Fluid quantities are represented on a grid (Eulerian description), and the immersed boundary is represented by a discrete collection of moving points (Lagrangian description).
The mutation operator can move a boundary point on its edge within an effective range, and change the allele which contains the coordinate information of the boundary point (see Fig. 9).
Owing to its ability of modelling large deformations and the ease of dealing with moving boundary conditions, the material point method is gaining popularity in geotechnical engineering applications.
The moving diaphragm is modelled with a velocity boundary condition, with a moving piston boundary condition as well as with a moving wall boundary condition.
In this method the position of the moving boundary is approximated to a grid point at which depletion of the reagent occurred most recently.
From an optimizing point of view, the model with the new moving boundary is more suitable than the conventional models for design purposes because the displacement magnitude of the horn tip is the only fitting parameter.
From a numerical point of view, the growing crystal gives rise to a moving boundary problem.
Based on this analysis, the global fixed-point adaptation algorithm for time-dependent simulations is extended to moving boundary problems, within the range of body-fitted moving meshes and ALE simulations.
The concepts of segment insertion and subdivision (moving boundary within the segment) are adopted in this model to track the phase change point along the flow channel.
Specification of both boundary point distribution on all sides and moving boundaries is used.
