Economically high?order unstructured?grid methods: Clarification and efficient FSR schemes

نویسندگان

چکیده

In this paper, we clarify reconstruction-based discretization schemes for unstructured grids and discuss their economically high-order versions, which can achieve accuracy under certain conditions at little extra cost. The clarification leads to one of the most economical approaches: flux-and-solution-reconstruction (FSR) approach, where highly be constructed based on an extended kappa-scheme combined with flux reconstruction formulas, achieving up fifth-order (sixth-order zero dissipation) when a grid is regular. Various FSR are presented formal orders verified by numerical experiments.

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ژورنال

عنوان ژورنال: International Journal for Numerical Methods in Fluids

سال: 2021

ISSN: ['1097-0363', '0271-2091']

DOI: https://doi.org/10.1002/fld.5028