High order fluid structure interaction in 2D and 3D: Application to blood flow in arteries
Résumé
Accuracy is critical if we are to trust the simulation's predictions. In settings such as fluid-structure interaction it is all the more important to obtain reliable results to understand, for example, the impact of pathologies on blood flows in the cardiovascular system. In~\cite{A-PenPru10} we have proposed a framework for high order (in space and time) fluid structure interaction in 2D using an efficient high order ALE map construction which is described in \cite{A-PruPenQua11}. In the first part of the presentation, we propose a new high order ALE construction which allows for any type --- not only vertical as in \cite{A-PruPenQua11} --- of not too large displacements that applies to 2D as well as 3D. This construction relies on a first order approximation and a correction step that recovers the high order accuracy. In the second part of the talk we present an update of our fluid-structure interaction framework. Along the presentation, we shall display results to illustrate our work.
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