Numerical investigation of blood flows with slip boundary conditions

Abstract: Most studies of patient-specific blood flow models prescribe a no-slip boundary condition at the walls. Although its implementation is straightforward, its validity at the blood-vessel wall interface is questionable. It has been suggested in (Nubar, 1971) for example, that a slip boundary condition can be considered for blood flow in certain situations. We will discuss some effects of prescribing the Navier-type slip boundary condition, which assumes a linear proportionality between the tangential part of the wall velocity and the shear stress using an additional parameter. Such condition can be extended to full fluid-structure interaction problem. Finally, given some measured flow data, for example modern 4D-PC MRI image, we use variational data assimilation approach to estimate the Navier's slip parameter on the vessel wall for real data.

Computer scienceMathematics

Audience: researchers in the topic

Modelling of materials - theory, model reduction and efficient numerical methods (UNCE MathMAC)