Adaptive Grid Refinement Using Cell-Level and Global Imbalances

Chang, Shengming; Haworth, Daniel C.

doi:10.1002/(sici)1097-0363(19970228)24:4<375::aid-fld499>3.0.co;2-2

Cited by 22 publications

(11 citation statements)

References 15 publications

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“…discretization is first-order in time and up to second-order in space. Additional features that have been implemented to accommodate complex geometry and flow include non-aligned interfaces [30,31] and solution-adaptive local mesh refinement [32]. Available physical models include two-equation turbulence models and a variety of turbulent combustion models.…”

Section: The Fv Codementioning

confidence: 99%

“…This situation arises with non-aligned interfaces [30,31] and solution-adaptive local mesh refinement via element splitting [32], for example. This is accommodated naturally in the present vertex-and face-based mass consistency algorithm, as long as the correct face mass flowrates are provided by the underlying FV solver.…”

Section: Non-aligned Interfaces and Local Mesh Refinementmentioning

confidence: 99%

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A general mass consistency algorithm for hybrid particle/finite-volume PDF methods

Zhang

Haworth

2004

Journal of Computational Physics

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Section: The Fv Codementioning

confidence: 99%

Section: Non-aligned Interfaces and Local Mesh Refinementmentioning

confidence: 99%

A general mass consistency algorithm for hybrid particle/finite-volume PDF methods

Zhang

Haworth

2004

Journal of Computational Physics

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“…The mesh dependency is attributed to the mass, momentum, and energy coupling between the discrete droplets and carrier gas phase, and the spray sub-models. The Adaptive Mesh Refinement (AMR) method has been implemented to numerically better resolve the gas-droplet interphase transfer using locally high mesh resolution (Chang and Haworth, 1997;Senecal et al, 2007;Xue et al, 2008;Xue and Kong, 2009) with less computational penalty. Grid convergence studies for fuel spray were conducted by Senecal et al (2013a) with a Reynolds Averaged Navier Stokes (RANS) turbulence model and by Senecal et al (2013b); Xue et al (2013b); Senecal et al (2014) with different sub-grid scale models in large eddy simulations (LES) on finest mesh resolutions of 0.03125mm by using AMR and fixed embedding techniques.…”

mentioning

confidence: 99%

An Eulerian CFD model and X-ray radiography for coupled nozzle flow and spray in internal combustion engines

Xue

Battistoni

Powell

et al. 2015

International Journal of Multiphase Flow

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This paper implements a coupled approach to integrate the internal nozzle flow and the ensuing fuel spray using a Volume-of-Fluid (VOF) method in the finite-volume framework. A VOF method is used to model the internal nozzle two-phase flow with a cavitation description closed by the homogeneous relaxation model of Bilicki and Kestin (1990). An Eulerian single velocity field approach by Vallet et al. (2001) is implemented for near-nozzle spray modeling. This Eulerian approach considers the liquid and gas phases as a complex mixture with a highly variable density to describe near nozzle dense sprays. The liquid mass fraction is transported with a model for the turbulent liquid diffusion flux into the gas. Fully-coupled nozzle flow and spray simulations are performed in three dimensions and validated against the x-ray radiography measurements of Kastengren et al. (2014) for a diesel fuel surrogate. A standard k − ǫ Reynolds Averaged Navier Stokes based turbulence model is used in this study and the influence of model constants is evaluated. First, the grid convergence study is performed. The effect of grid size is also evaluated by comparing the fuel distribution against experimental data. Finally, the fuel distribution predicted by the coupled Eulerian approach is compared against that by Lagrangian-Eulerian spray model along with experimental data. The coupled Eulerian approach provides a unique way of coupling the nozzle flow and sprays so that the effects of in-nozzle flow can be directly realized on the fuel spray. Both experiment and numerical simulations show noncavitation occurring for this injector with convergent nozzle geometry. The study shows that the Eulerian approach has advantages over near-field dense spray distributions.

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“…In this respect, methods based on numerical imbalance arguments suggest interesting alternatives, e.g. [9,11]. …”

Section: Discussionmentioning

confidence: 99%

“…in kinetic energy, momentum, etc.) have proven useful in guiding automatic grid adaptation and also as surrogate indicators for errors in derived output quantities; see for instance [9,10] and more recently [11], where power forms of mass and momentum residuals are used to guide mesh adaptivity in incompressible flow problems.…”

Section: /26mentioning

confidence: 99%

A-posteriori error estimation for the finite point method with applications to compressible flow

et al. 2017

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Aquesta és una còpia de la versió author's final draft d'un article publicat a la revista Computational mechanics. Abstract. An a-posteriori error estimate with application to inviscid compressible flow problems is presented. The estimate is a surrogate measure of the discretization error, obtained from an approximation to the truncation terms of the governing equations. This approximation is calculated from the discrete nodal differential residuals using a reconstructed solution field on a modified stencil of points. Both the error estimation methodology and the flow solution scheme are implemented using the Finite Point Method, a meshless technique enabling higher-order approximations and reconstruction procedures on general unstructured discretizations. The performance of the proposed error indicator is studied and applications to adaptive grid refinement are presented.

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Adaptive Grid Refinement Using Cell-Level and Global Imbalances

Cited by 22 publications

References 15 publications

A general mass consistency algorithm for hybrid particle/finite-volume PDF methods

A general mass consistency algorithm for hybrid particle/finite-volume PDF methods

An Eulerian CFD model and X-ray radiography for coupled nozzle flow and spray in internal combustion engines

A-posteriori error estimation for the finite point method with applications to compressible flow

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