Direct numerical simulation of debris sedimentation using the immersed boundary-lattice Boltzmann method
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abstract
The prediction of sedimentation of the insulation debris in a water cavity is one of critical issues in the nuclear reactor safety (NRS) research field when considering the long-term behavior of emergency core (ECC) coolant during a loss of coolant accident (LOCA). In this study, we perform the direct numerical simulation of the sedimentation of rigid spherical particle using the direct-forcing immersed boundary method (IBM) under the lattice Boltzmann method (LBM) frame. In this method, the fluid and solid regions are solved using the two-relaxation-time lattice Boltzmann equation (TRT-LBE) and the solid transport equation with quaternions for the accurate rotation, respectively, and the interaction between solid and fluid is calculated by directly using the forcing term obtained from the IBM. In addition, a lubrication force model is included to describe the particle-particle and particle-wall collisions. The present method is first validated with the single spherical particle sedimentation problem, for which experimental data or correlations are available. It is then applied to sedimentation of multiple spherical particles. It is expected that the present method can be extended to the development of accurate and efficient numerical method for the fiber suspension problems.
