经济的高阶非结构网格方法：澄清和有效的FSR格式
Economically High-Order Unstructured-Grid Methods: Clarification and Efficient FSR Schemes
摘要：
在本文中，我们澄清了基于重建的离散计划的非结构化网格，并讨论其经济的高阶版本，它可以达到高阶精度在一定条件下，在很少的额外费用。澄清导致最经济的方法之一：通量和解决方案的重建（FSR）的方法，其中高度经济的计划可以构建的基础上扩展的卡帕计划结合经济的通量重建公式，达到五阶精度（六阶零耗散）时，网格是规则的。提出了各种经济的FSR格式，并通过数值实验验证了它们的形式精度阶。
英文摘要：
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.
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