Three-dimensional Cavity Research Articles

An efficient discrete unified gas-kinetic scheme for compressible thermal flows

In this paper, an efficient discrete unified gas-kinetic scheme (DUGKS) is developed for compressible thermal flows based on the total energy kinetic model for natural convection with a large relative temperature difference. A double distribution function model is designed with the second distribution representing the total energy. This efficient DUGKS enables the simulation of compressible thermal flows, governed by the compressible Navier–Stokes–Fourier system, using only a seventh-order, off-lattice Gauss–Hermite quadrature (GHQ) D3V27A7 combined with a fifth-order GHQ D3V13A5. The external force is included by truncated Hermite expansions. Based on the Chapman–Enskog approximation and Hermite projection, we propose a systematic approach to derive the discrete kinetic boundary conditions for the density and total energy distribution functions. The discrete kinetic boundary treatments are provided for the no-slip boundary condition, Dirichlet boundary condition and Neumann boundary condition. To validate our scheme, we perform simulations of steady natural convection (Ra=103−106) in two- and three-dimensional cavities with differentially heated sidewalls and a large temperature difference (ε=0.6), where the Oberbeck–Boussinesq approximation is invalid. The results demonstrate that the current efficient DUGKS is robust and accurate for thermal compressible flow simulations. With the D3V27A7 and D3V13A5 off-lattice discrete particle velocity model, the computational efficiency of the DUGKS is improved by a factor of 3.09 when compared to the previous partial energy kinetic model requiring the ninth-order Gauss–Hermite quadrature.

Preparation and performance of a bamboo-based electromagnetic wave absorber by interfacial polymerization of graphene oxide/polyaniline

Excellent electromagnetic wave absorption ability and effective absorption bandwidth have been the development direction of electromagnetic wave absorbing materials. In this paper, a rational structural design is proposed. Graphene oxide (GO)/polyaniline (PANI) layer was formed on the surface of the natural material bamboo powder (BP) by an interfacial polymerization process. The combination of GO and PANI improves the impedance mismatch of the conductive polymer PANI. Enhanced dielectric storage and loss capability of the composite GO/PANI/BP. The addition of BP brings more electromagnetic wave loss channels to the composite GO/PANI/BP. This unique structure facilitates the construction of a three-dimensional electromagnetic wave-reflecting cavity, which improves the absorptive capacity of the composite by introducing effective multiple reflections. The conductivity of GO/PANI/BP was 1.78 (±0.06) S/cm. When filled to 30 wt%, a minimum reflection loss (RLmin) of −44 dB at 9.36 GHz and a thickness of 3 mm, and an effective absorption bandwidth (<-10 dB) of up to 5.36 GHz in the frequency range 12.64–18 GHz and at a thickness of 2 mm. Exhibits superior loss capability compared to most previous PANI-based electromagnetic wave absorbing materials. In addition, the design structure of this three-dimensional electromagnetic wave reflecting cavity can provide inspiration for the design of other electromagnetic wave absorbing materials and expands the candidate range of green and efficient electromagnetic wave absorbers.

Study on the steady-oscillatory transition of three-dimensional (3D) natural convection via Hopf bifurcation

The transition from steady-state flow to periodic oscillatory flow for the natural convection by Hopf bifurcation is investigated in a three-dimensional (3D) cavity. The spectral collocation method (SCM) in combination with the artificial compressibility method (ACM), which is developed by ourselves as a numerical method SCM-ACM with high accuracy, is employed to solve the governing equations directly instead of linear stability analysis method that is commonly used for the research on flow instability. The results show that the amplitude decays exponentially with time and the decay rate is linear with the Grashof number (Gr). The critical Grashof number for steady-oscillatory transition is obtained as Grcr = 3.423 × 106. The dimensionless angular frequency ωcr = 0.24 is also determined by Fourier analysis. In this work, we also examine the heat-momentum interactions within the boundary layers, visualize the periodic oscillations of temperature and velocity amplitudes, and analyze the origin of instability from multiple angles. The results show that large oscillations of velocity and temperature are observed near the isothermal walls. The oscillation is enhanced by the increase of thermal boundary layer thickness and flow velocity at both ends of isothermal walls. The maximum velocity and temperature amplitudes appear at the lower left and upper right corners of the mid-plane (Z = 0.5), where are the origin of instability, and the spanwise walls are almost independent of oscillations. The oscillatory flow of natural convection in three-dimensional cavity originates from the continuously increasing buoyancy force, and its transition occurs by Hopf bifurcation. Moreover, the temperature amplitude exhibits a wavy distribution on the mid-plane (X = 0.5) and strongly depends on the depth Z. These results provide benchmark data for future numerical studies and engineering application.

Exploiting the Mechanical Bond Effect for Enhanced Molecular Recognition and Sensing.

The ubiquity of charged species in biological and industrial processes has resulted in ever-increasing interest in their selective recognition, detection, and environmental remediation. Building on the established coordination chemistry principles of the chelate and macrocyclic effects, and host preorganization, supramolecular chemists seek to construct specific 3D binding cavities reminiscent of biotic systems to enhance host-guest binding affinity and selectivity. Mechanically interlocked molecules (MIMs) present a wholly unique platform for synthetic host design, wherein topologies afforded by the mechanical bond enable the decoration of 3D cavities for non-covalent interactions with a range of target guest geometries. Notably, MIM host systems exhibit mechanical bond effect augmented affinities and selectivities for a variety of charged guest species, compared to non-interlocked acyclic and macrocycle host analogs. Furthermore, the modular nature of MIM synthesis facilitates incorporation of optical and electrochemical reporter groups, enabling fabrication of highly sensitive and specific molecular sensors. This review discusses the development of recognition and sensing MIMs, from the first reports in the late 20th century through to the present day, delineating how their topologically preorganized and dynamic host cavities enhance charged guest recognition and sensing, demonstrating the mechanical bond effect as a potent tool in future chemosensing materials.

Explicit and unconditionally stable finite-difference time-domain subgridding algorithm based on hanging variables

Due to the limitation of the stability condition, the finite-difference time-domain (FDTD) method cannot efficiently deal with electromagnetic problems containing fine structures. The explicit and unconditionally stable (EUS) FDTD method can eliminate the constraint of the stability condition and improve the simulation efficiency of fine structures by filtering out the unstable modes for the system matrix. However, the EUS-FDTD method needs to solve the eigenvalues of the numerical system matrix, and the symmetry of the numerical system matrix needs to be ensured when the subgridding scheme is used to discretize targets containing fine structures. The existing EUS-FDTD subgridding method encounters some problems such as complex implementation and insufficient accuracy. In order to solve the above problems, in this work, the hanging variables subgridding (HVS) algorithm is applied to the EUS-FDTD algorithm. Starting from the symmetry of the system matrix, the stability of the hanging variables subgridding algorithm is proven, and a high-precision, stable, and easy-to-implement HVS-EUS-FDTD scheme is proposed. Numerical examples of the radiation of linear magnetic currents in free space, electromagnetic scattering of multiple dielectric objects, and a three-dimensional cavity containing a medium demonstrate the stability, high accuracy and efficiency of the proposed method. Numerical experiments show that the computational efficiency of the HVS-EUS-FDTD algorithm can be improved hundreds of times compared with that of the uniform fine grid FDTD algorithm, and the highest computational efficiency can be improved up to ratio (the size ratio of coarse grid to fine grid) times compared with that of the HVS-FDTD algorithm.

Detection of zinc in pig feed based on the cavities of different shapes combined with LIBS

Considering the serious risks posed by the heavy metals present in pig diets, monitoring and controlling the amount of these metals is crucial. The laser-induced breakdown spectroscopy (LIBS) is a promising technique for performing elemental analysis due to its unique advantages, such as rapid, in situ, nondestructive, and online detection of various minerals. In order to improve the detection accuracy and detection limit (LOD) of elements, the spatial constraint combined with laser-induced breakdown spectroscopy (CC-LIBS) is used to detect the quantity of zinc in pig feed and achieve the detection of samples with lower concentrations. Zn I 480.86 nm is selected as the characteristic spectral line, and the effects of different two-dimensional (cylindrical) and three-dimensional (hemispherical, truncated cone) cavities on the enhancement factor are compared under different time delays. The results show that the optimal conditions include a truncated cone cavity D5H3, a delay time of 2.08, and an enhancement factor of 3.01 associated with the analytical spectral line. The detection limit of zinc in samples under CC-LIBS is 62.67 mg/kg (the recommended quantity of zinc in pig diet mentioned in the safe use of feed additives is 43–80 mg/kg), which is 35.65% lower than that under the LIBS (97.39 mg/kg). Therefore, this work provides a new test basis and idea for the detection of zinc in pig feed.

Recent advances in novel chiral macrocyclic arenes.

Chiral macrocyclic arenes possess confined three-dimensional asymmetric cavities, electron-rich structures, chiral luminescence properties and excellent enantioselective recognition properties and have become a frontier and hotspot of macrocyclic chemistry and supramolecular chemistry. In recent years, there has been growing interest in the development of novel chiral macrocyclic arenes, which have found applications in various research areas. In this review, the construction, properties and functional applications of novel chiral macrocyclic arenes in enantioselective recognition, chiral sorting and construction of chiral luminescent materials according to their chiral types, including central, axial, planar, and inherent chiralities, are summarized. It is expected that this review will be helpful for research on supramolecular chemistry and for promoting the development of synthetic chemistry, materials chemistry and biochemistry.

Study on liquid dielectrophoresis based on double flexible electrodes simulating interdigitated pattern electrodes

Dielectrophoresis affects the surface wettability by applying a non-uniform electric field to dipoles inside dielectric liquid, achieving adjustable droplet contact angle and overcoming the saturation limitation of contact angle caused by the electrowettability effect. However, it is difficult to realize useful three-dimensional tunable optical devices because most of the driving electrodes need to be patterned. In this work, a model of double flexible electrodes simulating planar interdigitated pattern electrodes is proposed based on the dielectrophoresis. Double flexible electrodes, which are wrapped with an insulating dielectric layer and are not conductive to each other are arranged at close intervals and wound along the plane substrate to form a two-dimensional planar line wall. A hydrophobic layer is used to fill the gap and increase the initial contact angle. Ultimately, the “droplet-interdigitated planar line wall” dielectrophoresis driven-droplet model is formed after the dielectric droplets have been deposited on the line wall surface. Firstly, considering the influence of penetration depth and electrode gap area, Young’s equation is theoretically modified to adapt to this model. Then, the finite element algorithm simulation is used to used to comparatively analyze the potential distribution of this model and the planar interdigitated pattern electrode model. The field strength distributions of the electrodes with different wire diameters and insulating layer thickness values are analyzed. It can be found that with the increase of the diameter of the electrode wire and the thickness of the insulating layer, the morphology of the model changes from the tip electrode into the planar electrode, the surface field strength attenuates exponentially and the peak value decreases. This shows that the structure of this electrode in this model is superior to that of the planar electrode. After that, the contact angle of the model is measured experimentally in a range of 58°－90° under 0–250 &lt;i&gt;V&lt;/i&gt;&lt;sub&gt;rms&lt;/sub&gt; voltage, which is in line with the theoretical expectation. At the same time, neither obvious contact angle lag nor saturation is observed in the experiment. Finally, the new electrophoretic driving droplet model constructed in this paper transforms the dielectric electrophoretic driving mode from a two-dimensional planar electrode to a one-dimensional flexible linear electrode. Because of its flexibility and plasticity, it is convenient to form a three-dimensional cavity and can be applied to more complex device structures.

The Integration and Design of Green Concept in Jewelry under the Background of Information Technology

Abstract This paper first integrates the green concept into jewelry design from three aspects of jewelry materials, modeling and production process, and demonstrates the jewelry 3D printing technology in line with the green concept in the context of information technology and analyzes its technical process. Then, based on the PCA method and the point cloud data of space lattice, the three-dimensional normal estimation of jewelry is carried out, the three-dimensional reconstruction and cavity repair of jewelry is carried out through the triangular mesh model, and the complete output of the jewelry model in STL format is carried out, and the STL fast slicing is carried out. Finally, the effects of 3D modeling, slicing efficiency, and jewelry design are analyzed through numerical simulation experiments. The results show that the standard deviation of the error in the x-direction σ =0.16um, expectation μ =−0.007um, the standard deviation of the error in the y-direction σ =0.08um, expectation μ =0.003um, and the standard deviation of the error in the z-direction σ =0.28um, expectation μ =−0.001um, with a variation range of (−0.028, 0.028), in the three-dimensional modeling of jewelry. Compared with the traditional slicing algorithm, this paper’s slicing efficiency of jewelry is improved by (0.26, 0.45), when the production quantity is more than 500 pieces, in terms of the cost of the traditional production method is more advantageous.

Mechanism of width effects on cavity-induced transitions at hypersonic speed using direct numerical simulation

Cavities on the surfaces of hypersonic vehicles cannot be avoided easily. Moreover, they can trigger boundary layer transition under certain conditions. However, little progress has been reported on boundary layer transitions induced by a three-dimensional (3-D) shallow cavity. In this study, transitions induced by six 3-D shallow cavities with the same length–depth ratios of 20 and different widths of 0.25, 0.5, 0.75, 1.0, and 1.5 times the baseline width (W), as well as infinite width, were investigated. A direct numerical simulation was conducted using the Roe scheme with 4th-order minimum dispersion and controllable dissipation, and weighted essentially non-oscillatory reconstruction, based on our in-house code: Unsteady NavIer–STokes equations solver. Cavity width was observed to have non-monotonic influences on transition. Both the 0.25 and 1.0 W cavities could induce transition constantly. Moreover, flow was maintained as laminar past the 1.5 W and InfW cavities. For the 0.5 and 0.75 W cavities, intermittent transition was observed with different intermittency factors. The intermittent transition phenomenon was determined to be caused by the periodic increase and decrease in the adverse pressure gradient (APG) in the front part of cavity. Notably, the recirculation with a synchronic size change was the origin of the APG oscillation.

Free-space coupling and characterization of transverse bulk phonon modes in lithium niobate in a quantum acoustic device

Transverse bulk phonons in a multimode integrated quantum acoustic device are excited and characterized via their free-space coupling to a three-dimensional (3D) microwave cavity. These bulk acoustic modes are defined by the geometry of the Y-cut lithium niobate substrate in which they reside and couple to the cavity electric field via a large dipole antenna, with an interaction strength on the order of the cavity linewidth. Using finite element modeling, we determine that the bulk phonons excited by the cavity field have a transverse polarization with a shear velocity matching previously reported values. We demonstrate how the coupling between these transverse acoustic modes and the electric field of the 3D cavity depends on the relative orientation of the device dipole, with a coupling persisting to room temperature. Our study demonstrates the versatility of 3D microwave cavities for mediating contact-less coupling to quantum, and classical, piezoacoustic devices.

Deep learning framework for acoustic eigenvalue analysis of a double cavity with a perforated partition

A deep-learning-based acoustic eigenvalue analysis method is proposed for predicting the acoustic natural modes and natural frequencies of a double cavity such as a passenger compartment cavity connected to a trunk cavity. A double cavity comprises a main cavity, auxiliary cavity, and perforated partition between them. The hole distribution in the perforated partition strongly affects the acoustic characteristics of the double cavity. For a given hole distribution, a single deep learning model was developed for predicting the acoustic natural modes and natural frequencies of a double cavity simultaneously. The deep learning model was developed based on convolutional and transposed convolutional neural layers. The model was trained, validated, and tested using a suitable dataset for a two-dimensional double cavity and then extended to a three-dimensional simplified passenger compartment cavity connected to a trunk cavity. The validity of the extended model was verified for simplified acoustic cavities of commercial sedans. The latent variables of the model exhibited a changing trend of the natural frequencies depending on the hole distribution. Gradient-weighted class activation mapping was used to visualize important locations that significantly affect the output of the proposed model.

Application of the lattice Boltzmann method to the study of ultrasound propagation and acoustic streaming in three-dimensional cavities: advantages and limitations

Application of the lattice Boltzmann method to the study of ultrasound propagation and acoustic streaming in three-dimensional cavities: advantages and limitations

Fast generation of Schrödinger cat states using a Kerr-tunable superconducting resonator

Schrödinger cat states, quantum superpositions of macroscopically distinct classical states, are an important resource for quantum communication, quantum metrology and quantum computation. Especially, cat states in a phase space protected against phase-flip errors can be used as a logical qubit. However, cat states, normally generated in three-dimensional cavities and/or strong multi-photon drives, are facing the challenges of scalability and controllability. Here, we present a strategy to generate and preserve cat states in a coplanar superconducting circuit by the fast modulation of Kerr nonlinearity. At the Kerr-free work point, our cat states are passively preserved due to the vanishing Kerr effect. We are able to prepare a 2-component cat state in our chip-based device with a fidelity reaching 89.1% under a 96 ns gate time. Our scheme shows an excellent route to constructing a chip-based bosonic quantum processor.

Numerical Simulation and Computational Fluid Dynamics Analysis of Two-Dimensional Lid-Driven Cavity Flow Within the Weapon Bay of an Autonomous Fighter Drone

The efficient deployment of weapons in military operations is critical for mission success, and the flow of air within the weapon bay of an autonomous fighter drone plays a vital role in achieving this objective. In this paper, we present a comprehensive numerical simulation and computational fluid dynamics (CFD) analysis of the three-dimensional lid-driven cavity flow within the weapon bay of an autonomous fighter drone. To address this challenging problem, we employ CFD analysis and a multigrid approach to solve the Navier-Stokes equations for the aerodynamic problem. Our simulations include high Reynolds numbers of up to 10,000, which demonstrates the potential of CFD analysis in optimizing the design of autonomous fighter drones for military operations. We evaluate the effectiveness of the linked strongly implicit multigrid technique in estimating high-Re fine-mesh flow solutions using the vorticity-stream function formulation of the two-dimensional incompressible Navier-Stokes equations. The model issue is the driven flow in a square cavity, and we consider meshes up to 1024 x 1024 points and combinations with Reynolds numbers as high as 1000. To further improve the accuracy of our simulations, we employ one-dimensional grid clustering coordinate transformations instead of uniform mesh refinement, as the flow field exhibits one or more secondary vortices. Our findings demonstrate that CFD analysis can provide valuable insights into the complex flow dynamics within the weapon bay of autonomous fighter drones, which can lead to the optimization of their design for enhanced mission capabilities. Overall, our study highlights the significance of numerical simulations and CFD analysis in the design and optimization of autonomous fighter drones for military applications. Our results can serve as a basis for future research in the field of UAV aerodynamics and contribute to the development of more efficient and effective military operations.

GPU implementation of the discrete unified gas kinetic scheme for low-speed isothermal flows

In this paper, two GPU parallel algorithms are proposed for the discrete unified gas kinetic scheme (DUGKS) for simulating low-speed isothermal flows. Algorithm-I uses a two-level fine-grain technique for the parallelization of physical spatial space, while Algorithm-II adopts this technique for both physical spatial and particle velocity spaces. To evaluate the performance of the proposed algorithms, several typical benchmark problems are simulated, including the two-dimensional (2D) and three-dimensional (3D) lid-driven cavity flows, the micro channel and cavity flows. Numerical results show that our GPU algorithms can achieve satisfactory computational efficiency. For Algorithm-I, the speedup can reach 250 and 338 on a Tesla V100 GPU card for the 2D and 3D continuum cavity flows, respectively, and a hundredfold acceleration can be obtained for the rarefied cases. While for Algorithm-II, a speedup of about 70 can be attained for rarefied cases. However, it is not applied to continuum problems that only require a small number of velocity points. Moreover, comparisons between the two GPU algorithms are also conducted for the rarefied flows with various grid meshes and velocity directions. The results show that Algorithm-I performs better when physical mesh size is large, while Algorithm-II can provide higher efficiency for a coarser mesh with medium number of discrete velocities. Special attention is also paid to comparisons between Algorithm-I and MPI parallelization with 128 CPU cores based on physical space discretization approach, and it is found that Algorithm-I has a clear advantage on V100 GPU when dealing with sparse physical grids in both continuum and rarefied cases.

Integrating planar circuits with superconducting 3D microwave cavities using tunable low-loss couplers

We design and test a low-loss interface between superconducting three-dimensional microwave cavities and two-dimensional circuits, where the coupling rate is highly tunable. This interface seamlessly integrates a loop antenna and a Josephson junction-based coupling element. We demonstrate that the loss added by connecting this interface to the cavity is 1.28 kHz, corresponding to an inverse quality factor of 1/(4.5×106). Furthermore, we show that the cavity's external coupling rate to a 50 Ω transmission line can be tuned from negligibly small to over 3 orders of magnitude larger than its internal loss rate in a characteristic time of 3.2 ns. This switching speed does not impose additional limits on the coupling rate because it is much faster than the coupling rate. Moreover, the coupler can be controlled by low frequency signals to avoid interference with microwave signals near the cavity or qubit frequencies. Finally, the coupling element introduces a 0.04 Hz/photon self-Kerr nonlinearity to the cavity, remaining linear in high photon number operations.

Parametric Study of Cavity IEMP Responses in a Cylinder by Coupling Monte Carlo Method and 3-D Electromagnetic Particle-in-Cell Method

Internal electromagnetic pulse generated inside a cavity, known as Cavity IEMP, would disturb or damage sensitive electronic systems inside a spacecraft when illuminated by transient X-rays. To ensure their normal operations, accurate prediction and analysis of Cavity IEMP responses are required. In this article, the physical phenomena involved in three-dimensional (3-D) Cavity IEMP problems are numerically studied, including the interaction process between X-rays and the cavity wall material and the self-consistent process involving the motion of electrons and the evolution of electromagnetic fields. The interaction process is simulated with the Monte Carlo method to obtain the actual emission characteristics of forward electrons emitted into a cavity, including their yields, energy, and angular spectra, while the self-consistent process is simulated with a proposed 3-D electromagnetic particle-in-cell method to solve electromagnetic fields generated inside a cavity, whose driving forces are forward electrons with the calculated emission characteristics. This method fully considers electrons with different energies and directions and their impacts on the generated electromagnetic fields. With such method, the electromagnetic field distribution inside a cylinder exposed to transient X-rays is discovered based on the actual emission characteristics of X-ray-induced forward electrons. Furthermore, as forward electron emission characteristics are determined by properties of X-rays and cavities, the impacts of the blackbody temperature in X-ray energy spectrum, the cylinder wall thickness, and the cylinder wall material on the intensity of generated electric fields are fully explored. Based on the results, several suggestions are given to protect electronic systems in cavities against the electromagnetic coupling from Cavity IEMP. The study would guide radiation hardening design of electronic systems in spacecraft.

On water-entry cavity evolution models and maneuvering motion of supercavitating vehicle

The maneuverability of supercavitating vehicles is significantly affected by disturbance from their control surfaces during the water-entry process. In this paper, experiments and simulations on cavity evolution models and vehicle dynamic characteristics are carried out to investigate the influence of the water-entry disturbance on the water-entry maneuvering motion process of supercavitating vehicles. In the water-entry experiment of medium speed projectiles based on the high speed photography, the shapes of cavity contours are extracted and the applicability of the cavity evolution models to the problem of water-entry maneuvering motion is verified. A kind of more correct prediction model of cavity shape is chosen by the comparison. A mathematical model on the water-entry maneuvering motions of vehicles is developed based upon certain simplifications, which makes an improvement on the three-dimensional cavity topology algorithm. Afterward, the simulations on the water-entry maneuvering motion of the vehicle are carried out, from which the real-time interaction between the vehicle and the cavity is extracted and the influence law of the fin deflection angle on the vehicle dynamic characteristics is analyzed. The influence mechanism of the desynchronization of fins' contacting water on the water-entry maneuvering motions of vehicles is revealed. It is found that the fin deflection angle of 10° is the most conducive to enhancing the vehicles' ability to stabilize their attitudes during water-entry maneuver by analyzing the fin efficiency and planning parameters.

Free convection of hybrid water/aluminum oxide-copper nanofluid in cubic cavity

Convective heat transfer is a physical phenomenon that continues to attract the interest of researchers in many fields of science and engineering. This work aims at numerically investigating the enhancement of heat transfer in a differentially heated three-dimensional cavity using a hybrid Al2O3-Cu-water nanofluid and Al2O3-water nanofluid. The partial differential equations are discretized in 3D by adopting the finite volume method and using the SIMPLEC algorithm for pressure correction. Heat transfer and fluid flow results are presented in the form of isotherms, velocity fields and mean Nusselt number. The results show that the effect of nanofluid and hybrid nanofluid on natural convection is more significant when the Rayleigh number is high. The use of hybrid nanofluid improves the heat transfer compared to nanofluid.