scholarly journals Computational Treatments of Cavitation Effects in Near-Free-Surface Underwater Shock Analysis

2001 ◽  
Vol 8 (2) ◽  
pp. 105-122 ◽  
Author(s):  
Michael A. Sprague ◽  
Thomas L. Geers
Keyword(s):  
Free Surface ◽  
Finite Elements ◽  
Plane Wave ◽  
Single Layer ◽  
Wave Radiation ◽  
Large Array ◽  
Shock Response ◽  
Underwater Shock ◽  
Wet Surface ◽  
Fundamental Limitation

Fluid cavitation constitutes an expensive computational nuisance in underwater-shock response calculations for structures at or just below the free surface. In order to avoid the use of a large array of cavitating acoustic finite elements (CAFE), various wet-surface approximations have been proposed. This paper examines the performance of two such approximations by comparing results produced by them for 1-D canonical problems with corresponding results produced by more rigorous CAFE computations. It is found that the fundamental limitation of wet-surface approximations is their inability to capture fluid-accretion effects. As an alternative, truncated CAFE fluid meshes with plane-wave radiation boundaries are shown to give good results. In fact, a single layer of CAFE is found to be comparable in accuracy to the better of the wet-surface approximations. The paper concludes with an examination of variations in CAFE modeling.

scholarly journals Asymmetric Diffraction in Plasmonic Meta-Gratings Using an IT-Shaped Nanoslit Array

Sensors ◽  
2021 ◽  
Vol 21 (12) ◽  
pp. 4097
Author(s):  
Hee-Dong Jeong ◽  
Seong-Won Moon ◽  
Seung-Yeol Lee
Keyword(s):  
Plane Wave ◽  
Periodic Structures ◽  
Single Layer ◽  
Optical Diffraction ◽  
Back Side ◽  
Infrared Band ◽  
Effective Period ◽  
Wave Nature ◽  
Control Light ◽  
Meta Atom

Diffraction is a fundamental phenomenon that reveals the wave nature of light. When a plane wave is transmitted or reflected from a grating or other periodic structures, diffracted light waves propagate at several angles that are specified by the period of the given structure. When the optical period is shorter than the wavelength, constructive interference of diffracted light rays from the subwavelength-scale grating forms a uniform plane wave. Many studies have shown that through the appropriate design of meta-atom geometry, metasurfaces can be used to control light properties. However, most semitransparent metasurfaces are designed to perform symmetric operation with regard to diffraction, meaning that light diffraction occurs identically for front- and back-side illumination. We propose a simple single-layer plasmonic metasurface that achieves asymmetric diffraction by optimizing the transmission phase from two types of nanoslits with I- and T-shaped structures. As the proposed structure is designed to have a different effective period for each observation side, it is either diffractive or nondiffractive depending on the direction of observation. The designed structure exhibits a diffraction angle of 54°, which can be further tuned by applying different period conditions. We expect the proposed asymmetric diffraction meta-grating to have great potential for the miniaturized optical diffraction control systems in the infrared band and compact optical diffraction filters for integrated optics.

Plane wave ℋ (curl; Ω) conforming finite elements for Maxwell's equations

2003 ◽  
Vol 31 (3) ◽  
pp. 272-283 ◽  
Author(s):  
P. D. Ledger ◽  
K. Morgan ◽  
O. Hassan ◽  
N. P. Weatherill
Keyword(s):  
Finite Elements ◽  
Plane Wave ◽  
Maxwell’S Equations ◽  
Maxwell's Equations

Refined Multilayered Plate Elements for Coupled Magneto‐Electro‐Elastic Analysis

2009 ◽  
Vol 5 (2) ◽  
pp. 119-138 ◽  
Author(s):  
M. Di Gifico ◽  
P. Nali ◽  
S. Brischetto
Keyword(s):  
Finite Elements ◽  
Kinematic Model ◽  
Single Layer ◽  
Laminated Plates ◽  
Governing Equations ◽  
Elastic Fields ◽  
Plate Elements ◽  
Plate Models ◽  
Multilayered Plates ◽  
Principle Of Virtual Displacements

Finite elements for the analysis of multilayered plates subjected to magneto‐electro‐elastic fields are developed in this work. An accurate description of the various field variables has been provided by employing a variable kinematic model which is based on the Unified Formulation, UF. Displacements, magnetic and electric potential have been chosen as independent unknowns. Equivalent single layer and layer‐wise descriptions have been accounted for. Plate models with linear up to fourth‐order distribution in the thickness direction have been compared. The extension of the principle of virtual displacements to magneto‐electro‐elastic continua has been employed to derive finite elements governing equations. According to UF these equations are presented in terms of fundamental nuclei whose form is not affected by kinematic assumptions. Results show the effectiveness of the proposed elements as well as their capability, by choosing appropriate kinematics, to accurately trace the static response of laminated plates subject to magneto‐electro‐elastic fields.

Subharmonic resonant interaction of a gravity–capillary progressive axially symmetric wave with a radial cross-wave

2019 ◽  
Vol 869 ◽  
pp. 439-467 ◽  
Author(s):  
Meng Shen ◽  
Yuming Liu
Keyword(s):  
Free Surface ◽  
Evolution Equation ◽  
Threshold Value ◽  
Resonant Interaction ◽  
The Body ◽  
Wave Radiation ◽  
Axially Symmetric ◽  
Damping Term ◽  
The Cross ◽  
Cross Waves

We theoretically investigate the problem of subharmonic resonant interaction of a progressive (axially symmetric) ring wave with a radial cross-wave in the context of the potential-flow formulation for gravity-capillary waves. The objective is to understand the nonlinear mechanism governing energy transfer from a progressive ring wave to its subharmonic cross-waves through triadic resonant interactions. We first show that for an arbitrary three-dimensional body floating in an unbounded free surface, there exists a set of homogeneous solutions at any frequency in the gravity-capillary wave context. The homogeneous solution depends solely on the mean free-surface slope at the waterline of the body and physically represents a progressive radial cross-wave. Unlike standing cross-waves, a progressive cross-wave loses energy during propagation by overcoming the work done by surface tension at the waterline and through wave radiation. We then consider the subharmonic interaction of a progressive ring wave, which is forced by a radial swelling–contraction deformation of a vertical circular cylinder, with subharmonic cross-waves. We derive the nonlinear spatial–temporal evolution equation governing the motion of the cross-wave by use of the average Lagrangian method. In addition to energy-input terms from the interaction with the forced ring wave, the evolution equation contains a damping term associated with energy loss in cross-wave propagation. We show that the presence of the damping term leads to a non-trivial threshold value of the ring wave steepness (or amplitude) beyond which the cross-wave becomes unstable and grows with time by taking energy from the ring wave. Finally, we extend this analysis to the experimental case of Tatsuno et al. (Rep. Res. Inst. Appl. Mech. Kyushu University, vol. 17, 1969, pp. 195–215) in which asymmetric wave patterns are observed during high-frequency vertical oscillations of a surface-piercing sphere. The theoretical prediction of the threshold value of oscillation amplitude and characteristic features of generated radial cross-waves agrees reasonably well with experimental observations.

scholarly journals The effect of vacancies and the substitution of p-block atoms on single-layer buckled germanium selenide

RSC Advances ◽  
2017 ◽  
Vol 7 (60) ◽  
pp. 37815-37822 ◽  
Author(s):  
F. Ersan ◽  
H. Arkin ◽  
E. Aktürk
Keyword(s):  
Density Functional Theory ◽  
Plane Wave ◽  
Point Defects ◽  
First Principles ◽  
Density Functional ◽  
Single Layer ◽  
Functional Theory ◽  
Germanium Selenide ◽  
Spin Polarized

This paper investigates the effect of point defects of both hole (Ge, Se) and substitution doping of p-block elements, in single-layer b-GeSe, based on first principles plane wave calculations within spin-polarized density functional theory.

Radiation Hydrodynamics of a Surface Effect Ship

2013 ◽  
Author(s):  
Palaniswamy Ananthakrishnan
Keyword(s):  
Free Surface ◽  
Large Amplitude ◽  
Small Amplitude ◽  
Stokes Equations ◽  
Surface Effect ◽  
Wave Radiation ◽  
Absolute Pressure ◽  
Radiation Hydrodynamics ◽  
Surface Effect Ship ◽  
Air Cushion

The radiation hydrodynamics of a heaving surface effect ship (SES) is examined including the effect of air compressibility on the hydrodynamic forces and surface waves. Of particular focus of the study has been on determining the nonlinear viscous and air compressibility effects at natural frequencies corresponding to the piston and sloshing wave modes between the hulls and at the natural frequency corresponding to the heave motion of a surface effect ship with the restoring force dominated by the compressibility of the air cushion. In the present paper, the air cushion pressure is assumed to be uniform with its variation due to change of volume modeled using the adiabatic gas law pVγ = constant, where p denotes the absolute pressure of the air, V the air volume bounded by the side hulls, the free surface and the wet deck, and γ the ratio of specific heats Cp/Cv which is about 1.4 for air. The incompressible Navier-Stokes equations governing the nonlinear viscous wave-air-body interaction problem is solved in the time domain using a finite-difference method based on boundary fitted coordinates. New results presented in this paper show that air cushion compressibility affects the generation of waves and wave radiation forces significantly even at small amplitude of hull motion. As already well known, the free surface nonlinearity due to hull motion is significant for large amplitude of oscillation. At small amplitude of body oscillation, significant nonlinearity can be caused by air compressibility resulting in the generation of higher harmonic waves and forces. The results also highlight the significance of viscosity and flow separation, in conjunction with air compressibility, in the case of large amplitude hull motion with a small draft.

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