A representation of curved boundaries for the solution of the Navier–Stokes equations on a staggered three-dimensional Cartesian grid

Kirkpatrick, M.P.; Armfield, S.W.; Kent, JH

doi:10.1016/s0021-9991(02)00013-x

Cited by 163 publications

(127 citation statements)

References 43 publications

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“…The set of equations noted above are solved by the large eddy simulation code PUFFIN originally developed by Kirkpatrick et al [38][39] and later extended by Ranga Dinesh et al In the LES code, an iterative time advancement scheme is used to advance a variable density calculation. First, the time derivative of the mixture fraction is approximated using the CrankNicolson scheme.…”

Section: Methodsmentioning

confidence: 99%

Combustion characteristics of H2/N2 and H2/CO syngas nonpremixed flames

Dinesh

Jiang

Kirkpatrick

et al. 2012

International Journal of Hydrogen Energy

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Section: Methodsmentioning

confidence: 99%

Combustion characteristics of H2/N2 and H2/CO syngas nonpremixed flames

Dinesh

Jiang

Kirkpatrick

et al. 2012

International Journal of Hydrogen Energy

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“…Cartesian grid methods which can simulate flow with complex geometries on Cartesian grids, avoid these problems. The most popular methods are the immersed boundary method [53][54][55][56] and Cartesian cut cell method [57][58][59][60][61][62]. The primary advantage of the Cartesian grid method is that only little modification of the program on Cartesian grids is needed to account for the complex geometries.…”

Section: (B) the Complex Geometry Treatment In Cartesian Gridsmentioning

confidence: 99%

A two-phase flow model for three-dimensional breaking waves over complex topography

Xie

2015

Proc. R. Soc. A.

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A two-phase flow model has been developed to study three-dimensional breaking waves over complex topography, including the wave pre-breaking, overturning and post-breaking processes. The largeeddy simulation approach has been adopted in this study, where the model is based on the filtered Navier-Stokes equations with the Smagorinsky sub-grid model being used for the unresolved scales of turbulence. The governing equations have been discretized using the finite volume method, with the PISO algorithm being employed for the pressurevelocity coupling. The air-water interface has been captured using a volume of fluid method and the partial cell treatment has been implemented to deal with complex topography in the Cartesian grid. The model is first validated against available analytical solutions and experimental data for solitary wave propagation over constant water depth and threedimensional breaking waves over a plane slope, respectively. Furthermore, the model is used to study three-dimensional overturning waves over three different bed topographies, with three-dimensional wave profiles and surface velocities being presented and discussed. The overturning jet, air entrainment and splash-up during wave breaking have been captured by the two-phase flow model, which demonstrates the capability of the model to simulate free surface flow and wave breaking problems over complex topography.

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“…All simulations were performed using the LES code PUFFIN originally developed by Kirkpatrick et al (2003) and later extended by Ranga Dinesh (2007,2009). Second order central differences (CDS) are used for the spatial discretisation of all terms in both the momentum equation and the pressure correction equation.…”

Section: Numerical Computationsmentioning

confidence: 99%