Conservative high-order flux-reconstruction schemes on moving and deforming grids

• DOI: 10.1016/j.compfluid.2016.03.024
• Publication Date: 2016-04-04T14:26:28Z
• Authors: Yoshiaki Abe; Takanori Haga; Taku Nonomura; Kozo Fujii
• Keywords: Geometric conservation law; Moving grids; Conservative metrics; 0103 physical sciences; Freestream preservation; High-order unstructured scheme; Flux reconstruction; 01 natural sciences; Engineering(all); Computer Science(all)

An appropriate procedure to construct symmetric conservative metrics is presented for the high-order flux-reconstruction scheme on three-dimensionally moving and deforming grids. The present framework enables direct discretization of strong conservation form governing equations without any errors in freestream preservation global properties. We demonstrate that a straightforward implementation often fails metric polynomials having same order as solution polynomial, which severely degrades numerical accuracy. On other hand, constructed using an can preserve regardless shape functions. Moreover, convecting vortex more accurately computed property also demonstrated numerically