Strategies for Automatic Differentiation.

Confl’uence Mathieu Sellier – Professor – Head of Department (Acting), Mechanical Engineering – University of Canterbury, Christchurch – New Zealand

Mercredi 13 novembre à 10 h 30 Amphithéâtre Nougaro

Abstract : Many flows encountered in our daily lives involve a moving boundary. The shape of a raindrop, for example, evolves as it falls through the air. Likewise, the free surface of a river deforms as it encounters obstacles. While the mathematical ingredients required to describe such flows have been known since the late 19th century and are encapsulated in the Navier-Stokes equations, solving complex flows with a moving boundary or interface still poses significant challenges and provides stimulating cross-disciplinary research opportunities. The question at the centre of the research I will present is “if information about the evolution of a moving interface is available, can we indirectly infer unknown properties of the flow?” Such a question falls in the realm of inverse problems for which one knows the effect but is looking for the cause. Specifically, I will talk about how it is possible to estimate the fluid properties of lava just by looking at how it flows or what is the best way to rotate a pan to cook the perfect crêpe.  

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