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PARALLEL SOLUTION OF THE RADIATIVE TRANSFER EQUATION ON UNSTRUCTURED MESHES USING AN EXPLICIT SOLVER

DOI: 10.1615/ICHMT.2010.RAD-6.460
pages 33-35

G. Colomer
Termo Fluids S.L, Centre Tecnològic de Transferència de Calor (CTTC), Lab. Termotècnia i Energètica, Universitat Politècnica de Catalunya (UPC), C/Colom, 11, E08222 Terrassa, Spain

R. Borrell
Heat and Mass Transfer Technological Center (CTTC), Universitat Politecnica de Catalunya, Colom 11 08222 Terrassa, Spain; TermoFluids S.L, Av. Jacquard 97 08222, Barcelona, Spain

Assensi Oliva
Centre Tecnologic de Transferencia de Calor (CTTC), Universitat Politecnica de Catalunya (UPC), Colom 11, 08222 Terrassa, Barcelona, Spain

Abstract

Our goal is to solve the Radiative Transfer Equation on unstructured grids by using parallel computation. The spatial domain is divided into several parts, each one of which is assigned to a particular processor. The algorithm used is applicable on problems discretized by the finite volume method for the spatial part, and that use any method to perform the angular integrations, the most popular of which are the Discrete Ordinate Method (DOM) and the Finite Volume Method (FVM).
In structured grids, the solution of the RTE can be achieved by means of an explicit calculation of the intensity radiation field from previously calculated values in the cells that lie upstream in the solving direction. This approach yields to the solution in a highly efficient manner. This procedure can be generalized to make use of many processors, in an algorithm that is known as parallel sweep. As the efficiency of the explicit calculation can be maintained using the parallel sweep, this method has been preferred to the use of algebraic iterative solvers, which can also be efficiently parallelized.

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