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Extension of the finite volume particle method to viscous flow

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dc.contributor.author Nestor, Ruairi M. en
dc.contributor.author Basa, Mihai en
dc.contributor.author Lastiwka, Martin en
dc.contributor.author Quinlan, Nathan J. en
dc.date.accessioned 2009-09-30T10:27:05Z en
dc.date.available 2009-09-30T10:27:05Z en
dc.date.issued 2009-03-20 en
dc.identifier.citation Nestor, R. M., Basa, M., Lastiwka, M., & Quinlan, N. J. (2009). "Extension of the finite volume particle method to viscous flow". Journal of Computational Physics, 228(5), 1733-1749. en
dc.identifier.uri http://hdl.handle.net/10379/322 en
dc.description.abstract The finite volume particle method (FVPM) is a mesh-free method for fluid dynamics which allows simple and accurate implementation of boundary conditions and retains the conservation and consistency properties of classical finite volume methods. In this article, the FVPM is extended to viscous flows using a consistency-corrected smoothed particle hydrodynamics (SPH) approximation to evaluate velocity gradients. The accuracy of the viscous FVPM is improved by a higher-order discretisation of the inviscid flux combined with a second-order temporal discretisation. The higher-order inviscid FVPM is validated for a 1-D shock tube problem, in which it demonstrates an enhanced shock capturing ability. For two-dimensional simulations, a small arbitrary Lagrange¿Euler correction to fully Lagrangian particle motion is beneficial in maintaining a favourable particle distribution over long simulation times. The viscous FVPM is validated for two-dimensional Poiseuille, Taylor¿Green and lid-driven cavity flows, and good agreement is achieved with analytic or reference numerical solutions. These results establish the viability of FVPM as a tool for mesh-free simulation of viscous flows in engineering. en
dc.format application/pdf en
dc.language.iso en_US en
dc.publisher Elsevier en
dc.subject Mesh-free methods en
dc.subject Navier Stokes equations en
dc.subject Finite volume methods en
dc.subject Viscous flow en
dc.subject Incompressible flow en
dc.subject.lcsh Differential equations, Hyperbolic, Numerical solutions en
dc.subject.lcsh Finite volume method en
dc.title Extension of the finite volume particle method to viscous flow en
dc.type Article en
dc.local.publishedsource http://dx.doi.org/10.1016/j.jcp.2008.11.003 en
dc.description.peer-reviewed non-peer-reviewed en

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