2009
DOI: 10.1016/j.jcp.2008.11.003
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Extension of the finite volume particle method to viscous flow

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Cited by 57 publications
(34 citation statements)
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“…The effects of the correction are automatically accounted for through the ALE formulation of the FVPM. This particle motion scheme has been validated by Nestor et al [18] for Poiseuille, liddriven cavity and Taylor-Green flows.…”
Section: Particle Distribution Control By An Arbitrary Lagrangian-eulmentioning
confidence: 97%
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“…The effects of the correction are automatically accounted for through the ALE formulation of the FVPM. This particle motion scheme has been validated by Nestor et al [18] for Poiseuille, liddriven cavity and Taylor-Green flows.…”
Section: Particle Distribution Control By An Arbitrary Lagrangian-eulmentioning
confidence: 97%
“…First-order spatial accuracy is obtained if the numerical flux function F is computed on the basis of a zero-order extrapolation of the discrete particle values to the particle interfaces. The FVPM has been extended to higher-order accuracy and viscous flow by Nestor et al [18]. Higher-order accuracy is achieved via linear extrapolation of the variables to the particle interfaces, following the approach of van Leer [21], with a second-order explicit Runge-Kutta temporal discretisation.…”
Section: Higher Order and Viscous Flow Extensionsmentioning
confidence: 99%
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“…FVPM is a particle-based solver introduced by Hietel et al (2000) in 2000, Nestor et al (2009 extended the method to incompressible flows. This method features an Arbitrary Lagrangian-Eulerian (ALE) formulation, which means that the computing nodes can either move with the material velocity or a user-prescribed velocity.…”
Section: Numerical Simulationmentioning
confidence: 99%