Multiphysics problems, coupling methods and domain decomposition in space and time


Michel Kern, Inria and Maison de la Simulation, France
Jan Nordbotten, University of Bergen, Norway
Malgorzata Peszynska, Oregon State University, USA


Multi-physics problems are ubiquitous in water resources simulations. Examples include reactive transport, geomechanics, geothermal energy, global subsurface-land-atmospheric models, among others. They raise a number of cross-cutting issues from modeling (how should the coupling terms be represented), through mathematical (preserving conservation laws), to numerical (designing robust and efficient solvers for the nonlinear discrete coupled problem). Domain decomposition (DD) and operator splitting methods were originally devised for solving more efficiently single physics problems, but can also be used for multiscale and reduced models, e.g., for fractured media or for pore scale to Darcy scale. They have also shed light on coupling methods for models coupled via transmission conditions through an interface (free flow / Darcy flow). Recently, DD methods in space and time have shown a promising potential for handling different time step in different regions.

This session will gather submissions from both multi-physics problems and domain decomposition methods. Abstracts can be focused on one or several of the issues highlighted above, and can present either methodological advances or novel applications.

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