On the Numerical Approach for Simulating Thermal Hydraulics under Seismic Condition
The two-phase flow field and the motion of the free
surface in an oscillating channel are simulated numerically to assess
the methodology for simulating nuclear reacotr thermal hydraulics
under seismic conditions. Two numerical methods are compared: one
is to model the oscillating channel directly using the moving grid of
the Arbitrary Lagrangian-Eulerian method, and the other is to simulate
the effect of channel motion using the oscillating acceleration acting
on the fluid in the stationary channel. The two-phase flow field in the
oscillating channel is simulated using the level set method in both
cases. The calculated results using the oscillating acceleration are
found to coinside with those using the moving grid, and the theoretical
back ground and the limitation of oscillating acceleration are discussed.
It is shown that the change in the interfacial area between liquid and
gas phases under seismic conditions is important for nuclear reactor
thermal hydraulics.
[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, 1993, pp. 297-308
[2] Y. W. Chang, D. C. Ma, J. Gvildys and W. K. Liu, "Seismic analysis of
LMR reactor tanks," Nucl. Eng. Des., Vol. 106, 1988, pp. 19-33.
[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, 1996, pp. 307-315.
[4] A. Satou, Neutoron-coupled thermal hydraulic calculation of BWR
under seismic acceleration, Proc. Joint Int. Conf. on Supercomputing in
Nucl. Applications and Monte Carlo 2010.
[5] D., Liu and P., Lin, A numerical study of three-dimensional liquid
sloshing in tanks, J. Comp. Phys. 227, 2008, pp. 3921-3939.
[6] O., Curadelli,, D., Ambrosini, A., Mirasso, and M. Amani,, Resonant
frequencies in an elevated spherical container partially filled with
water:FEM and measurement, J. Fluids and Struct. 26, 2010, pp.
148-159.
[7] M. Sussman, M. and P. Smereka,, Axisymmetric free boundary
problems. J. Fluid. Mech. 341, 1997, pp. 269-294.
[8] C.W. Hirt, A. A. Amsden, and J.L. Cook, An Arbitrary
Lagrangian-Eulerian Computing Method for All Flow Speeds. J. Comp.
Phys. 14. 1974, pp. 227-253.
[9] Y. C. Chang, T. Y. Hou, B. Merriman, and S. Osher, A level set
formulation of Eulerian interface capturing methods for incompressible
fluid flows, J. Comp. Phys. 124, 1996, pp. 449-464.
[10] T.Watanabe, "Simulation of sloshing behavior using moving grid and
body force methods," World Academy of Science, Engineering and
Technology, 79, 2011, pp.638-643
[11] T.Watanabe, "Numerical simulation of droplet flows and evaluation of
interfacial area," ASME J. Fluids Engineering, 124, 2002, pp576-583.
[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, 1993, pp. 297-308
[2] Y. W. Chang, D. C. Ma, J. Gvildys and W. K. Liu, "Seismic analysis of
LMR reactor tanks," Nucl. Eng. Des., Vol. 106, 1988, pp. 19-33.
[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, 1996, pp. 307-315.
[4] A. Satou, Neutoron-coupled thermal hydraulic calculation of BWR
under seismic acceleration, Proc. Joint Int. Conf. on Supercomputing in
Nucl. Applications and Monte Carlo 2010.
[5] D., Liu and P., Lin, A numerical study of three-dimensional liquid
sloshing in tanks, J. Comp. Phys. 227, 2008, pp. 3921-3939.
[6] O., Curadelli,, D., Ambrosini, A., Mirasso, and M. Amani,, Resonant
frequencies in an elevated spherical container partially filled with
water:FEM and measurement, J. Fluids and Struct. 26, 2010, pp.
148-159.
[7] M. Sussman, M. and P. Smereka,, Axisymmetric free boundary
problems. J. Fluid. Mech. 341, 1997, pp. 269-294.
[8] C.W. Hirt, A. A. Amsden, and J.L. Cook, An Arbitrary
Lagrangian-Eulerian Computing Method for All Flow Speeds. J. Comp.
Phys. 14. 1974, pp. 227-253.
[9] Y. C. Chang, T. Y. Hou, B. Merriman, and S. Osher, A level set
formulation of Eulerian interface capturing methods for incompressible
fluid flows, J. Comp. Phys. 124, 1996, pp. 449-464.
[10] T.Watanabe, "Simulation of sloshing behavior using moving grid and
body force methods," World Academy of Science, Engineering and
Technology, 79, 2011, pp.638-643
[11] T.Watanabe, "Numerical simulation of droplet flows and evaluation of
interfacial area," ASME J. Fluids Engineering, 124, 2002, pp576-583.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:57611", author = "Tadashi Watanabe", title = "On the Numerical Approach for Simulating Thermal Hydraulics under Seismic Condition", abstract = "The two-phase flow field and the motion of the free
surface in an oscillating channel are simulated numerically to assess
the methodology for simulating nuclear reacotr thermal hydraulics
under seismic conditions. Two numerical methods are compared: one
is to model the oscillating channel directly using the moving grid of
the Arbitrary Lagrangian-Eulerian method, and the other is to simulate
the effect of channel motion using the oscillating acceleration acting
on the fluid in the stationary channel. The two-phase flow field in the
oscillating channel is simulated using the level set method in both
cases. The calculated results using the oscillating acceleration are
found to coinside with those using the moving grid, and the theoretical
back ground and the limitation of oscillating acceleration are discussed.
It is shown that the change in the interfacial area between liquid and
gas phases under seismic conditions is important for nuclear reactor
thermal hydraulics.", keywords = "Two-phase flow, simulation, seismic condition,
moving grid, oscillating acceleration, interfacial area", volume = "6", number = "3", pages = "291-6", }