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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.244 SNIP: 0.434 CiteScore™: 0.7

ISSN Imprimer: 1940-2503
ISSN En ligne: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2017019001
pages 269-282

PERFORMANCE ANALYSIS OF DIFFERENT SOLVERS FOR COMPUTING THE RADIATIVE TRANSFER EQUATION IN COMPLEX GEOMETRIES USING FINITE VOLUME METHOD AND BLOCK STRUCTURED GRIDS

Flavia Cavalcanti Miranda
Institute of Energy and Power Plant Technology, TU Darmstadt, Darmstadt, Germany
F. di Mare
Department of Reactive Flows and Diagnostics, TU Darmstadt, Darmstadt, Germany
Amsini Sadiki
Institute of Energy and Power Plant Technology, Technische Universität Darmstadt, 64287 Darmstadt, Germany
Johannes Janicka
Institute of Energy and Power Plant Technology, TU Darmstadt, Jovanka-Bontschits-Strasse 2, 64287 Darmstadt, Germany; Darmstadt Graduate School of Excellence Energy Science and Engineering, TU Darmstadt, Jovanka-Bontschits-Strasse 2, 64287 Darmstadt, Germany

RÉSUMÉ

The finite volume method (FVM) is adopted to solve the radiative transfer equation in complex 3D geometries using block structured grids. In the standard solution algorithm, the discrete set of algebraic equations in the FVM is solved using the Gauss-Seidel method with the mesh sweeping algorithm. This algorithm gives an optimal order in which the control volumes are visited and the calculations are performed. However by dealing with radiation in industrial size problems and complex geometries, this procedure may not be the most efficient option to be employed. This paper investigates the performance of the sweeping algorithm and several other alternative solutions to point out the best strategy to be followed when dealing with heat radiation and large-scale industrial problems using FVM and block structured grids. For this purpose, a real combustion chamber with two block structured grids is studied after a successful verification on three simple tests. While a temperature distribution was fixed inside and at the boundaries of the chamber, the radiative heat source term was calculated and the computational time required for each solver was measured. The results show that the cyclic reduction method with SSOR preconditioner performs better than the sweeping algorithm for cases with black walls and slightly reflecting walls.


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