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Inexact GMRES: Red blood cells

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posted on 2016-03-09, 02:45 authored by Tingyu Wang, Simon K. Layton, Lorena A. BarbaLorena A. Barba
Figures and plotting scripts.

Figure 16, 17, 19, 20 of the paper: "Inexact Krylov iterations and relaxation strategies with fast-multipole boundary element method"

Submitted for peer review.

Fig. 16: (EthrocyteConvergence.pdf)
Observed convergence for Stokes flow around red blood cells, with respect to the extrapolated value of the drag coefficient, using Richardson extrapolation.

Fig. 17: (EthrocyteSingleCellIterations.pdf)
Number of iterations needed for the system to converge for increasingly refined surface meshes on one red blood cell; p = 16, target residual 10^-5.

Fig. 19: (EthrocyteMultipleCellIterations.pdf)
Number of iterations needed to converge to a desired residual of 10^-5 for systems with multiple red blood cells, discretized with different mesh sizes (p = 16).

Fig. 20: (EthrocyteMultipleCellSpeedup.pdf)
Speed-ups of the relaxation strategy with several red blood cells in uniform Stokes flow, using different mesh sizes on each cell. The abscissa value corresponds to the total number of panels (all cells).

Funding

National Science Foundation award ACI-1149784

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