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|Type:||Artigo de periódico|
|Title:||Gray radiative conductive 2D modeling using discrete ordinates method with multidimensional spatial scheme and non-uniform grid|
|Abstract:||The problem of radiation heat transfer coupled with other modes of heat transfer is important in many engineering applications. Some examples are the heat transfer in glass fabrication and in thermal isolation materials. The angular and spatial discretization of the radiative transport equation in the discrete ordinates method (DOM) plays an important role to obtain accurate numerical results. Two high order spatial discretization schemes are used and compared. One spatial discretization scheme is unidirectional and the other is multidimensional interpolating scheme. Different angular quadratures are selected and tested to obtain accurate results with less computational time. The radiative heat transport equation is solved using the conventional procedure of solution for DOM and the algorithm is validated by comparison with literature exact solutions for different two-dimensional cases. The radiative source term in the energy equation is computed from intensities field. The radiative conductive model is validated by comparison with test cases solutions from the literature. Non-uniform grids are implemented for multidimensional spatial scheme and the results are compared with the result of uniform grid showing agreement. Also, the non-uniform grids are tested in cases of high temperature gradients. To accelerate convergence an adequate relaxation factors in radiative heat transport equation and in energy equation are used. The method can be used to handle cases with reflecting boundaries. (C) 2005 Elsevier SAS. All rights reserved.|
discrete ordinates method
|Editor:||Elsevier France-editions Scientifiques Medicales Elsevier|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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