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In this paper a new monolithic Eulerian formulation in the framework ofnon-classical continuum is presented for the analysis of fluid-strucutureinteraction problems. In this respect, Cosserat continuum theory taking intoaccount the micro-rotational degrees of freedom of the particles is considered.Continuum description of the model and variational formulation of the governingflow dynamics for non-classical -fluid-structure interaction nCFSI ispresented. The model is analyzed by computing a well known benchmark problem byHecht and Pironneau (2017). The algorithmic description is presented andimplemented using FreeFEM++. Code is validated with the benchmark solution ofTurek and Hron (2006) in case of flow around a flag attached with cylinder. Newmicrostructural behavior of the solution is studied and numerical simulationsand results are shown in the form of figures. Some interesting feature of theflow is observed and microstructural characteristics are discussed.

A Monolithic Eulerian Formulation for non-Classical Fluid-Structure Interaction (nCFSI): Modeling and Simulation