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- W240140105 abstract "A structured radiative heat transfer code based on the standard discrete ordinates method has been extended to unstructured meshes in order to be coupled with a CFD code. The code has been specially written for unstructured grids using tetrahedrical cells, by trying to avoid complex adaptations that are time consuming. The mesh influence is studied for different cases. Results are compared with those obtained with an accurate method (ray tracing). In Computational Fluid Dynamics (CFD), the coupling between radiative heat transfer and combustion is based on the solution of the energy equation. The heat source term due to radiation is evaluated by taking into account the temperature and radiating species concentrations profiles, which are obtained from the solution of the aerothermochemistry equations. Among all the numer- ical methods developed to calculate the radiative heat transfer, the Finite Volume Method (FVM) and the Discrete Ordinates Method (DOM) offer a good compromise between accuracy and com- putational requirements. These two methods have been widely used to solve radiative transfer problems in structured three-dimensional geometries using Cartesian or cylindrical coordinates. In particular, the DOM, described by Chandrasekar in 1950 (1), has been deeply studied by Lath- rop and Carlson in 60-70's (2) and by Truelove, Fiveland and Jamaluddin in the 80's (3, 4, 5, 6, 7). Significant improvements have been achieved in the last decade aiming at the reduction of the ray effects and false scattering, more accurate quadratures and the extension to complex geometries (8, 9, 10). Nevertheless, the coupling between radiative transfer and other physical phenomena, such as combustion and fluid flow at high temperatures, requires the solution of the radiative trans- fer equation using the same grid employed to solve the other governing equations. Unstructured grids are often used in CFD owing to their geometrical flexibility. In this way, a lot of work has been developed during the last decade to apply the FVM to non-orthogonal structured grids and unstructured grids in three-dimensional enclosures (11, 12, 13, 14, 15). For the DOM application, Sakami and co-workers proposed an accurate but complex method for the spatial discretization by taking into account the exponential extinction (16, 17, 18). Liu et al. have used the step scheme, equivalent of the upwind scheme in CFD (14). A computer code using unstructured meshes and based on the modelling of radiative transfer using DOM, as well as accounting for non-grey gas radiation, has been developed aiming at a future coupling with a combustion code available at the C.E.R.F.A.C.S. in Toulouse. In this work, this radiative code is described and applied to several test cases for validation purposes. The results are compared with accurate solutions available in" @default.
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- W240140105 date "2003-04-15" @default.
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- W240140105 title "Application of the discrete ordinates method to grey media in complex geometries using unstructured meshes" @default.
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