This work comprises a step towards the quantitative and qualitative analysis of coupled local and global hemodynamics phenomena in the arterial system. The aim of this work is to present some numerical examples to put in evidence the importance of the use of 3D-1D coupled models in hemodynamics problems when carrying out simulations of rather complex situations. Accordingly, some cases for which classical modeling cannot be applied are identified and solved. The results obtained here allow us to assess some interrelations between local pointwise quantities (defined at the level of the 3D model) and global mean quantities (defined at the level of the 1D model).
With the usage of a robust and efficient method, validated with literature data, numerical experiments were developed to analyze isolated rising bubbles and quantify fluid dynamic forces acting on them. An integral method is presented and used for the calculus, allowing the observation of the evolution of the total fluid dynamic force and the momentum rate of change in different types of rising bubbles. Drag coefficients were calculated and compared with literature correlations. Results showed that the present method is qualified to be applied for numerical experiments of isolated rising bubbles.
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