A concept for aortic dissection with fluid‐structure‐crack interaction

Abstract

In aortic dissection, the layers composing the aorta rupture, allowing blood to enter the vessel wall. This process is modeled applying a monolithic fluid‐structure interaction framework, formulating the Navier‐Stokes equations for incompressible flows as well as the mixed finite strain elastodynamics equations in the Lagrangian frame of reference. Continuous test‐ and trial function spaces are employed in the whole domain, rendering the coupling straightforward. Within this contribution, a predefined function indicating failure is used to convert solid to fluid elements, thereby mimicing tissue rupture.

Efficient split-step schemes for fluid-structure interaction involving incompressible generalised Newtonian flows

“…This leads to an inherent tight coupling of physical fields, but unfortunately comes with an increased implementation 1 Email address: schussnig@tugraz.at, corresponding author effort, possibly unusual data structures and more involved preconditioners. Several variants to enforce the interface conditions include, e.g., Langrange multipliers [8,[33][34][35][36], Nitsche's method [37][38][39], mortar techniques [28,40], penalty approaches [41][42][43] or formulations enforcing interface conditions via the function space choice [44][45][46][47][48][49].…”