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Articoli di riviste sul tema "Solution depth"

Autore: Grafiati

Pubblicato: 4 giugno 2021

Ultima modifica: 1 febbraio 2022

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1

Jander, Kai, Lars Braubach, and Alexander Pokahr. "Practical Defense-in-depth Solution for Microservice Systems." Journal of Ubiquitous Systems and Pervasive Networks 11, no. 1 (May 1, 2019): 17–25. http://dx.doi.org/10.5383/juspn.11.01.003.

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2

Gojic, Gorana, Radovan Turovic, Dinu Dragan, Dusan Gajic, and Veljko Petrovic. "Automatic corrections of human body depth maps using deep neural networks." Serbian Journal of Electrical Engineering 17, no. 3 (2020): 285–96. http://dx.doi.org/10.2298/sjee2003285g.

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This paper presents an approach to correcting misclassified pixels in depth maps representing parts of the human body. A misclassified pixel is a pixel of a depth map which, incorrectly, has the ?background? value and does not accurately reflect the distance from the sensor to the body being scanned. A completely automatic, deep learning based solution for depth map correction is proposed. As an input, the solution requires a color image and a corresponding erroneous depth map. The input color image is segmented using deep neural network for human body segmentation. The extracted segments are

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3

Al‐Chalabi, M. "Parameter nonuniqueness in velocity versus depth functions." GEOPHYSICS 62, no. 3 (May 1997): 970–79. http://dx.doi.org/10.1190/1.1444203.

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Except for hypothetical cases that are never encountered in practice, the solution for the parameters of analytic velocity versus depth functions is inherently nonunique. This nonuniqueness means that there is no particular parameter combination that represents “the” solution. The average discrepancy between the observed velocity‐depth (or time‐depth) curve and the calculated function curve gives a measure of the degree of fit between the two curves. In the parameter space, within a given degree of fit that may be considered as the margin of tolerance for the particular problem in hand, every

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4

Caliskaner, Onder, and George Tchobanoglous. "Development and Solution of Depth Filtration Equation." Proceedings of the Water Environment Federation 2008, no. 13 (January 1, 2008): 3335–47. http://dx.doi.org/10.2175/193864708788732892.

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5

Acree, Steven D., Jill R. Acree, and Pradeep Talwani. "The Lake Keowee, South Carolina Earthquakes of February through July 1986." Seismological Research Letters 59, no. 2 (April 1987): 63–70. http://dx.doi.org/10.1785/gssrl.59.2.63.

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Abstract In the early morning of 13 February 1986, an earthquake with a duration magnitude (MD) of 3.2 rumbled through northwestern South Carolina. The event was centered near Lake Keowee in Oconee County in a region of prior low level seismicity. Approximately eighty aftershocks with magnitudes ranging from −1.0 to 2.0 were recorded during the next six days. The locations of five aftershocks were accurately determined, utilizing data from portable seismographs deployed in the epicentral area. Depths of the two earthquakes with a location quality of B or better were between 3 and 4 km. First m

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6

Hocking, G. C. "Bow flows with smooth separation in water of finite depth." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 35, no. 1 (July 1993): 114–26. http://dx.doi.org/10.1017/s033427000000730x.

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AbstractThe bow flow generated by a wide flat-bottomed ship moving in water of finite depth is examined. Solutions obtained using an integral equation technique are presented for a range of different depths and for a range of angles of the front of the bow. The solution for the limiting case of infinite Froude number is obtained as an integral, and numerical solutions are found for the nonlinear problem in which the Froude number is finite. Solutions with smooth separation are shown to exist for all values of Froude number greater than unity, for any bow slope.

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7

Kovač, Žarko, Trevor Platt, and Shubha Sathyendranath. "Sverdrup meets Lambert: analytical solution for Sverdrup’s critical depth." ICES Journal of Marine Science 78, no. 4 (March 10, 2021): 1398–408. http://dx.doi.org/10.1093/icesjms/fsab013.

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Abstract In his 1953 paper, Harald Sverdrup argued that the development of a spring bloom in the ocean depends on the juxtaposition of two depth horizons: the mixed-layer depth and the critical depth. Mixed-layer depth shallower than the critical depth favours phytoplankton growth in the layer and vice versa. However, mathematically, Sverdrup left the problem unsolved in the form of a transcendental equation. In spite of the high number of citations that this paper has garnered, the solution to this equation has not been found, until now. In this work, we present an analytical solution for the

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8

Shang, Haixin, Song Xu, Kuandi Zhang, and Luyou Zhao. "Explicit Solution for Critical Depth in Closed Conduits Flowing Partly Full." Water 11, no. 10 (October 13, 2019): 2124. http://dx.doi.org/10.3390/w11102124.

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Critical depth is an essential parameter for the design, operation, and maintenance of conduits. Circular, arched, and egg-shaped sections are often used in non-pressure conduits in hydraulic engineering, irrigation, and sewerage works. However, equations governing the critical depth in various sections are complicated implicit transcendental equations. The function model is established for the geometric features of multiple sections using the mathematical transform method and while considering non-dimensional parameters. Then, revised PSO algorithms are implemented in MATLAB, and the right so

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9

Dey, Subhasish. "CHEBYSHEV SOLUTION FOR CRITICAL DEPTH IN OPEN CHANNELS." ISH Journal of Hydraulic Engineering 6, no. 1 (January 2000): 20–24. http://dx.doi.org/10.1080/09715010.2000.10514661.

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10

Li, Jiaxing, Yongxin Yang, Bin Jia, Hui Huang, Biao Li, and Tao Wang. "GFRP erosion depth model under alkaline solution erosion." IOP Conference Series: Earth and Environmental Science 783, no. 1 (May 1, 2021): 012031. http://dx.doi.org/10.1088/1755-1315/783/1/012031.

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11

Schajer, Gary S., and Michael B. Prime. "Residual Stress Solution Extrapolation for the Slitting Method Using Equilibrium Constraints." Journal of Engineering Materials and Technology 129, no. 2 (July 20, 2006): 227–32. http://dx.doi.org/10.1115/1.2400281.

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Established methods for calculating residual stresses from the strains measured when using the slitting method give results for the stresses that exist within the depth range of the slit. Practical considerations typically limit this range to about 90–95% of the specimen thickness. Force and moment equilibrium can provide additional information that may be used to estimate the residual stresses in the “no-data” region within the remaining ligament beyond the maximum slit depth. Three different numerical methods to calculate the residual stress profile over the entire specimen thickness are inv

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12

Szmidt, Kazimierz, and Benedykt Hedzielski. "Nonlinear Interactions between Gravity Waves in Water of Constant Depth." Archives of Hydro-Engineering and Environmental Mechanics 62, no. 1-2 (June 1, 2015): 3–25. http://dx.doi.org/10.1515/heem-2015-0016.

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AbstractThe paper deals with interactions between water waves propagating in fluid of constant depth. In formulation of this problem, a nonlinear character of these interactions is taken into account. In particular, in order to simplify a solution to nonlinear boundary conditions at the free surface, a system of material coordinates is employed as independent variables in the description of the phenomenon. The main attention is focused on the transient solutions corresponding to fluid motion starting from rest. With respect to the initial value problem considered, we confine our attention to a

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13

Lu, Yan, Ryland B. Edwards, Shane Nho, Brian J. Cole, and Mark D. Markel. "Lavage Solution Temperature Influences Depth of Chondrocyte Death and Surface Contouring during Thermal Chondroplasty with Temperature-Controlled Monopolar Radiofrequency Energy." American Journal of Sports Medicine 30, no. 5 (September 2002): 667–73. http://dx.doi.org/10.1177/03635465020300050601.

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Background: Although radiofrequency energy can smooth and contour cartilage surface, it has deleterious effects on chondrocyte viability. Hypothesis: Monopolar thermal chondroplasty in a 37°C lavage solution, as compared with a 22° lavage solution, will reduce chondrocyte death and result in greater smoothing of the articular cartilage surface. Study Design: Controlled laboratory study. Methods: Sixteen chondromalacic samples from patients undergoing total knee arthroplasty were divided into two groups: 22°C and 37°C lavage solution. Each sample was divided into two equal parts and half of eac

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14

Lancioni, G., R. Bernetti, E. Quagliarini, and L. Tonti. "Effects of Underground Cavities on the Frequency Spectrum of Seismic Shear Waves." Advances in Civil Engineering 2014 (2014): 1–17. http://dx.doi.org/10.1155/2014/934284.

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A numerical method is proposed to study the scattering of seismic shear waves induced by the presence of underground cavities in homogeneous soils. The method is based on the superposition of two solutions: the solution of the free-wave propagation problem in a uniform half-space, easily determined analytically, and the solution of the wave scattering problem due to the cave presence, evaluated numerically by means of an ad hoc code implemented by using the ANSYS Parametric Design Language. In the two-dimensional setting, this technique is applied to the case of a single cave, placed at a cert

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15

Hoang Nam, Binh. "An approximate formula to calculate the critical depth in circular culvert." Transport and Communications Science Journal 71, no. 7 (September 30, 2020): 840–52. http://dx.doi.org/10.47869/tcsj.71.7.9.

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Critical depth is a depth of flow where a specific energy section is at a minimum value with a flow rate. Critical depth is an essential parameter in computing gradually varied flow profiles in open channels and in designing culverts. If cross-sections are rectangular or triangular, the critical depth can be computed by the governing equation. However, for other geometries such as trapezoidal, circular, it is totally difficult to find a solution, because the governing equations are implicit. Therefore, the approximate solution could be determined by trial, numerical or graphical methods. These

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16

Hoang Nam, Binh. "An approximate formula to calculate the critical depth in circular culvert." Transport and Communications Science Journal 71, no. 7 (September 30, 2020): 840–52. http://dx.doi.org/10.25073/tcsj.71.7.9.

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Critical depth is a depth of flow where a specific energy section is at a minimum value with a flow rate. Critical depth is an essential parameter in computing gradually varied flow profiles in open channels and in designing culverts. If cross-sections are rectangular or triangular, the critical depth can be computed by the governing equation. However, for other geometries such as trapezoidal, circular, it is totally difficult to find a solution, because the governing equations are implicit. Therefore, the approximate solution could be determined by trial, numerical or graphical methods. These

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17

Jia, Peng. "Research on Critical Cut Depth of Glass BK7 in Diamond Cutting." Materials Science Forum 770 (October 2013): 230–33. http://dx.doi.org/10.4028/www.scientific.net/msf.770.230.

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In diamond cutting of optical glasses, the magnitude of critical depth of cut for brittle-ductile transition is an important factor affecting the machinability of the work material in terms of production rate and surface quality. In this work, scratching tests with increasing depths of cut were conducted on glass BK7 to evaluate the influence of the cutting fluid properties on the critical depth of cut. Boric acid solutions of different concentrations were selected as cutting fluids in the tests. The resulting scratches were examined utilizing a white light interferometer and the values of the

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18

Jia, Peng. "Influence of Cutting Compound on Critical Cut Depth of Glass BK7." Key Engineering Materials 579-580 (September 2013): 97–100. http://dx.doi.org/10.4028/www.scientific.net/kem.579-580.97.

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In diamond cutting of optical glasses, the magnitude of critical depth of cut for brittle-ductile transition is an important factor affecting the machinability of the work material in terms of production rate and surface quality. In this work, scratching tests with increasing depths of cut were conducted on glass BK7 to evaluate the influence of the cutting fluid properties on the critical depth of cut. Boric acid solutions of different concentrations were selected as cutting fluids in the tests. The resulting scratches were examined utilizing a white light interferometer and the values of the

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19

Jia, Peng. "Indentation and Scratching Experimental Research on Brittle-Ductile Transition of Optical Glass SF6." Key Engineering Materials 589-590 (October 2013): 480–84. http://dx.doi.org/10.4028/www.scientific.net/kem.589-590.480.

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In diamond cutting of optical glasses, the magnitude of critical depth of cut for brittle-ductile transition is an important factor affecting the machinability of the work material in terms of production rate and surface quality. In this work, scratching tests with increasing depths of cut were conducted on glass BK7 to evaluate the influence of the cutting fluid properties on the critical depth of cut. Boric acid solutions of different concentrations were selected as cutting fluids in the tests. The resulting scratches were examined utilizing a white light interferometer and the values of the

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20

Zhou, Ming, Peng Jia, and Min Li. "Research on the Influence of Cutting Fluids on the Critical Depth of Cut in Diamond Cutting of Optical Glass BK7." Key Engineering Materials 431-432 (March 2010): 126–29. http://dx.doi.org/10.4028/www.scientific.net/kem.431-432.126.

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Abstract (sommario):

In diamond cutting of optical glasses, the magnitude of critical depth of cut for brittle-ductile transition is an important factor affecting the machinability of the work material in terms of production rate and surface quality. In this work, scratching tests with increasing depths of cut were conducted on glass BK7 to evaluate the influence of the cutting fluid properties on the critical depth of cut. Boric acid solutions of different concentrations were selected as cutting fluids in the tests. The resulting scratches were examined utilizing a white light interferometer and the values of the

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21

Abdelrahman, El‐Sayed M., and Hamdy I. Hassanein. "Shape and depth solutions from magnetic data using a parametric relationship." GEOPHYSICS 65, no. 1 (January 2000): 126–31. http://dx.doi.org/10.1190/1.1444703.

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We have developed a simple method to simultaneously determine the shape (shape factor) and the depth of a buried structure from magnetic data. The method is similar to Euler deconvolution, but it solves for shape and depth independently. The method involves using a relationship between the shape factor, the depth to the source, and a combination of observations at symmetric points with respect to the coordinate of the source center with a free parameter (graticule spacing). The relationship represents a parametric family of curves. For a fixed free parameter, the depth is determined for each s

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22

Tissot, Héloise, Giorgia Olivieri, Jean-Jacques Gallet, Fabrice Bournel, Mathieu G. Silly, Fausto Sirotti, and François Rochet. "Cation Depth-Distribution at Alkali Halide Aqueous Solution Surfaces." Journal of Physical Chemistry C 119, no. 17 (April 17, 2015): 9253–59. http://dx.doi.org/10.1021/jp512695c.

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23

Vatankhah, Ali R. "General Solution of Conjugate Depth Ratio (Power-Law Channels)." Journal of Irrigation and Drainage Engineering 143, no. 9 (September 2017): 06017009. http://dx.doi.org/10.1061/(asce)ir.1943-4774.0001224.

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24

Kontsevich, Leonid L. "Pairwise comparison technique: a simple solution for depth reconstruction." Journal of the Optical Society of America A 10, no. 6 (June 1, 1993): 1129. http://dx.doi.org/10.1364/josaa.10.001129.

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25

Wheeler, DM, and DC Edmeades. "Effect of depth and lime or phosphorus-fertilizer applications on the soil solution chemistry of some New Zealand pastoral soils." Soil Research 33, no. 3 (1995): 461. http://dx.doi.org/10.1071/sr9950461.

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Thirteen trails were sampled to investigate the effects of depth, or the surface application of lime and phosphorus (P) fertilizer, on solution composition. Soil solutions were extracted by centrifuge from field moist soils within 24 h of sampling. Solution Ca, Mg, Na and K, Al, Mn and Fe concentrations generally decreased and Al, Mn and Fe concentrations generally increased with depth; although exceptions occurred. The largest decrease occurred in the first 25-50 mm of soil. Higher solution Al concentrations occurred in a band at a depth of between 50 and 100 mm in some soils. Lime generally

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26

Rajab, M. D., and Akram Zahoor. "Tearing Modulus Analysis for Pipes Containing Constant Depth Internal Flaw." Journal of Engineering Materials and Technology 113, no. 1 (January 1, 1991): 156–61. http://dx.doi.org/10.1115/1.2903372.

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The pipe displacement and tearing modulus solutions are derived for pipes containing a uniform depth internal flaw under bending moment or axial loading. The tearing modulus solution is derived for both load control and displacement control conditions. These solutions are then used to construct critical stress curves for various flaw sizes for a carbon steel pipe. These curves are useful in predicting the onset of flaw growth instability. Critical stress curves can be similarly constructed for other materials and pipe geometries.

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27

Jensen, Elin A., Will Hansen, and Rune Brincker. "Engineering Solution for the Uniform Strength of Partially Cracked Concrete." Transportation Research Record: Journal of the Transportation Research Board 1919, no. 1 (January 2005): 16–22. http://dx.doi.org/10.1177/0361198105191900102.

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Significant computational resources are required to predict the remaining strength from numerical fracture analysis of a jointed plain concrete pavement that contains a partial depth crack. It is, therefore, advantageous when the failure strength can be adequately predicted with an engineering solution. Current engineering or closed-form solutions are based on the elastic effective crack approach with the fracture parameters toughness and critical crack tip opening of concrete. The solutions do not directly consider the effect of the distance to the boundary conditions (restrained slab length)

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28

Ghanimati, G. R., and P. M. Naghdi. "Oscillations over basins of variable depth." Journal of Fluid Mechanics 164 (March 1986): 359–81. http://dx.doi.org/10.1017/s0022112086002598.

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This paper is concerned with oscillations of a body of water in basins of variable depth, employing a system of linearized equations which can be obtained from the theory of a directed fluid sheet for an incompressible, homogeneous, inviscid fluid (Green & Naghdi 1976a, 1977). For free oscillations over a level bottom, an assessment of the range of validity of the linearized theory is made by an appropriate comparison with a corresponding well-known exact solution (Lamb 1932). This assessment indicates an ‘intermediate’ range of validity for the linearized theory not covered by usual class

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29

Bhupinderpal-Singh, M. J. Hedley, and S. Saggar. "In situ dynamics of recently allocated 14C in pasture soil and soil solution collected with Rhizon Soil Moisture Samplers." Soil Research 43, no. 5 (2005): 659. http://dx.doi.org/10.1071/sr04107.

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Information on the dynamics of recently photo-assimilated carbon (C) allocated to roots and root-derived exudates in soils is scarce and experimentally difficult to obtain. We used Rhizon Soil Moisture SamplersTM (RSMS) placed at different depths in soil (20, 40, 80, 120 mm) to monitor short-term dynamics of root and root-derived C at the root–soil interface after 14CO2 pulse-labelling of pasture cores. At the 20 mm depth, 14C activity in soil solution peaked within 2 h of 14CO2 application. The peak of 14C activity took longer to appear and slower to disappear with increased depth. Negligible

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30

Jiang, Li, Jianzhong Zhang, and Zhibing Feng. "A versatile solution for the gravity anomaly of 3D prism-meshed bodies with depth-dependent density contrast." GEOPHYSICS 82, no. 4 (July 1, 2017): G77—G86. http://dx.doi.org/10.1190/geo2016-0394.1.

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We have developed a generalized solution for computing the gravity anomalies of 3D irregular-mass bodies with complicated density-contrast variation. The 3D irregular-shaped bodies can be approximated flexibly by a collection of finite-juxtaposed right-rectangular prisms. The complicated density-contrast variation of each prism can be well-represented by a depth-dependent polynomial function. A novel analytic solution of gravity anomalies due to a right-rectangular prism with an arbitrary order of polynomial density-contrast function of depth is then derived. The solution is singularity free i

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Abdelrahman, El-Sayed M., and Khalid S. Essa. "Magnetic interpretation using a least-squares, depth-shape curves method." GEOPHYSICS 70, no. 3 (May 2005): L23—L30. http://dx.doi.org/10.1190/1.1926575.

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We have developed a least-squares approach to depth determination from residual magnetic anomalies caused by simple geologic structures. By normalizing the residual magnetic anomaly using three characteristic points and their corresponding distances on the anomaly profile, the problem of determining depth from residual magnetic anomalies has been transformed into finding a solution to a nonlinear equation of the form z = f(z). Formulas have been derived for spheres, horizontal cylinders, thin dikes, and contacts. The method is applied to synthetic data with and without random noise. We have al

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32

Samelson, R. M. "Time-Dependent Adjustment in a Simple Model of the Mid-Depth Meridional Overturning Cell." Journal of Physical Oceanography 41, no. 5 (May 1, 2011): 1009–25. http://dx.doi.org/10.1175/2010jpo4562.1.

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Abstract A recently proposed reduced-gravity model of the warm-water branch of the middepth meridional overturning circulation in a rectangular basin with a circumpolar connection is extended to include time dependence. The model describes the balance between gain of warm water through northward Ekman advection across the circumpolar current, loss of warm water through eddy fluxes southward across the current, net gain or loss of warm water through diabatic processes north of the current, and changes in the thickness of the warm-water layer. The steady solutions are the same as those found pre

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Dinvay, E., and N. Kuznetsov. "Modified Babenko’s Equation For Periodic Gravity Waves On Water Of Finite Depth." Quarterly Journal of Mechanics and Applied Mathematics 72, no. 4 (July 13, 2019): 415–28. http://dx.doi.org/10.1093/qjmam/hbz011.

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Summary A new operator equation for periodic gravity waves on water of finite depth is derived and investigated; it is equivalent to Babenko’s equation considered in Kuznetsov and Dinvay (Water Waves, 1, 2019). Both operators in the proposed equation are nonlinear and depend on the parameter equal to the mean depth of water, whereas each solution defines a parametric representation for a symmetric free surface profile. The latter is a component of a solution of the two-dimensional, nonlinear problem describing steady waves propagating in the absence of surface tension. Bifurcation curves (incl

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Abdelrahman, El‐Sayed M., Tarek M. El‐Araby, Hesham M. El‐Araby, and Eid R. Abo‐Ezz. "A new method for shape and depth determinations from gravity data." GEOPHYSICS 66, no. 6 (November 2001): 1774–80. http://dx.doi.org/10.1190/1.1487119.

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We have developed a simple method to determine simultaneously the shape and depth of a buried structure from residualized gravity data using filters of successive window lengths. The method is similar to Euler deconvolution, but it solves for shape and depth independently. The method involves using a relationship between the shape factor and the depth to the source and a combination of windowed observations. The relationship represents a parametric family of curves (window curves). For a fixed window length, the depth is determined for each shape factor. The computed depths are plotted against

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Mittet, Rune. "Perturbation approach to depth extrapolation." GEOPHYSICS 70, no. 1 (January 2005): S18—S29. http://dx.doi.org/10.1190/1.1852786.

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The Born-series solution of the Lippmann-Schwinger equation does not necessarily converge properly for depth-extrapolation problems. Even more seriously, the Lippmann-Schwinger equation is not necessarily self-consistent for depth extrapolation, unless it is interpreted correctly. A solution is proposed by using the generalized Lippmann-Schwinger equation that includes boundary value contributions that normally are ignored. A modified version of the Lippmann-Schwinger equation for depth extrapolation is obtained. The corrections to the Born-series expansion for depth extrapolation are demonstr

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Liu, Yang, Wen Jing Shang, Hong Fang Liu, and Zhi Gang Huang. "Effect of Annealing Temperature on Corrosion Resistance of Cold-Rolled Strip of Complex Brass." Applied Mechanics and Materials 184-185 (June 2012): 959–62. http://dx.doi.org/10.4028/www.scientific.net/amm.184-185.959.

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Using weight-loss method combined with metallographic to analysis the effect of annealing temperature (600°C, 640°C, 680°C) on the corrosion resistance of cold rolled strip of complex brass HAl72-2.5Al-1.0Ni alloy. Corrosive solutions for testing the corrosion velocity were 3.5% of the neutral sodium chloride solution, artificial acid rain (3.5% NaCl+H2SO4 solution) and artificial sweat solution. The research results show that the corrosion of cold rolled strip occurs easily because grains stretched along the direction of deformation and the existence of residual stress. The maximum corrosion

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Осадчук, С. А., Л. И. Ныркова та Ю. Ф. Фатеев. "ОСОБЕННОСТИ КАТОДНЫХ И АНОДНЫХ РЕАКЦИЙ НА УГЛЕРОДИСТОЙ СТАЛИ В ЗАВИСИМОСТИ ОТ ГЛУБИНЫ ПОГРУЖЕНИЯ В НЕЙТРАЛЬНЫЙ РАСТВОР". Bulletin of the Kyiv National University of Technologies and Design. Technical Science Series 138, № 5 (3 лютого 2020): 87–96. http://dx.doi.org/10.30857/1813-6796.2019.5.10.

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The investigation of the depth immersion of the specimens on corrosion rate of steel St3 in 3 % NaCl solution. Simulation of atmospheric corrosion (humid and wet) was performed by immersing of a steel sample by the size of (50×10×2) mm in a neutral solution of 3% NaCl at different depths. By leading the lower boundary of the working surface of the sample to the level of the solution (about 0 mm), humid corrosion was simulated, submerged to a depth of 2 mm (up to the upper boundary), wet corrosion, and 10 mm from the upper boundary - the electrolyte volume. The developed method allowed to carry

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CLAMOND, DIDIER. "Steady finite-amplitude waves on a horizontal seabed of arbitrary depth." Journal of Fluid Mechanics 398 (November 10, 1999): 45–60. http://dx.doi.org/10.1017/s0022112099006151.

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From shallow-water gravity wave theories it is shown that the velocity field in the whole fluid domain can be reconstructed using an analytic transformation (a renormalization). The resulting velocity field satisfies the Laplace equation exactly, which is not the case for shallow-water approximations. Applying the renormalization to the first-order shallow-water solution of limited accuracy, gives accurate simple solutions for both long and short waves, even for large amplitudes. The KdV and Airy solutions are special limiting cases.

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Kim, J. W., K. J. Bai, R. C. Ertekin, and W. C. Webster. "A Strongly-Nonlinear Model for Water Waves in Water of Variable Depth—The Irrotational Green-Naghdi Model." Journal of Offshore Mechanics and Arctic Engineering 125, no. 1 (February 1, 2003): 25–32. http://dx.doi.org/10.1115/1.1537722.

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Recently, the authors have derived a new approximate model for the nonlinear water waves, the Irrotational Green-Naghdi (IGN) model. In this paper, we first derive the IGN equations applicable to variable water depth, and then perform numerical tests to show whether and how fast the solution of the IGN model converges to the true solution as its level increases. The first example given is the steady solution of progressive waves of permanent form, which includes the small-amplitude sinusoidal wave, the solitary wave and the nonlinear Stokes wave. The second example is the run-up of a solitary

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40

An, Sangkyum, Keunhwa Lee, and Woojae Seong. "Optimal Operating Depth Search for Active Towed Array Sonar using Simulated Annealing." Defence Science Journal 69, no. 4 (July 15, 2019): 415–19. http://dx.doi.org/10.14429/dsj.69.13693.

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Abstract (sommario):

In an active towed array sonar, it is important to find the optimal operation depth. Generally, the optimal depth can be chosen via numerical simulations for all sonar depths and this imposes great burdens of time and cost.In this paper, an efficient approach is proposed to find the optimal depth using the optimisation technique. First, the sonar performance function is newly defined as a measure of how well the active sonar might perform. This function depends on the properties of the ocean environment and the positions of sonar and underwater target. Then, the simulated annealing to find an

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41

Bulatov, Vitaly, and Yury Vladimirov. "Generation of Internal Gravity Waves Far from Moving Non-Local Source." Symmetry 12, no. 11 (November 19, 2020): 1899. http://dx.doi.org/10.3390/sym12111899.

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Abstract (sommario):

We consider analytical solutions describing the generation of internal gravity waves far from a non-local source of disturbances. We suppose that the source moves on the surface of stratified medium of a finite depth. A model distribution of the non-local source shape with radial symmetry is used. This approximation correctly describes (qualitatively) the main spatiotemporal characteristics of natural sources of generation of internal gravity waves in the ocean. The resulting solution is the sum of wave modes. The solution is presented as a series of eigenfunctions of the spectral problem of i

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42

Shakhvorostov, D., W. N. Lennard, and P. R. Norton. "Analytical solution for depth scale calculations in Rutherford backscattering spectrometry." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 272 (February 2012): 18–22. http://dx.doi.org/10.1016/j.nimb.2011.01.024.

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43

Guo, Junke. "Exact Solution for Depth of Impact Crater into Granular Bed." Journal of Engineering Mechanics 144, no. 1 (January 2018): 06017018. http://dx.doi.org/10.1061/(asce)em.1943-7889.0001393.

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44

Jagielska-Wiaderek, Karina, Henryk Bala, and Tadeusz Wierzchon. "Corrosion depth profiles of nitrided titanium alloy in acidified sulphate solution." Open Chemistry 11, no. 12 (December 1, 2013): 2005–11. http://dx.doi.org/10.2478/s11532-013-0342-0.

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Abstract (sommario):

AbstractThick (400 µm) glow-discharge nitrided layers, TiN+Ti2N + αTi(N) type, have been produced on the Ti-1Al-1Mn titanium alloy. Using a progressive thinning method, the polarization characteristics at different depths of nitrided layers have been measured. From the plots of obtained potentiodynamic polarization curves the depth profiles of characteristic anodic and cathodic currents (at potentials corresponding to (a) hydride formation, (b) hydrogen evolution, (c) primary passivation, (d) oxygen evolution and (e) secondary passivation) as well as polarization resistance have been determine

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45

Sun, J. G. "Analysis of Pulsed Thermography Methods for Defect Depth Prediction." Journal of Heat Transfer 128, no. 4 (October 24, 2005): 329–38. http://dx.doi.org/10.1115/1.2165211.

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Abstract (sommario):

Pulsed thermography is an effective technique for quantitative prediction of defect depth within a specimen. Several methods have been reported in the literature. In this paper, using an analysis based on a theoretical one-dimensional solution of pulsed thermography, we analyzed four representative methods. We show that all of the methods are accurate and converge to the theoretical solution under ideal conditions. Three methods can be directly used to predict defect depth. However, because defect features that appear on the surface during a pulsed thermography test are always affected by thre

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46

Li, Dao Xi. "The Role of Dissolved CH₄ in Soil Solution in the CH₄ Emission from Water-Saving Irrigated Rice Fields." Applied Mechanics and Materials 148-149 (December 2011): 977–82. http://dx.doi.org/10.4028/www.scientific.net/amm.148-149.977.

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Abstract (sommario):

To examine how the dissolved CH4 in soil solution would affect the CH4 emission from rice field, fluxes of CH4 emission were measured by using a manually closed static chamber-gas chromatography method, and the dissolved CH4 in soil solution was obtained through shaking soil solutions, which were extracted from different paddy soil layers by a soil solution sampler with suction and pressure. The results show that the CH4 fluxes from rice fields and the concentration of dissolved CH4 in soil solution are both reduced significantly under the water-saving irrigation as compared to the traditional

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47

Soudki, Khaled A., Md Safiuddin, Paul Jeffs, Gary Macdonald, and Marcos Kroker. "CHLORIDE PENETRATION RESISTANCE OF CONCRETE SEALER AND COATING SYSTEMS." Journal of Civil Engineering and Management 21, no. 4 (March 30, 2015): 492–502. http://dx.doi.org/10.3846/13923730.2014.890659.

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Abstract (sommario):

This study investigated the chloride penetration resistance of a silane-based sealer (SS1), an acrylic-based coating (AC1), and two cementitious coatings (CC1 and CC2) when applied on concrete surface. Concrete powder samples were collected from 15, 30 and 45 mm depths of sealer and coating treated concrete prism specimens, which were exposed to H2O and de-icing solutions of NaCl, Geomelt S30, MgCl2 and CaCl2 for 100 freeze-thaw cycles followed by 25 wet-dry cycles. Chloride analysis was carried out to determine the total water-soluble chlorides of concrete. Test results revealed that the chlo

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48

Jin, Jian Ming. "Solutions for Axisymmetric Problems of Layered Generalized Gibson Subgrade." Applied Mechanics and Materials 574 (July 2014): 53–57. http://dx.doi.org/10.4028/www.scientific.net/amm.574.53.

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Abstract (sommario):

This article presents the solutions for displacements and stress of layered generalized Gibson subgrade subjected to an axisymmetric surface load. We assume that the material has constant Poisson’s ratios (μ=0.5), and its shear moduli varies linearly with depth. During the solutions, the Hankel transform in a cylindrical co-ordinate system is employed. The relationship between the solution and half-space solution is also examined and discussed. At last, the analysis flow is presented .

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Zhu, Guofu, and Jian-Hua Yin. "Consolidation of soil under depth-dependent ramp load." Canadian Geotechnical Journal 35, no. 2 (April 1, 1998): 344–50. http://dx.doi.org/10.1139/t97-092.

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Abstract (sommario):

This technical note presents a mathematical solution for the consolidation analysis of a soil layer with a change in vertical total stress that varies linearly with depth and time and then remains unchanged after a certain period of time. The solution is described in detail. Results are presented as figures and tables for practical applications.Key words: consolidation, pore-water pressure, average degree of consolidation, total stress, clay, soil.

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50

Dorodnitsyn, A. V. "Outflowing Envelopes From Stars at Arbitrary Optical Depths a New Approach to the Problem." Highlights of Astronomy 11, no. 1 (1998): 381. http://dx.doi.org/10.1017/s1539299600021316.

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Abstract (sommario):

We have considered a stationary outflowing envelope accelerated by the radiative force in arbitrary optical depth case. Introduced approximations provide satisfactory description of the behavior of the matter flux with partially separated radiation at arbitrary optical depths. The obtained systemof differential equations provides a continuous transition of the solution between optically thin and optically thick regions. We analytically derivedapproximate representation of the solution at the vicinity of the sonic point. Using this representation we numerically integrate the system of equations

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