A FD/FE framework for fluid-structure interaction with complex materials and transitional flow

Dominik Obrist (University of Bern)

Thursday 8th March, 2018 14:00-15:00 311B Mathematics and Statistics Building

Abstract

(Lunch with the speaker will be at One A The Square, leaving from the school front foyer at 12.45.)

The flow systems of the heart and the great blood vessels comprise complex materials (soft tissue) and flows at moderately high Reynolds numbers which may undergo transition from laminar to turbulent flow. Computational modelling of such fluid-structure interaction (FSI) problems requires efficient high-fidelity solvers for structure and flow as well as a robust scheme for coupling the two phases.
We present a new FSI framework based on the immersed boundary method which has been developed for modelling cardiovascular flow systems. It comprises an finite element (FE) solver for the full elastodynamics equations of the structure, a Navier-Stokes solver using high-order finite difference (FD) schemes and a variational transfer for coupling the FE mesh of the structure and the Cartesian grid of the flow. This framework has been optimized for massively-parallel execution and has been tested for numerical convergence. We show different FSI test cases including a benchmark for solid inertia and a problem with transitional flow past an obstacle made of a complex material with fibres.

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