论文标题
经济高阶的非结构式网格方法：澄清和有效的FSR方案
Economically High-Order Unstructured-Grid Methods: Clarification and Efficient FSR Schemes
论文作者
论文摘要
在本文中，我们澄清了基于重建的非结构化网格的离散化方案，并讨论了其经济高阶版本，这些版本可以在某些条件下以几乎没有额外的成本在某些条件下实现高阶精度。澄清导致了最经济的方法之一：Flux and-Solution-Sustruction（FSR）方法，可以根据扩展的Kappa-Scheme与经济的磁通重建公式相结合，在该方法中构建高度经济的方案，并在第五阶准确度（第六阶与零耗散）时，可以实现较高的通量。提出了各种经济的FSR方案，并通过数值实验来验证它们的形式准确性。
In this paper, we clarify reconstruction-based discretization schemes for unstructured grids and discuss their economically high-order versions, which can achieve high-order accuracy under certain conditions at little extra cost. The clarification leads to one of the most economical approaches: the flux-and-solution-reconstruction (FSR) approach, where highly economical schemes can be constructed based on an extended kappa-scheme combined with economical flux reconstruction formulas, achieving up to fifth-order accuracy (sixth-order with zero dissipation) when a grid is regular. Various economical FSR schemes are presented and their formal orders of accuracy are verified by numerical experiments.
