Lagrange Sliding-Colliding Interfaces

A Lagrange Sliding-Colliding Interface enables the free interaction of several meshes during the Lagrange Finite difference time step. It is based on dynamically identifying the boundary edges of the other meshes which may collide with a certain boundary vertex and identifying a "penetration point" for each such edge. From those non-additive possible collisions, the minimal sufficient set of interacting edges are chosen. The interaction corrects the vertices' velocities to satisfy relative velocity constraints in order to prevent interpenetration while preserving the momentum. Later on, after the coordinates have been advanced to the next time step, the coordinates positions may be corrected (if the need arises). The interface auto-detects the need for its existence the user does not have to define it in advance. Another usage of the interface is correcting small overlaps caused by independent re-mesh operations of several regions. Distributed Hypersphere Decomposition in Arbitrary Dimensions Aron J. Ahmadia* Department of Applied Physics & Applied Mathematics, Columbia University David E. Keyes Department of Applied Physics & Applied Mathematics, Columbia University