Meshfree collocation method based on interpolating moving least squares

At LMSSC, Cnam, Paris, July 5th 2007
Hennadiy Netuzhylov    Personal website
PhD Student, Computational Sciences in Engineering, Technische Universität Braunschweig, Germany

Numerical analysis of transient boundary-coupled multifield problems involving moving, deforming and often topologically changing interfaces is still a difficult issue in computational dynamics. We present a novel Space-Time Meshfree Collocation Method based on Interpolating Moving Least Squares (STMCM-IMLS) and its application to a coupled problem with evolving and deforming interfaces: the problem of biofilm growth. The presented technique is a truly meshfree method in both space and time which provides a straightforward and consistent way of solving partial differential equations. The moving interface is being implicitly tracked solving the level-set equation.

Laboratoire de Mécanique des Structures et des Systèmes Couplés - LMSSC