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BIRS Workshop Lecture Videos
Characteristic-based flux partitioning for atmospheric flows and a posteriori error estimation Constantinescu, Emil
I will discuss two topics: characteristic-based flux partitioning and a posteriori error estimation. In the first part I introduce a characteristic-based flux partitioning for the semi-implicit time integration of atmospheric flows and discuss it in the context of compressible Euler equations. Here the acoustic time-scale is significantly faster than the advective scale, yet it is typically not relevant to atmospheric and weather phenomena. The acoustic and advective components of the hyperbolic flux are separated in the characteristic space. Results with high-order, conservative additive Runge-Kutta methods are briefly discussed. In the second part I will briefly discuss some new time-stepping strategies with built-in global error estimators. These methods can be cast as general linear schemes that provide pointwise a posteriori errors. I will show some preliminary results on ODE and PDE problems.
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