW irradiation.
SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems
Here, we propose new symplectic networks (SympNets) for identifying Hamiltonian systems from data based on a composition of linear, activation and gradient modules. In particular, we define two classes of SympNets: the LA-SympNets composed of linear and activation modules, and the G-SympNets composed of gradient modules. Correspondingly, we prove two new universal approximation theorems that demonstrate that SympNets can approximate arbitrary symplectic maps based on appropriate activation functions. We then perform several experiments including the pendulum, double pendulum and three-body problems to investigate the expressivity and the generalization ability of SympNets. The simulation results show that even very small size SympNets can generalize well, and are able to handle both separable and non-separable Hamiltonian systems with data points resulting from short or long time steps. In all the test cases, SympNets outperform the baseline models, and are much faster in training and prediction. We also develop an extended version of SympNets to learn the dynamics from irregularly sampled data. This extended version of SympNets can be thought of as a universal model representing the solution to an arbitrary Hamiltonian system.
Application of Partially coherent Wavefront Propagation Calculations for Design of Coherence-Preserving Synchrotron Radiation Beamlines
Ultra-low emittance third-generation synchrotron radiation (SR) sources, such as NSLS-II and MAX-IV, will offer excellent opportunities for further development of experimental techniques exploiting X-ray coherence. However, even in these new SR sources, the radiation produced by relativistic electrons (in undulators, wigglers and bending magnets) will remain only partially coherent in the X-ray spectral range. 'Extraction' of 'coherent portion' of the radiation flux and its transport to sample without loss of coherence must be performed by dedicated SR beamlines, optimized for particular types of experiments. Detailed quantitative prediction of partially coherent X-ray beam properties at propagation through optical elements, which is required for the optimization of such beamlines, can only be obtained from accurate and efficient physical-optics based numerical simulations. Examples of such simulations, made for NSLS-II beamlines, using 'Synchrotron Radiation Workshop' (SRW) computer code, are presented. Special attention is paid to the numerical analysis of the basic properties of partially coherent undulator radiation beam and its distinctions from the Gaussian beam. Performance characteristics of importance for particular beamlines, such as radiation spot size and flux at sample vs size of secondary source aperture for high-resolution microscopy beamlines, are predicted by the simulations.
Emittance preservation during bunch compression with a magnetized beam
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Agricultural market integration preserves future global water resources
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Non-volume preserving-based fusion to group-level emotion recognition on crowd videos
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Ribosome Structure Reveals Preservation of Active Sites in the Presence of a P-Site Wobble Mismatch
Translation initiation in the P site occasionally occurs at atypical (non-AUG) start codons, including those forming a mismatch in the third (wobble) position. During elongation, however, a pyrimidine-pyrimidine wobble mismatch may trigger a translation quality-control mechanism, whereby the P-site mismatch is thought to perturb the downstream A-site codon or the decoding center, thereby reducing translation fidelity and inducing termination of aberrant translation. We report a crystal structure of the 70S initiation complex containing an AUC codon in the ribosomal P site. Remarkably, the ribosome stabilizes the mismatched codon-anticodon helix, arranging a normally disruptive cytosine-cytosine pair into a Watson-Crick-like conformation. Here, the translation-competent conformations of the tRNA, mRNA, and decoding center suggest that a P-site wobble-position mismatch in the 70S initiation complex does not pre-arrange the mRNA or decoding center to favor subsequent miscoding events.
VEGFR tyrosine kinase inhibitor II (VRI) induced vascular insufficiency in zebrafish as a model for studying vascular toxicity and vascular preservation
In ischemic disorders such as chronic wounds and myocardial ischemia, there is inadequate tissue perfusion due to vascular insufficiency. Besides, it has been observed that prolonged use of anti-angiogenic agents in cancer therapy produces cardiovascular toxicity caused by impaired vessel integrity and regeneration. In the present study, we used VEGFR tyrosine kinase inhibitor II (VRI) to chemically induce vascular insufficiency in zebrafish in vivo and human umbilical vein endothelial cells (HUVEC) in vitro to further study the mechanisms of vascular morphogenesis in these pathological conditions. We also explored the possibility of treating vascular insufficiency by enhancing vascular regeneration and repair with pharmacological intervention. We observed that pretreatment of VRI induced blood vessel loss in developing zebrafish by inhibiting angiogenesis and increasing endothelial cell apoptosis, accompanied by down-regulation of kdr, kdrl and flt-1 genes expression. The VRI-induced blood vessel loss in zebrafish could be restored by post-treatment of calycosin, a cardiovascular protective isoflavone. Similarly, VRI induced cytotoxicity and apoptosis in HUVEC which could be rescued by calycosin post-treatment. Further investigation of the underlying mechanisms showed that the PI3K/AKT/Bad cell survival pathway was a main contributor of the vascular regenerative effect of calycosin. These findings indicated that the cardiovascular toxicity in anti-angiogenic therapy was mainly caused by insufficient endothelial cell survival, suggesting its essential role in vascular integrity, repair and regeneration. In addition, we showed that VRI-induced blood vessel loss in zebrafish represented a simple and effective in vivo model for studying vascular insufficiency and evaluating cancer drug vascular toxicities. - Highlights: • In vivo VRI model • Rescue effects of calycosin • Calycosin EC survival pathways.