Simulation of central sloshing experiments with smoothed particle hydrodynamics (SPH) method

Abstract Liquid sloshing phenomena can be observed whenever a liquid in a container has an unrestrained surface and can be excited. A particular type of sloshing motion can occur during the core meltdown of a liquid metal cooled reactor (LMR) and can lead to a compaction of the fuel in the center of the core possibly resulting in energetic nuclear power excursions. This phenomenon was studied in series of “centralized sloshing” experiments with a central water column collapsing inside the surrounding cylindrical tank. These experiments provide data for a benchmark exercise for accident analysis codes. To simulate “centralized sloshing” phenomena, a numerical method should be capable to predict the motion of the free surface of a liquid, wave propagation and reflection from the walls. In this study, a meshless method based on smoothed particle hydrodynamics (SPH) for the simulation of a 3D free surface liquid motion has been developed. The proposed method is applied to the simulation of “centralized sloshing” experiments. Simulation results are compared with the experimental results as well as with results of computations performed with the 3D code SIMMER-IV which is an advanced reactor safety analysis code that implements the traditional mesh-based numerical method. In a series of numerical calculations it is shown that overall motion of the liquid is in a good agreement with experimental observations. Dependence on the initial and geometrical symmetry is studied and compared with experimental data.

[1]  J. Morris,et al.  Modeling Low Reynolds Number Incompressible Flows Using SPH , 1997 .

[2]  L. Lucy A numerical approach to the testing of the fission hypothesis. , 1977 .

[3]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[4]  Sylvain L. Pigny Academic validation of multi-phase flow codes , 2010 .

[5]  C. K. Thornhill,et al.  Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane , 1952, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[6]  Werner Maschek,et al.  Investigations of Sloshing Fluid Motions in Pools Related to Recriticalities in Liquid-Metal Fast Breeder Reactor Core Meltdown Accidents , 1992 .

[7]  A. Colagrossi,et al.  Numerical simulation of interfacial flows by smoothed particle hydrodynamics , 2003 .

[8]  Ted Belytschko,et al.  ON THE COMPLETENESS OF MESHFREE PARTICLE METHODS , 1998 .

[9]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[10]  J. Monaghan Simulating Free Surface Flows with SPH , 1994 .

[11]  Mohammad Javad Ketabdari,et al.  Simulation of waves group propagation and breaking in coastal zone using a Navier–Stokes solver with an improved VOF free surface treatment , 2008 .

[12]  K. Y. Lam,et al.  Constructing smoothing functions in smoothed particle hydrodynamics with applications , 2003 .

[13]  J. Monaghan On the problem of penetration in particle methods , 1989 .

[14]  S. Koshizuka,et al.  Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid , 1996 .

[15]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .

[16]  George Keith Batchelor,et al.  An Introduction to Fluid Dynamics. , 1969 .