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| Fluid structure interaction incompressible material point method and its applications in sloshing problem |
| Received:May 16, 2016 Revised:June 16, 2016 |
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| DOI：10.7511/jslx201604025 |
| KeyWord:material point method fluid structure interaction incompressible material point method pressure Poisson equation liquid sloshing |
| Author | Institution |
| 张雄 |
清华大学 航天航空学院, 北京 |
| 张帆 |
清华大学 航天航空学院, 北京 |
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| Abstract: |
| As a hybrid meshless method,material point method (MPM) takes advantages of both Eulerian and Lagrangian methods,so it possesses unique advantages in solving fluid-structure interaction (FSI) problems.For free surface flow problems,our group has developed a weakly compressible material point method (WCMPM) and a fully incompressible material point method (iMPM) based on the MPM of MPM.However,both of them suffer from some difficulties in solving FSI problems.The weakly compressible EOS adopted in the WCMPM leads to a very small time step size,serious pressure oscillation and even non-physical spray and splash;The iMPM eliminates the pressure oscillation existing in WCMPM and allows a significantly bigger time step size,but it is difficult to handle the moving solid boundary conditions.In this paper,a novel fluid-structure interaction incompressible material point method (FSI-iMPM) is proposed based on a variational form projection scheme.A volume-weighted pressure Poisson equation (PPE) is established on the background grid.The proposed FSI-iMPM couples fluid with irregular solid boundary and moving solid wall boundary automatically.To validate the proposed FSI-iMPM,two problems of sloshing in a moving rigid container are investigated,and the numerical results agree well with the available experiment and numerical results. |
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