A review of flux reconstruction or correction procedure via reconstruction method for the Navier-Stokes equations

By Zhijian Wang, Hung T. Huynh. 2016

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Computational Fluid Dynamics (CFD) methods that are third-order accurate or higher are generally considered high-order methods in the aerospace community. These methods have the potential of yielding accurate CFD solutions in a more efficient manner than first or second-order ones. High-order methods include the popular discontinuous Galerkin (DG) as well as the spectral volume (SV), spectral difference (SD), and PnPm or hybrid DG/finite volume methods. Recently, the flux reconstruction (FR) or correction procedure via reconstruction (CPR) method provides a unifying framework for existing methods including the above mentioned DG, SV, SD as well as new ones with various accuracy and stability properties. This paper provides a review of recent FR/CPR developments together with sample applications and pacing items.

Subfields: Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/79b75e82f0fe60332ee1984acc8a997978a29cc4