Anna Lancmanová (TU Prag): Influence of momentum flux correction coefficient in 2D-1D coupling

@Analysis und Angewandte Mathematik

 

Abstract:  This work is motivated by the air flow in the human respiratory system, although similar problems are also common in other areas of biomedical, environmental or industrial fluid mechanics.

Some selected results regarding the implementation, validation and testing of a simple 2D-1D coupled model designed to capture some essential features of the oscillatory air flow in human respiratory system will be presented. The model relies on a 2D flow model solved by a simple finite-difference scheme in the immersed boundary setting. This model is coupled to a simplified 1D fluid-structure-interaction model simulating the flow in a tube with elastic walls. A series of numerical tests based on coupled model was performed in order to evaluate its sensibility to selected parameters. From these parameters, influence of momentum flux correction coefficient, defined as the ratio of momentum flux based on actual velocity to momentum flux obtained using averaged velocity profile across a given section, will be discussed in detail.

 

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