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2.3 MECHANICAL ENGINEERING
The Computational Haemodynamics Research Group (CHRG) in Technological University Dublin is developing a computational ﬂuid dynamics (CFD) software package aimed speciﬁcally at physiologically-realistic modelling of blood ﬂow. A physiologically-realistic model of blood ﬂow involves calculating the deformation of individual red blood cells (RBCs) and the contribution of this deformation to the overall blood ﬂow. The CHRG has developed an enhanced spring-particle RBC structural model that is capable of modelling the full stomatocyte-discocyteechinocyte (SDE) transformation. This RBC model, incorporated into a ﬂuid dynamics solver, will provide a physiologically-realistic blood ﬂow model. In this work the overall plasma ﬂow is modelled using a novel technique: the lattice Boltzmann ﬂux solver (LBFS). This is an innovative approach to solving the NavierStokes (N-S) equations for ﬂuid ﬂow. It involves solving the macroscopic equations using the ﬁnite volume method (FVM) and calculating the ﬂux across the cell interfaces via a local reconstruction of the lattice Boltzmann equation (LBE). Fluidstruture interaction between the RBC and the plasma is captured by coupling the RBC solver to the LBFS via the immersed boundary method (IBM). Numerical experiments investigating RBC dynamics are performed using non-uniform grids and validated against existing experimental data in the literature. Finally all numerical solvers are developed using general purpose GPU programming (GPGPU) and this is shown to accelerate simulation runtimes signiﬁcantly.
Walsh, B. (2020) Red Blood Cell Dynamics on Non-Uniform Grids using a Lattice Boltzmann Flux Solver and a Spring-Particle Red Blood Cell Model , Doctoral Thesis, Technological University Dublin.