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.

翻译：在本文中,我们澄清了以重建为基础的非结构化电网离散计划,并讨论了其经济高档版本,这些版本在某些条件下可以以少量额外费用达到高级准确性。澄清导致采取最经济的方法之一:通量和溶解重建(FSR)方法,在这种方法的基础上,可以根据扩展的卡帕-电路与经济通量重建公式相结合的高度经济化计划,在电网正常时达到最高至第五级的准确性(第六级为零散位),提出了各种经济的FSR计划,并通过数字实验核实其正式的准确性命令。