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.

Authors:



References:
[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.