Academic literature on the topic 'Barnes Interpolation'
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Journal articles on the topic "Barnes Interpolation"
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Ozden, Hacer, Ismail Naci Cangul, and Yilmaz Simsek. "Multivariate Interpolation Functions of Higher-Orderq-Euler Numbers and Their Applications." Abstract and Applied Analysis 2008 (2008): 1–16. http://dx.doi.org/10.1155/2008/390857.
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The aim of this paper, firstly, is to construct generating functions ofq-Euler numbers and polynomials of higher order by applying the fermionicp-adicq-Volkenborn integral, secondly, to define multivariateq-Euler zeta function (Barnes-type Hurwitzq-Euler zeta function) andl-function which interpolate these numbers and polynomials at negative integers, respectively. We give relation between Barnes-type Hurwitzq-Euler zeta function and multivariateq-Eulerl-function. Moreover, complete sums of products of these numbers and polynomials are found. We give some applications related to these numbers and functions as well.
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Seaman, R. S. "Tuning the Barnes Objective Analysis Parameters by Statistical Interpolation Theory." Journal of Atmospheric and Oceanic Technology 6, no. 6 (December 1989): 993–1000. http://dx.doi.org/10.1175/1520-0426(1989)006<0993:ttboap>2.0.co;2.
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Majcen, Mario, Paul Markowski, Yvette Richardson, David Dowell, and Joshua Wurman. "Multipass Objective Analyses of Doppler Radar Data." Journal of Atmospheric and Oceanic Technology 25, no. 10 (October 1, 2008): 1845–58. http://dx.doi.org/10.1175/2008jtecha1089.1.
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Abstract This note assesses the improvements in dual-Doppler wind syntheses by employing a multipass Barnes objective analysis in the interpolation of radial velocities to a Cartesian grid, as opposed to a more typical single-pass Barnes objective analysis. Steeper response functions can be obtained by multipass objective analyses; that is, multipass objective analyses are less damping at well-resolved wavelengths (e.g., 8–20Δ, where Δ is the data spacing) than single-pass objective analyses, while still suppressing small-scale (<4Δ) noise. Synthetic dual-Doppler data were generated from a three-dimensional numerical simulation of a supercell thunderstorm in a way that emulates the data collection by two mobile radars. The synthetic radial velocity data from a pair of simulated radars were objectively analyzed to a grid, after which the three-dimensional wind field was retrieved by iteratively computing the horizontal divergence and integrating the anelastic mass continuity equation. Experiments with two passes and three passes of the Barnes filter were performed, in addition to a single-pass objective analysis. Comparison of the analyzed three-dimensional wind fields to the model wind fields suggests that multipass objective analysis of radial velocity data prior to dual-Doppler wind synthesis is probably worth the added computational cost. The improvements in the wind syntheses derived from multipass objective analyses are even more apparent for higher-order fields such as vorticity and divergence, and for trajectory calculations and pressure/buoyancy retrievals.
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Bashmachnikov, I., F. Neves, Â. Nascimento, J. Medeiros, I. Ambar, J. Dias, and X. Carton. "Temperature–salinity distribution in the northeastern Atlantic from ship and Argo vertical casts." Ocean Science 11, no. 2 (March 5, 2015): 215–36. http://dx.doi.org/10.5194/os-11-215-2015.
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Abstract. The present study defines new interpolation functions for hydrological data. These functions are applied to generate climatological maps of temperature–salinity distribution with a 25 m depth interval and a 30 km space interval (MEDTRANS data set). The data undergo rigorous initial data quality control, having passed several filtering procedures. The gridding is done on neutral density surfaces, which allows better representation of thermohaline fronts for the same gridding radius. The multi-pass Barnes optimum interpolation procedure with spatially variable size of the gridding window is used. The shape of the window accounts for the dominant along-isobath direction of water mass transport over steeply sloping topography. A local ratio of topographic to planetary β-effects is used to define the shape of the window as a function of the relative importance of the topographic influence. The N/f ratio is applied to account for the baroclinic compensation decay of the topographic influence on water mass transport with the distance from the bottom. The gridded fields are available at the website of the Centre of Oceanography of the University of Lisbon (http://co.fc.ul.pt/en/data). The MEDTRANS climatology gives more details of the distribution of water characteristics in the subtropical northeastern Atlantic than other alternative climatologies and is able to reproduce a number of dynamic features described in the literature: the acceleration in the meanders of the Azores current; the cyclonic gyre in the Gulf of Cadiz; and the splitting and separation of the Mediterranean Water (MW) outflow in two veins near the Gorringe and Galicia banks. Seasonal climatologies, computed for the warm (May–October) and cold (November–April) seasons, reveal stronger zonal extension of the upper ocean patterns during the warm season, as compared to the cold one.
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Bashmachnikov, I., F. Neves, A. Nascimento, J. Medeiros, I. Ambar, J. Dias, and X. Carton. "Detailed temperature–salinity distribution in the Northeast Atlantic from ship and Argo vertical casts." Ocean Science Discussions 11, no. 3 (June 11, 2014): 1473–517. http://dx.doi.org/10.5194/osd-11-1473-2014.
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Abstract. The present study defines new interpolation functions for hydrological data. These functions are applied to generate climatological maps of temperature–salinity distribution with 25 m depth interval and 30 km space interval (MEDTRANS data-set). The data underwent a rigorous data quality control, having passed several filtering procedures. The gridding was done on neutral density surfaces, which allows better representation of the relative intensity of thermohaline fronts for the same gridding radius. The gridding was done using multi-pass Barnes' Optimum Interpolation procedure with spatially variable size of the gridding window. The shape of the window accounted for topographic influence: the dominant along-slope direction of water mass transport. One of the new features was the use of a local ratio of topographic to planetary β-effects to define the shape of the window as a function of the relative importance of the topographic influence. The N/f ratio was used for simulation of the baroclinic decrease of the topographic influence on water mass transport with the distance from the bottom. The gridded fields are available at the web-site of the Center of Oceanography of the University of Lisbon (http://co.fc.ul.pt/en/data). The new MEDTRANS climatology gives more details to the distribution of water characteristics in the Subtropical Northeast Atlantic, in particular near the Iberian Peninsula. The geostrophic currents relative to the 1900 m reference level demonstrate the local circulation features, in good correspondence to the theory and to previous studies: the acceleration in the meanders of the Azores current; the cyclonic gyre in the Gulf of Cadiz; the splitting and separation of the Mediterranean Water outflow from the continental slope near the Gorringe and the Galicia banks. Those features are not reproduced by the alternative climatologies. Seasonal climatologies, computed for the warm (May–October) and cold (November–April) seasons, revealed stronger zonal extension of the upper ocean patterns during the warm season, as compared to the cold one. At the Iberian continental slope, the seasonality manifested itself in more saline and denser lower core of the Mediterranean Water during the warm season as compared to the cold season.
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França, Gutemberg Borges, Rosa Cristhyna de Oliveira Vieira Paes, Antônio Do Nascimento Oliveira, Bianca Couto Ruivo, and Angelo Sartori. "DAILY BLENDED MICROWAVE AND INFRARED SEA SURFACE TEMPERATURE COMPOSITION." Revista Brasileira de Geofísica 31, no. 2 (June 1, 2013): 317. http://dx.doi.org/10.22564/rbgf.v31i2.297.
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ABSTRACT. A simple system for daily cloud free sea surface temperature (SST) composition based on thermal AVHRR and microwave TMI data is presented in this paper. Barnes’ objective analysis is applied as an interpolator to merge these two data sources, which have different spatial and temporal resolutions in a daily SST composition and in a regular grid product. Three comparisons were carried out as follows. First, in situ SST (daily average) measurements from eleven PIRATA’s (Prediction and Research Moored Array in the Tropical Atlantic) buoys were compared. The correlation coefficients results varied from 0.89 to 0.99, and RMSE, MAE and MBE values have not exceeded 0.57 for period from 2002 to 2010. Second, comparisons between daily SST composition and average daily in situ SST collected from twenty three drifting buoys for the period from May 2008 to October 2010. The statistics results are 0.94, 0.25, 0.19 and − 0.002 for correlation, RMSE, MAE and MBE, respectively. Third, SST (daily average) time series generated by OSTIA project was compared. The temporal and spatial RMSE (considering the study area) values ranged from approximately 0.21◦C to 1.50◦C and its average was 0.47◦C for the period from April 1st 2006 to December 31st 2010. Besides, an investigation about the influence of the data homogenization in the SST interpolation is discussed. Validation results are quite consistent (with SST composition accuracy less than 1.0◦C). Thus, aiming to fulfill the numerical oceanographic model assimilation purposes and other oceanographic features studies, the developed SST product may be recommended as a candidate. Keywords: oceanography, objective analysis, satellites. RESUMO. Este trabalho apresenta uma metodologia para geração de composições diárias de temperatura da superfície do mar (TSM) sem contaminação de nuvens, baseada em dados termais do AVHRR e micro-ondas do TMI. A análise objetiva de Barnes é utilizada como interpolador para mesclar estas duas fontes de dados, que possuem diferentes resoluções espacias e temporais, e gerar uma composição diária de TSM em grade regular. Três tipos de comparações foram feitas com esta composição de TSM, conforme descrito a seguir. 1) Comparação com medidas in situ de TSM (média diária) de onze bóias do PIRATA. Os coeficientes de correlação variaram de 0,89 a 0,99, e os RMSE, MAE e MBE não excederam 0,57 para o período entre 2002 e 2010. 2) Comparação com medidas in situ de TSM (média diária) de vinte e três boias de deriva do PNBOIA para o período entre Maio de 2008 e Outubro de 2010. Os resultados das estatísticas foram: 0,94, 0,25, 0,19 e − 0,002 para a correlação, RMSE, MAE e MBE, respectivamente. 3) Comparação com uma série temporal de TSM gerados pelo projeto OSTIA. A faixa dos valores do RMSE (considerando a área de estudo) variou aproximadamente entre 0,21◦C e 1,50◦C e sua média foi de 0,47◦C para o período de 01 de Abril de 2006 a 31 de Dezembro de 2010. Uma investigação sobre a influência da homogeneização das diferentes fontes de dados antes do processo de interpolação é discutida. Os resultados da validação da TSM são consistentes (com uma acurácia menor que 1,0◦C). Palavras-chave: oceanografia, análise objetiva, satélites.
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Chubb, Thomas H., Michael J. Manton, Steven T. Siems, and Andrew D. Peace. "Evaluation of the AWAP daily precipitation spatial analysis with an independent gauge network in the Snowy Mountains." Journal of Southern Hemisphere Earth Systems Science 66, no. 1 (2016): 55. http://dx.doi.org/10.1071/es16006.
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The Bureau of Meteorology's Australian Water Availability Project (AWAP) daily precipitation analysis provides high resolution rainfall data by interpolating rainfall gauge data, but when evaluated against a spatially dense independent gauge network in the Snowy Mountains large systematic biases are identified. Direct comparisons with the gauge data in May–September between 2007 and 2014 reveal average root mean square errors of about 4.5 mm, which is slightly greater than the average daily precipitation amount, and the errors are larger for higher elevation gauges. A standard Barnes objective analysis is per-formed on the combined set of independent gauges and Bureau of Meteorology gauges in the region to examine the spatial characteristics of the differences. The largest differences are found on the western (windward) slopes, where the Barnes analysis is up to double the value of the AWAP analysis. These differences are attributed to a) the lack of Bureau of Meteorology gauges in the area to empirically represent the precipitation climatology, and b) the inability of the AWAP analysis to account for the steep topography exposed to the prevailing winds. At high elevation (>1400 m) the Barnes analysis suggests that the precipitation amount is about fifteen percent greater than that of the AWAP analysis, where the difficulties of measuring frozen precipitation likely have a large impact.
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Mei, Shu-Li. "Faber-Schauder Wavelet Sparse Grid Approach for Option Pricing with Transactions Cost." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/168630.
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Transforming the nonlinear Black-Scholes equation into the diffusion PDE by introducing the log transform ofSand(T−t)→τcan provide the most stable platform within which option prices can be evaluated. The space jump that appeared in the transformation model is suitable to be solved by the sparse grid approach. An adaptive sparse approximation solution of the nonlinear second-order PDEs was constructed using Faber-Schauder wavelet function and the corresponding multiscale analysis theory. First, we construct the multiscale wavelet interpolation operator based on the definition of interpolation wavelet theory. The operator can be used to discretize the weak solution function of the nonlinear second-order PDEs. Second, using the couple technique of the variational iteration method (VIM) and the precision integration method, the sparse approximation solution of the nonlinear partial differential equations can be obtained. The method is tested on three classical nonlinear option pricing models such as Leland model, Barles-Soner model, and risk adjusted pricing methodology. The solutions are compared with the finite difference method. The present results indicate that the method is competitive.
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Liston, Glen E., and Kelly Elder. "A Meteorological Distribution System for High-Resolution Terrestrial Modeling (MicroMet)." Journal of Hydrometeorology 7, no. 2 (April 1, 2006): 217–34. http://dx.doi.org/10.1175/jhm486.1.
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Abstract An intermediate-complexity, quasi–physically based, meteorological model (MicroMet) has been developed to produce high-resolution (e.g., 30-m to 1-km horizontal grid increment) atmospheric forcings required to run spatially distributed terrestrial models over a wide variety of landscapes. The following eight variables, required to run most terrestrial models, are distributed: air temperature, relative humidity, wind speed, wind direction, incoming solar radiation, incoming longwave radiation, surface pressure, and precipitation. To produce these distributions, MicroMet assumes that at least one value of each of the following meteorological variables are available for each time step, somewhere within, or near, the simulation domain: air temperature, relative humidity, wind speed, wind direction, and precipitation. These variables are collected at most meteorological stations. For the incoming solar and longwave radiation, and surface pressure, either MicroMet can use its submodels to generate these fields, or it can create the distributions from observations as part of a data assimilation procedure. MicroMet includes a preprocessor component that analyzes meteorological data, then identifies and corrects potential deficiencies. Since providing temporally and spatially continuous atmospheric forcing data for terrestrial models is a core objective of MicroMet, the preprocessor also fills in any missing data segments with realistic values. Data filling is achieved by employing a variety of procedures, including an autoregressive integrated moving average calculation for diurnally varying variables (e.g., air temperature). To create the distributed atmospheric fields, spatial interpolations are performed using the Barnes objective analysis scheme, and subsequent corrections are made to the interpolated fields using known temperature–elevation, wind–topography, humidity–cloudiness, and radiation–cloud–topography relationships.
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França, Gutemberg Borges, Rosa Cristhyna Paes, Antônio Nascimento Oliveira, Bianca Couto Ruivo, and Angelo Sartori Neto. "DAILY BLENDED MICROWAVE AND INFRARED SEA SURFACE TEMPERATURE COMPOSITION." Revista Brasileira de Geofísica 31, no. 2 (April 16, 2014). http://dx.doi.org/10.22564/rbgf.v31i2.21.
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A simple system for daily cloud free sea surface temperature (SST) composition based on thermal AVHRR and microwave TMI data is presented in this paper. Barnes’ objective analysis (Barnes, 1964) is applied as an interpolator to merge these two data sources, which have different spatial and temporal resolutions in a daily SST composition and in a regular grid product. Three comparisons were carried out as follows. First, in situ SST (daily average) measurements from eleven PIRATA´s buoys were compared. The correlation coefficients results varied from 0.89 to 0.99, and RMSE, MAE and MBE values have not exceeded 0.57 for period from 2002 to 2010. Second, comparisons between daily SST composition and average daily in situ SST collected from twenty three drifting buoys for the period from May 2008 to October 2010. The statistics results are 0.94, 0.25, 0.19 and -0.002 for correlation, RMSE, MAE and MBE, respectively. Third, SST (daily average) time series generated by OSTIA project was compared. The temporal and spatial RMSE (considering the study area) values ranged from approximately 0.21oC to 1.50oC and its average was 0.47oC for the period from January 1st to May 31st, 2006. Besides, an investigation about the influence of the data homogenization in the SST interpolation is discussed. Validation results are quite consistent (with SST composition accuracy less than 1.0oC). Thus, aiming to fulfill the numerical oceanographic model assimilation purposes and other oceanographic features studies, the developed SST product may be recommended as a candidate.
Dissertations / Theses on the topic "Barnes Interpolation"
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Velissariou, Vasilia. "Examination of the Barotropic Behavior of the Princeton Coastal Ocean Model in Lake Erie, Using Water Elevations From Gage Stations and Topex/Poseidon Altimeters." The Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1252401353.
Full textBooks on the topic "Barnes Interpolation"
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Pollack, Howard. The Boy Wonder of Broadway. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190458294.003.0003.
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After dropping out of Columbia, Latouche attempted to make his career on Broadway. One very early effort included contributions to the satire The Murder in the Old Red Barn. He also worked for a while as a press agent for the Ballet Russes de Monte Carlo. His work on Erika Mann’s Pepper Mill, which included adapting German texts and appearing on stage, marked his growing involvement with the refugee community. His transgressive cabaret songs established a following, but his first big break came with interpolations in the labor musical Pins and Needles.
Conference papers on the topic "Barnes Interpolation"
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Surampudi, R., and A. Gupta. "Application of Harmonic Shape Function in Finite Element Modal Analysis." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0484.
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Abstract Existing element types available in finite element codes typically utilize polynomial shape functions to define the displacement field in the problem of interest. The polynomial shape functions serve the purpose adequately in static analysis where the displacements and the stresses in a structure are of primary interest. These shape functions give rise to increasing inaccuracy for higher natural frequencies. It is shown that harmonic shape functions yield better results for the higher natural frequencies with same element count. Axial vibrations of bars and transverse vibrations of beams have been analyzed using harmonic shape functions. A comparative analysis has been made between results predicted by the harmonic interpolation functions and polynomial interpolation functions using same number of nodes.
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Hyungtae Kim, Eunjung Chae, and Joonki Paik. "Fisheye lens calibration using shifted lattice pattern and correction of barrel distortion using spatially adaptive interpolation." In 2014 International Conference on Control, Automation and Information Sciences (ICCAIS). IEEE, 2014. http://dx.doi.org/10.1109/iccais.2014.7020548.
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Hu, Changhong, Kangping Liao, and Wenyang Duan. "CFD Simulation of Flexible Ship in Regular Head Waves." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-11132.
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The ship springing is continuous vibration of the hull girder due to encountered wave excitation, which is considered as a typical fluid-structure interaction (FSI) problem. In this study, a CFD approach is proposed for modeling ship springing induced by large amplitude regular waves. In the CFD model, nonlinear free surface flows are solved by a finite difference method based on CIP (Constraint Interpolation Profile) method. Flexible structure is calculated using one dimensional finite element method by idealizing the ship structure as a beam. A volume weighted method, which is based on IB (Immersed Boundary) method, is applied to couple the FDM and the FEM. The proposed numerical model is validated against an experiment on a flexible barge in regular waves. Discussions are made on the numerical results.
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Kazemi, Hesaneh, Ashkan Vaziri, and Julián Norato. "Topology Optimization of Multi-Material Lattices for Maximal Bulk Modulus." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97370.
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Abstract In this paper, we present a method for multi-material topology optimization of lattice structures for maximum bulk modulus. Unlike ground structure approaches that employ 1-d finite elements such as bars and beams to design periodic lattices, we employ a 3-d representation where each lattice bar is described as a cylinder. To accommodate the 3-d bars, we employ the geometry projection method, whereby a high-level parametric description of the bars is smoothly mapped onto a density field over a fixed analysis grid. In addition to the geometric parameters, we assign a size variable per material to each bar. By imposing suitable constraints in the optimization, we ensure that each bar is either made exclusively of one of a set of a multiple available materials or completely removed from the design. These optimization constraints, together with the material interpolation used in our formulation, make it easy to consider any number of available materials. Another advantage of our method over ground structure approaches with 1-d elements is that the bars in our method need not be connected at all times (i.e., they can ‘float’ within the design region), which makes it easier to find good designs with relatively few design variables. We illustrate the effectiveness of our method with numerical examples of bulk modulus maximization for two-material lattices with orthotropic symmetry, and for two- and three-material lattices with cubic symmetry.
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Hyde, C. J., W. Sun, and T. H. Hyde. "A Novel Method for Obtaining the Multiaxiality Constant for Damage Mechanics Which is Appropriate to Crack Tip Conditions." In ASME 2011 Pressure Vessels and Piping Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/pvp2011-57166.
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Many engineering components, such as power plant steam pipes, aero-engine turbine discs, etc, operate under severe loading/temperature conditions for the majority of their service life. As a result, cracks can initiate and subsequently propagate over time due to creep. Damage mechanics is a robust method for the prediction of behaviour of components subjected to high temperature creep conditions and in particular, the Liu and Murakami model has proven to be a useful tool for the prediction of creep crack growth under such conditions. Previous methods for obtaining the constant of multiaxiality required for the use of such models, i.e. α, have relied upon the steady load testing of specimens designed to give a specific multiaxial stress-state, such as notched bars, and the failure time obtained. A series of results from finite element (FE) analyses based on the same geometry and loading/temperature conditions as the experiment, each performed with a different α-value, are then interpolated in order to identify the α-value which results in the same failure time, tf, as that of the experimental test. However, the stress-state present within such a specimen geometry (and therefore the α-value obtained) does not reflect the multiaxial severity of the stress state ahead of a crack tip. Therefore, for the application of the Liu and Murakami model to crack tip (i.e., creep crack growth) conditions, it follows that the α-value should be obtained from a multiaxial stress-state of equal severity to that to which it is to be applied, i.e. a crack tip. Therefore compact tension (CT) specimen creep crack growth data has been used in order to obtain the α-value. The process for the α-value determination is similar to that discussed for the notched bar, except that the interpolation of the time to failure is replaced with an interpolation of the time to a given crack length, ta. The resulting FE predictions based on CT and thumbnail crack specimen geometries, for a 316 stainless steel, are shown to be accurate in comparison to experimental results.
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Kovács, Attila, Ákos Horváth, Márta Horváth, Ildikó Szenthe, and Ferenc Gillemot. "Reconstituted Mini Tensile Specimens." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-84760.
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In order to evaluate the fracture toughness and Master Curve, the exact values of the tensile and yield strengths determined at the fracture toughness testing temperature are required. The fracture toughness should be measured around the T0 reference temperature to obtain valid results. Tensile properties — if exists — are generally measured at room temperature, and at the maximum operation temperature of the pressure vessel. If T0 reference temperature is different from these temperatures a correction formula is used for interpolation or extrapolation. Several times even no reliable tensile results are available, especially in the case of irradiated specimens. Use of irradiated Charpy remnants is a solution to produce tensile bars. A specific method has been developed to produce 12 pieces of flat 2*1 mm cross section tensile specimens made from one half Charpy specimens using stud weld reconstitution. The specimen cutting is made using thin molybdenum wire spark cutting. In order to do so difficulties of handling the small radioactive specimens needed to be solved, special grips were developed for the tensile machine to clamp the miniature tensile specimens. A laser extensometer was used to measure the strain and a video microscope was used to determine the cross section after the fracture without touching the specimen. The paper presents the results obtained on more than 200 irradiated small tensile specimens. These results had been compared to the old surveillance ones.