Mesh movement via Legendre transforms
A new mesh movement algorithm is presented based on a Legendre transform arising from optimal transportation theory. This naturally allows the mesh connectivity to change, so that adjacent cells can move apart to avoid regions of distorted or poor quality mesh. It is applied here to the Enter equations with conservation on such a mesh achieved by the construction of space-time cells. The method is demonstrated on problems with large deformations and where the regions of concentrated mesh change their topology, e.g. merging and separating. (C) British Crown Copyright 2007/MOD. Reproduced with permission. Published by John Wiley & Sons, Ltd.
mesh movement optimal transportation monitor functions