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Development of A Hermite Weighted Compact Nonlinear Scheme based on the Two-Stage Fourth-Order Temporal Accurate Framework

Published 19 Apr 2022 in math.NA, cs.NA, and physics.flu-dyn | (2204.08823v1)

Abstract: Improved five-point low dissipation nonlinear schemes are proposed in this paper within the framework of weighted compact nonlinear schemes (WCNSs) \cite{Deng2000}. Particularly we follow the work of Li and Du \cite{Li2016} on the two-stage fourth-order temporal accurate discretization scheme, which is developed based on the Lax-Wendroff method.

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