TY - JOUR
T1 - A simple interface sharpening technique with a hyperbolic tangent function applied to compressible two-fluid modeling
AU - Nonomura, Taku
AU - Kitamura, Keiichi
AU - Fujii, Kozo
N1 - Funding Information:
T. Nonomura (first author) thanks for Prof. Shintaro Takeuchi of Osaka University who gave him the motivation of the idea presented in this paper. K. Kitamura (second author) is grateful to Dr. Meng-Sing Liou at NASA Glenn Research Center, Cleveland, and Dr. Chih-Hao Chang at Center for Risk Studies and Safety, University of California, Santa Barbara, for their continuous cooperation and valuable comments received since he was working with them at NASA Glenn as a Visiting Researcher from 2011 to 2012. This work is partially supported by KAKENHI ( 24656522 ) and ( 25820409 ), and Strategic Programs for Innovative Research (SPIRE) of High Performance Computing Initiative (HPCI) .
PY - 2014/2/1
Y1 - 2014/2/1
N2 - A simple interface sharpening technique based on hyperbolic tangent interpolation, which was proposed in the previous study [F. Xiao, Y. Honma, K. Kono, A simple algebraic interface capturing scheme using hyperbolic tangent function, Int. J. Numer. Methods Fluids 48 (2005) 1023-1040], is applied to the compressible two-fluid modeling. The implementation of this scheme is very simple: the interpolation of the volume fraction in the monotonicity-upwind-scheme-for-conservation-law (MUSCL) solver is just replaced by the hyperbolic tangent interpolation, while the MUSCL interpolations for other variables are maintained. This technique is limited for the region near the interface to prevent the spurious oscillations of a minor phase. The one-dimensional and two-dimensional problems are solved, and the results are compared with those of the original MUSCL solver. The results show that the interface is significantly sharpened with this technique, and its sharpness is well controlled by one parameter. In addition, the robustness of the scheme does not change with sharpening the interface in the range we investigated.
AB - A simple interface sharpening technique based on hyperbolic tangent interpolation, which was proposed in the previous study [F. Xiao, Y. Honma, K. Kono, A simple algebraic interface capturing scheme using hyperbolic tangent function, Int. J. Numer. Methods Fluids 48 (2005) 1023-1040], is applied to the compressible two-fluid modeling. The implementation of this scheme is very simple: the interpolation of the volume fraction in the monotonicity-upwind-scheme-for-conservation-law (MUSCL) solver is just replaced by the hyperbolic tangent interpolation, while the MUSCL interpolations for other variables are maintained. This technique is limited for the region near the interface to prevent the spurious oscillations of a minor phase. The one-dimensional and two-dimensional problems are solved, and the results are compared with those of the original MUSCL solver. The results show that the interface is significantly sharpened with this technique, and its sharpness is well controlled by one parameter. In addition, the robustness of the scheme does not change with sharpening the interface in the range we investigated.
KW - Interface sharpening method
KW - Multiphase compressible flow
KW - THINC scheme
KW - Two-fluid modeling
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U2 - 10.1016/j.jcp.2013.10.021
DO - 10.1016/j.jcp.2013.10.021
M3 - Article
AN - SCOPUS:84887354762
SN - 0021-9991
VL - 258
SP - 95
EP - 117
JO - Journal of Computational Physics
JF - Journal of Computational Physics
ER -