A STUDY OF LAGRANGIAN FLUID ELEMENT BASED ON ABSOLUTE NODAL COORDINATE FORMULATION AND ITS APPLICATION IN LIQUID SLOSHING

Fluid dynamics formulations are mainly based on the Eulerian approach, while multi-body systems formulations are mainly based on the Lagrangian approach. Different from the conventional methods based on Eulerian approach, which focus on fluid status by a certain spatial fixation point or a fixed control volume, the absolute nodal coordinate formulation fluid element adopts Lagrangian approach, which can follow fluid material points and establish an unified description of fluid and multi-body systems. The absolute nodal coordinate formulation fluid element approach is derived and improved, and used to model the fluid systems. The absolute nodal coordinate formulation fluid element is also applied to the analysis of liquid sloshing for the first time, and then the accuracy and feasibility are tested. Some simulations are provided and the result shows that, in the case with less number of elements, the absolute nodal coordinate formulation fluid element can meet the requirement of sloshing calculation.