BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

On the need of introducing the exponential integrators for some PDEs arising in reactive microfluidics Poncet, Philippe


In this talk, we will describe some fractional step (time-spitting) strategies for the Navier-Stokes, Stokes and stationary Stokes coupled to transport-diffusion-reaction. The main objective is that the resulting PDEs can be solved numerically by fast solvers (particle methods, fast interpolation, FFT). It turns out that the flow computation itself doesn't require sophisticated numerical analysis since the data are structured, but the splitting of transport-reaction-diffusion bumps into some limitations due to the time multi-scale feature and stiffness. One of the most interesting perspectives is the use of exponential integrators in order to handle different operators at the same time and blend it together with particle-strength-exchange schemes.

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