Using a High-Order Spatial/Temporal Scheme and Grid Adaptation with a Finite-Volume Method for Radiative Heat Transfer

Abstract

In this work an algorithm using the finite-volume method along with a second-order-accurate spatial/temporal scheme and the h-refinement technique is evaluated in the parallelized computation of radiative heat transfer in absorbing-emitting and scattering gray media. The second-order spatial scheme is based on the reconstruction of radiative intensity's values, jointed with a slope limiter to maintain monotonicity. Additionally, the h-refinement method is incorporated to enrich targeted areas of the mesh during the solution procedure. The numerical results reveal the mitigation of false scattering and consequently the improvement of accuracy, employing these techniques in coarse unstructured hybrid grids.

Acknowledgments

Part of this work was funded by ELXIS Engineering Consultants S.A. and the EUROSTARS Project (E!5292), “Structural and Aerodynamic Design of TUNnels under Fire Emergency Conditions.”