Three-dimensional Simulation of Liquid Sloshing in an Elastic Tank

Sloshing in a liquid tank of huge size could potentially induce the structural vibration and fatigue damage. Though many numerous researches of sloshing have been conducted to characterize the impact phenomenon, the problem still remains to be addressed since the neglect of hydro-elastic behaviors of structure which will presence in the real phenomenon. In this paper a hybrid method has been developed to study the three-dimensional (3D) liquid sloshing with the consideration of structural elasticity. The improved moving particle semi-implicit (MPS) method is employed to simulate the evolution of 3D flow. The finite element method (FEM) is employed to calculate the vibration of the flexible tank wall. The MPS and FEM methods are coupled with a partition strategy within the fully Lagrangian system. Then, the sloshing in a 3D elastic tank is numerically investigated and results are compared with those corresponding to a 3D rigid tank. The effects of the structural elasticity on the sloshing behaviors are discussed.

[1]  Kohei Murotani,et al.  MPS–FEM PARTITIONED COUPLING APPROACH FOR FLUID–STRUCTURE INTERACTION WITH FREE SURFACE FLOW , 2014 .

[2]  Xiang Chen,et al.  Simulation of Dam-Break Flow Interaction with Elastic Gate by MPS-FEM Coupled Method , 2016 .

[3]  Eugenio Oñate,et al.  The particle finite element method: a powerful tool to solve incompressible flows with free‐surfaces and breaking waves , 2004 .

[4]  J. Małecki,et al.  Fluid–Structure Interaction Simulation , 2017 .

[5]  S. Yoshimura,et al.  Improved MPS-FE Fluid-Structure Interaction CoupledMethod with MPS PolygonWall Boundary Model , 2014 .

[6]  D. Wan,et al.  Numerical study of interactions between waves and free rolling body by IMPS method , 2017 .

[7]  V. F. González-Albuixech,et al.  Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería , 2016 .

[8]  K. Hsiao,et al.  A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams , 1999 .

[9]  D. Wan,et al.  Multi-Resolution MPS Method for Free Surface Flows , 2016 .

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

[11]  Pavel Ryzhakov,et al.  A modified fractional step method for fluid–structure interaction problems , 2017 .

[12]  Jun Li,et al.  Sloshing impact simulation with material point method and its experimental validations , 2014 .

[13]  G. Hou,et al.  Numerical Methods for Fluid-Structure Interaction — A Review , 2012 .

[14]  Decheng Wan,et al.  Comparative study of MPS method and level-set method for sloshing flows , 2014 .

[15]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[16]  Decheng Wan,et al.  Keynote: MPS-FEM Coupled Method for Interaction between Sloshing Flow and Elastic Structure in Rolling Tanks , 2016 .

[17]  M. Souli,et al.  Time marching for simulation of fluid–structure interaction problems , 2009 .

[18]  Mehrdad H. Farahani,et al.  A Fluid-Structure Interaction Simulation by Smoothed Particle Hydrodynamics , 2009, Eng. Lett..

[19]  Decheng Wan,et al.  Numerical Investigations of Waves Interacting with Free Rolling Body by Modified MPS Method , 2016 .

[20]  Hitoshi Gotoh,et al.  Enhancement of stability and accuracy of the moving particle semi-implicit method , 2011, J. Comput. Phys..

[21]  Changhong Hu,et al.  A coupled FDM–FEM method for free surface flow interaction with thin elastic plate , 2013 .

[22]  Dominique Chapelle,et al.  Coupling schemes for the FSI forward prediction challenge: Comparative study and validation , 2017, International journal for numerical methods in biomedical engineering.

[23]  Eugenio Oñate,et al.  Unified Lagrangian formulation for elastic solids and incompressible fluids: Application to fluid–structure interaction problems via the PFEM , 2008 .

[24]  Advances in the Particle Finite Element Method for Fluid-Structure Interaction Problems , 2006 .

[25]  Hitoshi Gotoh,et al.  Enhancement of performance and stability of MPS mesh-free particle method for multiphase flows characterized by high density ratios , 2013, J. Comput. Phys..

[26]  Hitoshi Gotoh,et al.  Comparative study on accuracy and conservation properties of two particle regularization schemes and proposal of an optimized particle shifting scheme in ISPH context , 2017, J. Comput. Phys..

[27]  Kamal Djidjeli,et al.  Coupling MPS and Modal Superposition Method for Flexible Wedge Dropping Simulation , 2015 .

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

[29]  Min-Cheol Ryu,et al.  Numerical simulation of impact loads using a particle method , 2010 .