Numerical Modeling of Defective Boundary Problems in Incompressible Fluid-Dynamics
Keywords
Author(s):
Vergara, Christian
Title:
Numerical Modeling of Defective Boundary Problems in Incompressible Fluid-Dynamics
Date:
Friday 28th April 2006
Advisor:
Veneziani, Alessandro
Advisor II:
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Abstract:
We propose and analyze a new formulation, proposed for the steady linear case in Formaggia et al.(2002), for the prescription of flow rate boundary conditions in fluid-dynamics. We present three strategies for its numerical resolution and several numerical results both for the accademic validation and for the applications. Furthermore, we apply this strategy to the fluid-structure interaction case.
Moreover, we apply the proposed strategy to improve the clinical measurements, based on the Doppler technique, of the blood flow rate.
Finally, we propose and analyze a completely new strategy based on the control theory, with several numerical algorithms and results. This strategy can be applied to the mean pressure boundary condition as well.