TY - JOUR
T1 - A new technique for freestream preservation of finite-difference WENO on curvilinear grid
AU - Nonomura, Taku
AU - Terakado, Daiki
AU - Abe, Yoshiaki
AU - Fujii, Kozo
N1 - Funding Information:
This work was supported by KAKENHI ( 24656522 ) and ( 25709009 ), Strategic Programs for Innovative Research (SPIRE) of High-Performance Computing Initiative (HPCI).
Publisher Copyright:
© 2014 .
PY - 2015/1/1
Y1 - 2015/1/1
N2 - A new technique for a finite-difference weighted essentially nonoscillatory scheme (WENO) on curvilinear grids to preserve freestream is introduced. This technique first divides the standard finite-difference WENO into two parts: (1) a consistent central difference part and (2) a numerical dissipation part. For the consistent central difference part, the conservative metric technique is directly adopted. For the numerical dissipation part, it is proposed that the metric term should be frozen for constructing the upwinding flux. This treatment only affects the numerical dissipation part, and the order of accuracy is maintained. With this technique, the freestream is perfectly preserved, and the flow fields are better resolved on wavy and random grids.
AB - A new technique for a finite-difference weighted essentially nonoscillatory scheme (WENO) on curvilinear grids to preserve freestream is introduced. This technique first divides the standard finite-difference WENO into two parts: (1) a consistent central difference part and (2) a numerical dissipation part. For the consistent central difference part, the conservative metric technique is directly adopted. For the numerical dissipation part, it is proposed that the metric term should be frozen for constructing the upwinding flux. This treatment only affects the numerical dissipation part, and the order of accuracy is maintained. With this technique, the freestream is perfectly preserved, and the flow fields are better resolved on wavy and random grids.
KW - Freestream preservation
KW - Geometric conservation law
KW - WENO
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U2 - 10.1016/j.compfluid.2014.09.025
DO - 10.1016/j.compfluid.2014.09.025
M3 - Article
AN - SCOPUS:84913597949
SN - 0045-7930
VL - 107
SP - 242
EP - 255
JO - Computers and Fluids
JF - Computers and Fluids
ER -