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A novel fully implicit ÿnite volume method applied to the lid-driven cavity problem—Part I: High Reynolds number ow calculations SUMMARY A novel implicit cell-vertex ÿnite volume method is described for the solution of the Navier–Stokes equations at high Reynolds numbers. The key idea is the elimination of the pressure term from the momentum equation by… (More)

- Miguel A Moyers-Gonzalez, Robert G Owens
- Biorheology
- 2010

In an earlier paper, Moyers-Gonzalez et al. [J. Fluid. Mech. 617 (2008), 327-354] used kinetic theory to derive a non-homogeneous haemorheological model and applied this to simulate the properties of steady flow of blood in a tube. By adjusting the tube haematocrit to match that of the experimental fitted curve of Pries et al. [Circ. Res. 67 (1990),… (More)

- Yasmine Tawfik, Robert G Owens
- Bulletin of mathematical biology
- 2013

Evidence is presented to show that self-sustained oscillations of purely hemodynamical origin are possible in some arcade-type microvascular networks supplied with steady boundary conditions, but that in others the oscillations disappear with sufficient reduction of the time step Δt, showing them to be numerical artefacts. In an attempt to elucidate the… (More)

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