Sloshing analysis of a liquid storage container using level set X-FEM. (English) Zbl 1171.76031
Summary: The extended finite element method (X-FEM), in conjunction with the level set method, is applied to sloshing analysis of a rigid container filled with liquid. The governing equations for liquid with a free surface based on the potential flow theory are discretized using the level set X-FEM. Once the space domain of a container is modeled by tetrahedral elements, sloshing analysis for arbitrary liquid levels and configurations can be performed without remeshing. Natural frequencies of free surface sloshing motion in rigid containers of various shapes are computed by the proposed method, and the results are compared with theoretical solutions and experiments.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76B10 | Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing |
| 76B07 | Free-surface potential flows for incompressible inviscid fluids |
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