Proposal for a Victorian Post-Doctorial Research Fellowship application
Monash University
School of Mathematical Sciences
Posted on: Tue Dec 18 2012Numerical methods for fluid-structure interaction on generic grids
In the last few years, a vast number of numerical methods have been developed to approximate fluid equations on generic grids featuring, e.g., polyhedral elements and non-matching interfaces. The need for those was driven by underground engineering applications (such as oil recovery or carbon storage), but they have outgrown their original purpose and proved to be very efficient in other areas.
The objective of this project is to extend those methods to fluid-porous structure dynamics, such as the ones encountered in the modelling of biological structures such as lungs or blood vessels, or in the prediction of flow-induced damages in the context of geoscience applications. For such phenomena, the capacity of a method to handle fluid dynamics on generic meshes is a real added value as it would avoid costly re-meshing, usually done when the structure moves. The purpose of this project is to develop numerical methods for partial differential equations modelling fluid-porous structure dynamics, to mathematically analyse the methods and to implement them in the open C++ platform fvC++/SpaFEDTe.
The fellow will spend the first 2 years of his fellowship working in Montpellier, France, with Daniele Di Pietro and his collaborators. She/he would then come back to Monash University for his last fellowship year to work with Jerome Droniou
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