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. \noindent 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 paper, 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 paper we present an update of our fluid-structure interaction framework.
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