Developments in Cartesian cut cell methods

Ingram, David; Causon, D. M.; Mingham, Clive G.

doi:10.1016/s0378-4754(02)00107-6

Cited by 189 publications

(94 citation statements)

References 31 publications

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“…However, due to complex characteristics of pore geometry, the pore meshing process should be carried out by CutCell [63] or Delaunay triangulation [64] technology automatically. The free surface can be captured by the Level Set [65] or VOF (volume of fluid) method [66].…”

Section: Navier-stokes Equation-based Interface Capturing Methodsmentioning

confidence: 99%

Advances in Pore-Scale Simulation of Oil Reservoirs

Wang

et al. 2018

Energies

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Abstract:At the high water cut stage, the residual oil in a reservoir becomes complex and dispersed. Moreover, it is challenging to achieve good predictions of the movement of oil and water in a reservoir according to the macroscopic models based on the statistic parameters of this scenario. However, pore-scale simulation technology based on directly tracking the interaction among different phases can make an accurate prediction of the fluid distribution in the pore space, which is highly important in the improvement of the recovery rate. In this work, pore-scale simulation methods, including the pore network model, lattice Boltzmann method, Navier-Stokes equation-based interface tracking methods, and smoothed particle hydrodynamics, and relevant technologies are summarized. The principles, advantages, and disadvantages, as well as the degree of difficulty in the implementation are analyzed and compared. Problems in the current simulation technologies, micro sub-models, and applications in physicochemical percolation are also discussed. Finally, potential developments and prospects in this field are summarized.

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Section: Navier-stokes Equation-based Interface Capturing Methodsmentioning

confidence: 99%

Advances in Pore-Scale Simulation of Oil Reservoirs

Wang

et al. 2018

Energies

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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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“…The cell to merge with is usually selected by finding that neighbouring cell lying in the direction of the normal vector to the solid face. The choice of A min is based on a trade off between time step and geometric resolution, normally A min = 0.5∆x∆y is considered to be acceptable [50]. An alternative approach is to use a method which is stable for large time steps [39].…”

Section: Cell Mergingmentioning

confidence: 99%

Estudo do Galgamento de Estruturas Marítimas utilizando um Modelo Numérico baseado na Teoria da Onda em Condições de Água pouco Profunda

Reis¹,

Neves²

2010

RGCI

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The main objective of Workpackage 5 is to use numerical simulation of wave overtopping in order to solve the problem of suspected scale effects. A second, related, objective is to improve existing codes in such a way as they are able to simulate wave overtopping in a reliable way. The final, single, objective is to numerically model long waves on the shallow foreshore at Petten in order to understand the phenomenon of long waves and their effect on overtopping. This report deals with the work undertaken towards the first two objectives, the simulations undertaken for objective 3 are the subject of a separate report entitled "Influence of low-frequency waves on wave overtopping" by M.R.A. van Gent and C.C. Giarrusso and published by WL | Delft hydraulics in November 2003.Realistic simulations of wave overtopping require numerical methods which are able accurately to simulate the shoaling, breaking and possible overturning of waves prior to their impact on the seawall. It is a further requirement that the simulation continues after impact, modelling the formation of the overtopping jet and the reflection of the wave. The research groups at Manchester Metropolitan University (MMU) and the University of Gent (UGent) have been working in parallel on the development of such numerical codes. The MMU code, AMAZON-SC, is a numerical wave flume based on the free surface capturing approach. While the UGent code, LVOF, is a numerical wave basin based on the volume of fluid approach. This report describes the progress of these numerical methods, in order to address the first two objectives of Workpackage 5. Their application to various cases, is also discussed, including: a test problem involving wave overtopping of a smooth sea-dike, wave overtopping at Samphire Hoe and an investigation of scale effects on rough impermeable structures.The Report begins with a general introduction, followed by a section describing AMAZON-SC (the MMU code), a section describing LVOF (the UGent code) and then some general conclusions.

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Developments in Cartesian cut cell methods

Cited by 189 publications

References 31 publications

Advances in Pore-Scale Simulation of Oil Reservoirs

Advances in Pore-Scale Simulation of Oil Reservoirs

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

Estudo do Galgamento de Estruturas Marítimas utilizando um Modelo Numérico baseado na Teoria da Onda em Condições de Água pouco Profunda

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