Modeling Viscoelastic Flows Using Reflected Stochastic Differential Equations

Bonito, A.Lozinski, A.Mountford, T.2011-12-162011-12-162011-12-16201010.4310/CMS.2010.v8.n3.a3https://infoscience.epfl.ch/handle/20.500.14299/75485WOS:000278450200003A reflected diffusion process is proposed for modeling of viscoelastic fluids. In order to define the viscoelastic stress tensor, the reflected diffusion process is approximated by Ito diffusions with a penalization factor in the drift term. Convergence of the stress tensor approximation is proved and an expression for the limiting stress tensor in terms of the reflected process itself is provided.Viscoelastic flowsdumbbell modelsreflected stochastic differential equationsApproximationDiffusionModeling Viscoelastic Flows Using Reflected Stochastic Differential Equationstext::journal::journal article::research article