Simulation of Sloshing behavior using Moving Grid and Body Force Methods
The flow field and the motion of the free surface in an
oscillating container are simulated numerically to assess the numerical
approach for studying two-phase flows under oscillating conditions.
Two numerical methods are compared: one is to model the oscillating
container directly using the moving grid of the ALE method, and the
other is to simulate the effect of container motion using the oscillating
body force acting on the fluid in the stationary container. The
two-phase flow field in the container is simulated using the level set
method in both cases. It is found that the calculated results by the body
force method coinsides with those by the moving grid method and the
sloshing behavior is predicted well by both the methods. Theoretical
back ground and limitation of the body force method are discussed,
and the effects of oscillation amplitude and frequency are shown.
[1] K. Amano, R. Iwano and Y. Sibata, "Three-dimensional analysis method
for sloshing behavior and its application to FBRs," Nucl. Eng. Des.,
Vol.140, pp. 297-308, 1993.
[2] Y. W. Chang, D. C. Ma, J. Gvildys and W. K. Liu, "Seismic analysis of
LMR reactor tanks," Nucl. Eng. Des., Vol. 106, 19-33, 1988.
[3] M. Hirano and T. Tamakoshi,, "An analytical study on excitation of
nuclear-coupled thermal hydraulic instability due to seismically induced
resonance in BWR", Nucl. Eng. Des., vol. 162, pp. 307-315, 1996.
[4] Satou, A., 2010, Neutoron-coupled thermal hydraulic calculation of BWR
under seismic acceleration, Proc. Joint Int. Conf. on Supercomputing in
Nucl. Applications and Monte Carlo 2010.
[5] Liu, D., Lin, P., 2008, A numerical study of three-dimensional liquid
sloshing in tanks, J. Comp. Phys. 227, 3921-3939.
[6] Curadelli, O., Ambrosini, D., Mirasso, A., and Amani, M., 2010,
Resonant frequencies in an elevated spherical container partially filled
with water: FEM and measurement, J. Fluids and Struct. 26, 148-159.
[7] Okamoto, T., Kawahara, M., 1992, Two-dimensional sloshing analysis by
the arbitrary Lagrangian-Eulerian finite element methods. Strut. Eng.
/Earthquake Eng. 8, 207s-216s.
[8] Sussman, M., Smereka, P., 1997, Axisymmetric free boundary problems.
J. Fluid. Mech. 341, 269-294.
[9] Hirt, C.W., Amsden, A.A., Cook, J.L., 1974, An Arbitrary
Lagrangian-Eulerian Computing Method for All Flow Speeds. J. Comp.
Phys. 14. 227-253.
[10] Chang, Y.C., Hou, T.Y., Merriman, B., Osher, S., 1996, A level set
formulation of Eulerian interface capturing methods for incompressible
fluid flows, J. Comp. Phys. 124, 449-464.
[1] K. Amano, R. Iwano and Y. Sibata, "Three-dimensional analysis method
for sloshing behavior and its application to FBRs," Nucl. Eng. Des.,
Vol.140, pp. 297-308, 1993.
[2] Y. W. Chang, D. C. Ma, J. Gvildys and W. K. Liu, "Seismic analysis of
LMR reactor tanks," Nucl. Eng. Des., Vol. 106, 19-33, 1988.
[3] M. Hirano and T. Tamakoshi,, "An analytical study on excitation of
nuclear-coupled thermal hydraulic instability due to seismically induced
resonance in BWR", Nucl. Eng. Des., vol. 162, pp. 307-315, 1996.
[4] Satou, A., 2010, Neutoron-coupled thermal hydraulic calculation of BWR
under seismic acceleration, Proc. Joint Int. Conf. on Supercomputing in
Nucl. Applications and Monte Carlo 2010.
[5] Liu, D., Lin, P., 2008, A numerical study of three-dimensional liquid
sloshing in tanks, J. Comp. Phys. 227, 3921-3939.
[6] Curadelli, O., Ambrosini, D., Mirasso, A., and Amani, M., 2010,
Resonant frequencies in an elevated spherical container partially filled
with water: FEM and measurement, J. Fluids and Struct. 26, 148-159.
[7] Okamoto, T., Kawahara, M., 1992, Two-dimensional sloshing analysis by
the arbitrary Lagrangian-Eulerian finite element methods. Strut. Eng.
/Earthquake Eng. 8, 207s-216s.
[8] Sussman, M., Smereka, P., 1997, Axisymmetric free boundary problems.
J. Fluid. Mech. 341, 269-294.
[9] Hirt, C.W., Amsden, A.A., Cook, J.L., 1974, An Arbitrary
Lagrangian-Eulerian Computing Method for All Flow Speeds. J. Comp.
Phys. 14. 227-253.
[10] Chang, Y.C., Hou, T.Y., Merriman, B., Osher, S., 1996, A level set
formulation of Eulerian interface capturing methods for incompressible
fluid flows, J. Comp. Phys. 124, 449-464.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:57481", author = "Tadashi Watanabe", title = "Simulation of Sloshing behavior using Moving Grid and Body Force Methods", abstract = "The flow field and the motion of the free surface in an
oscillating container are simulated numerically to assess the numerical
approach for studying two-phase flows under oscillating conditions.
Two numerical methods are compared: one is to model the oscillating
container directly using the moving grid of the ALE method, and the
other is to simulate the effect of container motion using the oscillating
body force acting on the fluid in the stationary container. The
two-phase flow field in the container is simulated using the level set
method in both cases. It is found that the calculated results by the body
force method coinsides with those by the moving grid method and the
sloshing behavior is predicted well by both the methods. Theoretical
back ground and limitation of the body force method are discussed,
and the effects of oscillation amplitude and frequency are shown.", keywords = "Two-phase flow, simulation, oscillation, moving grid,body force", volume = "5", number = "7", pages = "1011-5", }