A sweeping algorithm of unstructured elements in discontinuous spectral element method for thermal radiation in irregular multidimensional geometries

A sweeping algorithm of unstructured elements in discontinuous spectral element method for thermal radiation in irregular multidimensional geometries

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The discontinuous spectral element method (DSEM) coupled with an element-by-element sweeping strategy is proposed as a solution to the radiative luau thank you cards transfer equation (RTE) for participating media in irregular geometries.In the solving processing, a spatial domain of RTE is discretized by unstructured meshes; an angular direction of RTE is discretized as a set of contrast angles by structured quadrilateral meshes.Then, both spatial domain and angular direction are coupling solved by DSEM.However, this coupling solution leads to a large-scale matrix problem.

To address this, the element-by-element sweeping strategy optimizes the ordering of unstructured spatial elements.Several examples here are provided to demonstrate the effectiveness of DSEM with the element-by-element sweeping strategy.Compared to the original sweep strategy, the element-by-element approach significantly improves calculation efficiency and reduces computational time.