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numerical methods for multiscale problems

 

     
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  Tony Lelievre: Numerical analysis of micro-macro simulations of polymeric flu id in a Couette flow

We will present the numerical and mathematical analysis of a m icro-macro model to simulate polymeric fluid flows. More precisely, these kinds of models couple the evolution of the configurations of polymers at the microscopic scale to the velocity field at the macroscopic scale, through the stress tensor. From a mathematical point of view, the microscopic evolution of the polymers is modeled through a Stochastic Differential Equation and the evolution of the macroscopic quantities (velocity, pressure) through the Navier Stokes equations. We will explain how we can simulate and analyse this SDE / PDE coupled system in a simple case : a Couette flow.
Impressum
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