An enriched hybrid high-order method for the Stokes problem with application to flow around submerged cylinders.
CoRR(2023)
摘要
An enriched hybrid high-order method is designed for the Stokes equations of
fluid flow and is fully applicable to generic curved meshes. Minimal regularity
requirements of the enrichment spaces are given, and an abstract error analysis
of the scheme is provided. The method achieves consistency in the enrichment
space and is proven to converge optimally in energy error. The scheme is
applied to 2D flow around circular cylinders, for which the local behaviour of
the velocity and pressure fields are known. By enriching the local spaces with
these solutions, superior numerical results near the submerged cylinders are
achieved.
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