WAMS 2012 Proceeding

Modelling elastic walls in lattice Boltzmann simulations for applications in haemodynamics

Authors:   Xenia Descovich, Giuseppe Pontrelli, Simone Melchionna, Sauro Succi, Manfred Bammer

Abstract

An essential part in haemodynamic simulations is the incorporation of the arterial elasticity by modelling the interaction between the blood flow and the vessel wall. We suggest a simple approach for modelling elastic walls in lattice Boltzmann simulations of blood flow in an artery segment. It is based on state changes of the nodes (labelled as fluid and solid) of the underlying lattice. This change of node type models the displacement of the vessel wall and is dependent on the local pressure of the surrounding fluid nodes. The approach is combined with a continuous bounce-back boundary condition which ensures a more gradual displacement of the wall. We carried out numerical experiments on a portion of a vessel to show the feasibility of our approach. Compared to simulations without continuous bounce-back condition, the outcome of the simulations including it show smooth results.

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