Adaptive hybrid multiscale simulations of soft matter fluids (C05)

• Subject Area: Mathematics
• Term: since 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 233630050

We develop and analyze hybrid multiscale methods for soft matter fluids that bridge the continuum-particle gap by combining a discontinuous Galerkin method for the macroscopic model with molecular dynamics. In the second funding period we have focused on non-Newtonian fluids, particularly polymer melts, in simple and complex geometries as well as on the theoretical convergence analysis of numerical schemes taking multiscale effects into account. The main future goals are two-fold: investigate the applicability of our hybrid multiscale method to new exciting systems (polymer mixtures, magnetic quasi-particles) and theoretical analysis (convergence and error analysis, uncertainty quantification).

• DFG Programme: CRC/Transregios
• Subproject of: TRR 146: Multiscale Simulation Methods in Soft Matter Systems
• Applicant Institution: Johannes Gutenberg-Universität Mainz
• Project Heads: Professorin Dr. Maria Lukacova; Dr. Peter Virnau