TY - GEN
T1 - Fully-conservative high-order FR scheme on moving and deforming grids
AU - Abe, Yoshiaki
AU - Haga, Takanori
AU - Nonomura, Taku
AU - Fujii, Kozo
N1 - Publisher Copyright:
© 2015, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2015
Y1 - 2015
N2 - The appropriate procedure for constructing the symmetric conservative metric is presented with which both of the freestream preservation and global conservation proper- ties are satisfied in the high-order conservative flux-reconstruction scheme on a threedimensionally-curved moving and deforming grid. A freestream preservation test is con- ducted, where the freestream preservation and global conservation properties were demonstrated. The symmetric conservative metric constructed by the appropriate procedure preserves the freestream with regardless of the order of shape functions, while other metrics cannot always preserve the freestream. Also a convecting vortex is computed on three-dimensional wavy grids for Euler equations, and the vortex is better preserved when the symmetric conservative metric is appropriately constructed, while it is not when the order of the interpolation polynomial for the metrics is smaller than that for the solution polynomial.
AB - The appropriate procedure for constructing the symmetric conservative metric is presented with which both of the freestream preservation and global conservation proper- ties are satisfied in the high-order conservative flux-reconstruction scheme on a threedimensionally-curved moving and deforming grid. A freestream preservation test is con- ducted, where the freestream preservation and global conservation properties were demonstrated. The symmetric conservative metric constructed by the appropriate procedure preserves the freestream with regardless of the order of shape functions, while other metrics cannot always preserve the freestream. Also a convecting vortex is computed on three-dimensional wavy grids for Euler equations, and the vortex is better preserved when the symmetric conservative metric is appropriately constructed, while it is not when the order of the interpolation polynomial for the metrics is smaller than that for the solution polynomial.
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U2 - 10.2514/6.2015-2745
DO - 10.2514/6.2015-2745
M3 - Conference contribution
AN - SCOPUS:85088358901
SN - 9781624103667
T3 - 22nd AIAA Computational Fluid Dynamics Conference
BT - 22nd AIAA Computational Fluid Dynamics Conference
PB - American Institute of Aeronautics and Astronautics Inc, AIAA
T2 - 22nd AIAA Computational Fluid Dynamics Conference, 2015
Y2 - 22 June 2015 through 26 June 2015
ER -