TY - JOUR
T1 - Solution of young–Laplace equation with finite-volume method and overlapped grid
AU - Zhang, Zeyi
AU - Wang, Liqiu
N1 - Funding Information:
ACKNOWLEDGMENT The financial support from the Research Grants Council of Hong Kong (GRF17237316, GRF 17211115, GRF17207914, GRF HKU717613E, and GRF HKU718111E) and the University of Hong Kong (URC 201511159108, 201411159074 and 201311159187) is gratefully acknowledged. The work is also supported in part by the Zhejiang Provincial, Hangzhou Municipal, and Lin’an County Governments. The first author also acknowledges the Hong Kong Ph.D. Fellowship Scheme funded by the Hong Kong Research Grants Council (RGC).
Publisher Copyright:
© 2018 WIT Press.
PY - 2018
Y1 - 2018
N2 - The Young–Laplace equation describes the stress balance between the interfacial tension and the gravitational body force. Its modified form can be applied to model the dynamics of the interface of the two-phase flow. It is analytically difficult to solve the Young–Laplace equation due to its strong non-linearity, in the form of the surface curvature and the implicit body force on the interface. This work aims to numerically solve the Young–Laplace equation with a finite-volume method (FVM) and an overlapped grid. The overlapped grid allocates the variable and its derivative together at every grid point, and is compared with the traditional staggered grid. The proposed overlapped grid can achieve fourth-order numerical accuracy, which is higher than the second-order accuracy of the staggered grid. Also, the overlapped grid, with full states defined at every grid point, offers convenience to the implementation of the boundary condition as well as the coupling of multi-physics.
AB - The Young–Laplace equation describes the stress balance between the interfacial tension and the gravitational body force. Its modified form can be applied to model the dynamics of the interface of the two-phase flow. It is analytically difficult to solve the Young–Laplace equation due to its strong non-linearity, in the form of the surface curvature and the implicit body force on the interface. This work aims to numerically solve the Young–Laplace equation with a finite-volume method (FVM) and an overlapped grid. The overlapped grid allocates the variable and its derivative together at every grid point, and is compared with the traditional staggered grid. The proposed overlapped grid can achieve fourth-order numerical accuracy, which is higher than the second-order accuracy of the staggered grid. Also, the overlapped grid, with full states defined at every grid point, offers convenience to the implementation of the boundary condition as well as the coupling of multi-physics.
KW - Finite-volume method
KW - Overlapped grid
KW - Young–laplace equation
UR - http://www.scopus.com/inward/record.url?scp=85064206411&partnerID=8YFLogxK
U2 - 10.2495/CMEM-V6-N1-11-22
DO - 10.2495/CMEM-V6-N1-11-22
M3 - Journal article
AN - SCOPUS:85064206411
SN - 2046-0546
VL - 6
SP - 11
EP - 22
JO - International Journal of Computational Methods and Experimental Measurements
JF - International Journal of Computational Methods and Experimental Measurements
IS - 1
ER -