4 Conclusions
In this study, we developed and verified the Explicitly Represented Polygon
(ERP) wall boundary model for the E-MPS method. It can deal with arbitrarily
shaped boundaries and movements, and it can accurately impose boundary conditions for free-surface flow analysis.
The ERP model is formulated so as to satisfies the pressure Neumann boundary
condition and the slip/no-slip boundary condition, without requiring the generation
of virtual particles or treating angled edges as exceptional cases.
For verification of the proposed model, we conducted simulations for a hydrostatic pressure problem. The results were compared with the theoretical values and
the results of other models. We confirmed that the boundary conditions of the ERP
method were appropriately modeled, and the E-MPS method with the ERP model
can achieve adequate accuracy.
Now, we have been developing a more accurate and robust MPS-FE method
applying the ERP model, and a large-scale parallel MPS-FE analysis system using
the large-scale parallel code for the E-MPS method (HDDM_EMPS [12, 13]) and
FEM (ADVENTURE_Solid [14, 15]). This system makes it possible to conduct
robust simulations of three-dimensional fluid-structure interaction. An example is
shown in Fig. 4, which is a three-dimensional simulation of dam break and an
elastic column with constraints on the bottom surface.
Fig. 4 Example of three-dimensional FSI simulation using the MPS-FE method
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N. Mitsume et al.
In this study, we developed and verified the Explicitly Represented Polygon
(ERP) wall boundary model for the E-MPS method. It can deal with arbitrarily
shaped boundaries and movements, and it can accurately impose boundary conditions for free-surface flow analysis.
The ERP model is formulated so as to satisfies the pressure Neumann boundary
condition and the slip/no-slip boundary condition, without requiring the generation
of virtual particles or treating angled edges as exceptional cases.
For verification of the proposed model, we conducted simulations for a hydrostatic pressure problem. The results were compared with the theoretical values and
the results of other models. We confirmed that the boundary conditions of the ERP
method were appropriately modeled, and the E-MPS method with the ERP model
can achieve adequate accuracy.
Now, we have been developing a more accurate and robust MPS-FE method
applying the ERP model, and a large-scale parallel MPS-FE analysis system using
the large-scale parallel code for the E-MPS method (HDDM_EMPS [12, 13]) and
FEM (ADVENTURE_Solid [14, 15]). This system makes it possible to conduct
robust simulations of three-dimensional fluid-structure interaction. An example is
shown in Fig. 4, which is a three-dimensional simulation of dam break and an
elastic column with constraints on the bottom surface.
Fig. 4 Example of three-dimensional FSI simulation using the MPS-FE method
308
N. Mitsume et al.