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Relevant bibliographies by topics / Integral Transforms (GITT)

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Academic literature on the topic 'Integral Transforms (GITT)'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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Journal articles on the topic "Integral Transforms (GITT)"

1

Buligon, L., G. A. Degrazia, O. C. Acevedo, C. R. P. Szinvelski, and A. G. O. Goulart. "A semi-analytical solution for the mean wind profile in the Atmospheric Boundary Layer: the convective case." Atmospheric Chemistry and Physics Discussions 9, no. 5 (2009): 19817–44. http://dx.doi.org/10.5194/acpd-9-19817-2009.

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Abstract. A novel methodology to derive the average wind profile from the Navier-Stokes equations is presented. The development employs the Generalized Integral Transform Technique (GITT), which joints series expansions with Integral Transforms. The new approach provides a solution described in terms of the quantities that control the wind vector with height. Parameters, such as divergence and vorticity, whose magnitudes represent sinoptic patterns are contained in the semi-analytical solution. The results of this new method applied to the convective boundary layer are shown to agree with wind

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Buligon, L., G. A. Degrazia, O. C. Acevedo, C. R. P. Szinvelski, and A. G. O. Goulart. "A semi-analytical solution for the mean wind profile in the Atmospheric Boundary Layer: the convective case." Atmospheric Chemistry and Physics 10, no. 5 (2010): 2227–36. http://dx.doi.org/10.5194/acp-10-2227-2010.

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Abstract. A novel methodology to derive the average wind profile from the Navier-Stokes equations is presented. The development employs the Generalized Integral Transform Technique (GITT), which combines series expansions with Integral Transforms. The new approach provides a solution described in terms of the quantities that control the wind vector with height. Parameters, such as divergence and vorticity, whose magnitudes represent sinoptic patterns are contained in the semi-analytical solution. The results of this new method applied to the convective boundary layer are shown to agree with wi

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3

Silva, Elizeu Melo da, João N. N. Quaresma, Emanuel N. Macêdo, and Renato M. Cotta. "Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers." Journal of Hydrology and Hydromechanics 69, no. 3 (2021): 319–31. http://dx.doi.org/10.2478/johh-2021-0020.

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Abstract Analytical or hybrid numerical-analytical solutions based on the Generalized Integral Transform Technique (GITT) are obtained for the transient three-dimensional pumping problem of aquifers with a fully penetrating vertical well between two parallel streams. The problem formulation for confined and leaky aquifers allows for achieving exact analytical solutions through integral transforms, while the unconfined aquifer case introduces a fourth kind boundary condition which leads to a coupled transformed head ordinary differential system, that can be solved either analytically or numeric

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Cotta, Renato M., Carolina Palma Naveira-Cotta, and Diego C. Knupp. "Nonlinear eigenvalue problem in the integral transforms solution of convection-diffusion with nonlinear boundary conditions." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 3/4 (2016): 767–89. http://dx.doi.org/10.1108/hff-08-2015-0309.

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Purpose – The purpose of this paper is to propose the generalized integral transform technique (GITT) to the solution of convection-diffusion problems with nonlinear boundary conditions by employing the corresponding nonlinear eigenvalue problem in the construction of the expansion basis. Design/methodology/approach – The original nonlinear boundary condition coefficients in the problem formulation are all incorporated into the adopted eigenvalue problem, which may be itself integral transformed through a representative linear auxiliary problem, yielding a nonlinear algebraic eigenvalue proble

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5

Medeiros, Nielson Veloso, Emanuel Negrão Macêdo, Rui Nelson Otoni Magno, Claudio José Cavalcante Blanco, and João Nazareno Nonato Quaresma. "Integral transform solution for the analysis of hydrodynamic lubrication of thrust bearings." Industrial Lubrication and Tribology 69, no. 6 (2017): 1074–84. http://dx.doi.org/10.1108/ilt-08-2016-0187.

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Purpose The aim of this paper is related to an analysis of hydrodynamic lubrication of circular thrust bearings. Design/methodology/approach The modified Reynolds equation was treated to obtain a hybrid numerical-analytical solution through the generalized integral transform technique (GITT) for the problem. Findings Numerical results for the engineering parameters such as pressure field, load capacity and power consumption were thus produced as functions of the radial and circumferential directions. These parameters depend on the geometry of sector-shaped used: Rayleigh pad with 4, 8 and 16 s

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Fu, Guangming, Chen An, and Jian Su. "Integral transform solution of natural convection in a cylinder cavity with uniform internal heat generation." International Journal of Numerical Methods for Heat & Fluid Flow 28, no. 7 (2018): 1556–78. http://dx.doi.org/10.1108/hff-08-2017-0294.

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Purpose The purpose of this study is to propose the generalised integral transform technique to investigate the natural convection behaviour in a vertical cylinder under different boundary conditions, adiabatic and isothermal walls and various aspect ratios. Design/methodology/approach GITT was used to investigate the steady-state natural convection behaviour in a vertical cylinder with internal uniformed heat generation. The governing equations of natural convection were transferred to a set of ordinary differential equations by using the GITT methodology. The coefficients of the ODEs were de

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7

Machado, H. A., N. G. C. Leite, E. Nogueira, and H. Korzenowisk. "SOLUTION OF MULTIPHASE HEAT CONDUCTION PROBLEMS VIA THE GENERALIZED INTEGRAL TRANSFORM TECHNIQUE WITH DOMAIN CHARACTERIZATION THROUGH THE INDICATOR FUNCTION." Revista de Engenharia Térmica 15, no. 2 (2016): 53. http://dx.doi.org/10.5380/reterm.v15i2.62169.

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The Generalized Integral Transform Technique (GITT) has appeared in the literature as an alternative to conventional discrete numerical methods for partial differential equations in heat transfer and fluid flow. This method permits the automatic control of the error and is easy to program, since there is no need for a discretization. The method has being constantly improved, but there still a vast number of practical problems that has not being solved satisfactory. In several brands of engineering, the transport equations have to be solved for a combination of different phases or materials or

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Guigon, J. M. B. S., J. S. Pérez Guerrero, and R. M. Cotta. "COMPUTATIONAL OPTIMIZATION FOR INTEGRAL TRANSFORM ALGORITHMS APPLIED TO THE LID-DRIVEN CAVITY FLOW PROBLEM." Revista de Engenharia Térmica 6, no. 1 (2007): 104. http://dx.doi.org/10.5380/reterm.v6i1.61824.

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An analysis is presented of the computational optimization for integral transform algorithms using the streamfunction only formulation of the Navier-Stokes equations, as applied to the steady incompressible laminar flow of a Newtonian fluid in two-dimensional formulation. The classical lid-driven rectangular cavity flow problem is considered in order to revise the conventional development of the Generalized Integral Transform Technique (GITT). The GITT is applied transforming the partial differential equation into a system of coupled ordinary differential equations, which is numerically solved

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9

Neto, Reynaldo D'Alessandro. "UMA CONSTRUÇÃO HISTÓRICA DAS TÉCNICAS DA TRANSFORMADA INTEGRAL CLÁSSICA (CITT) E GENERALIZADA (GITT)." Boletim Cearense de Educação e História da Matemática 7, no. 20 (2020): 80–92. http://dx.doi.org/10.30938/bocehm.v7i20.2613.

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Estes resultados parciais de uma pesquisa de doutorado do Programa de Pós-Graduação em Educação Matemática da UNESP – Rio Claro, insere-se na linha de pesquisa Relações entre História e Educação Matemática e tem como objetivo descrever a evolução histórica que culmina na concepção da Técnica da Transformada Integral Clássica, e as motivações que levaram a sistematização do seu modelo generalizado. As técnicas têm como foco resolver Equações Diferenciais Parciais (EDP) a princípio não tratáveis pelas teorias clássicas, como o conhecido método da separação de variáveis. Pretendemos fazer uma con

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de, B. "An integral transform solution for unsteady compressible heat transfer in fluids near their thermodynamic critical point." Thermal Science 17, no. 3 (2013): 673–86. http://dx.doi.org/10.2298/tsci120826068d.

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The classical thermodynamic model for near critical heat transfer is an integral-differential equation with constant coefficients. It is similar to the heat equation, except for a source term containing the time derivative of the bulk temperature. Despite its simple form, analytical methods required the use of approximations to generate solutions for it, such as an approximate Fourier transformation or a numerical Laplace inversion. Recently, the Generalized Integral Transform Technique or GITT has been successfully applied to this problem, providing a highly accurate analytical solution for i

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