Nonlinear multi-physics coupling for non-conforming interfaces based on a dual mortar formulation.

In the present work, the problem of coupling multiple physical phenomenon in a finite element framework with an interface between two or more non-conforming meshes is considered. Recently the research group at the Institute for Computational Mechanics, Technische Universität München has developed a dual mortar method of monolithic coupling for fluid structure interactions (FSI) involving incompressible fluid. The research group at the Center for Aerospace Structures, University of Colorado at Boulder has developed a residual based method of monolithic coupling that includes FSI, as well as fluid thermal coupling including nonlinear surface effects such as ablation. Both methods take advantage of the benefits of solving a monolithic system which is of the same size as the uncoupled system and does not include Lagrange multipliers in the final system. One of the primary benefits of this is the ability to use well developed iterative linear solvers. The goal of this summer research is to combine the capabilities of both research groups so as to extend the dual mortar method to include compressible FSI problems and fluid thermal interactions with nonlinear surface affects.     «

In the present work, the problem of coupling multiple physical phenomenon in a finite element framework with an interface between two or more non-conforming meshes is considered. Recently the research group at the Institute for Computational Mechanics, Technische Universität München has developed a dual mortar method of monolithic coupling for fluid structure interactions (FSI) involving incompressible fluid. The research group at the Center for Aerospace Structures, University of Colorado...     »