418 Innovative Numerical Approaches for Multiphysics Problems

Anna Pandolfi, Politecnico de Milano
Kerstin Weinberg, Universität Siegen
Laurent Stainier, Ecole Centrale de Nantes
On the wake of previous successful meetings, we aim at organizing a mini-symposium on novel and alternative computational approaches for the analysis of multi-physics problems. Advanced mechanical applications often require the solution of weakly or strongly coupled problems, where mechanics has to account for changes in temperature, electric fields, magnetic fields, chemical potentials, solid and fluid interaction. As engineers, we are particularly interested in defining the physical aspects of a problem and finding their solutions, but as far as coupled problems are concerned, the contributions of scientist from other branches of sciences are highly requested and appreciated. 
In order to spread ideas that can be fruitfully applied to different coupled problems we would like to focus on a thermodynamically consistent modelling of complex, three-dimensional multi-physical problems and their reliable numerical solution. For example, we look at:
• thermo-hydro-chemo-mechanics
• active magneto-electric elastomers and tissues
• porous flow and fluid-structure interaction
During the mini-symposium, we would like to discuss the advantages of using innovative or alternative space and time multi-scale algorithms and advanced methods for transient strongly coupled problems implying transition between space and time scales, with special emphasis on the advanced mathematical aspects therein involved. We are also interested in interactions between the formulation of novel constitutive models and numerical methods used to solve boundary-value problems. Approaches able to conceal smoothly different length scales and techniques proposing or utilizing multi-scale integration procedures, approaches able to deal with fast and slow time regimes and robust enough to avoid numerical instabilities are are therefore of great interest for the expected audience of the minisymposium.