The Finite Volume Method in Computational Fluid Dynamics

Moukalled, F.; Mangani, Luca; Darwish, M.

doi:10.1007/978-3-319-16874-6

Cited by 727 publications

(420 citation statements)

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“…According to Veerstek & Malalasekera [38] and Moukalled, Margani & Darwish [46], y + values in a range of (11.06 to 12.00) have important effects to turbulence production near the wall. As shown in the graph of Figure 6, the u velocity with respect to the mesh degree (by number of elements) stops varying from the FINE mesh degree.…”

Section: Mesh Selection and Sensibility Analysismentioning

confidence: 99%

Validation of a Computational Fluid Dynamics Model for a Novel Residence Time Distribution Analysis in Mixing at Cross-Junctions

Cervantes

Delgado-Galván

Nava

et al. 2018

Water

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Abstract:In Water Distribution Networks, the chlorine control is feasible with the use of water quality simulation codes. EPANET is a broad domain software and several commercial computer software packages base their models on its methodology. However, EPANET assumes that the solute mixing at cross-junctions is "complete and instantaneous". Several authors have questioned this model. In this paper, experimental tests are developed while using Copper Sulphate as tracer at different operating conditions, like those of real water distribution networks, in order to obtain the Residence Time Distribution and its behavior in the mixing as a novel analysis for the cross-junctions. Validation tests are developed in Computational Fluid Dynamics, following the k-ε turbulence model. It is verified that the mixing phenomenon is dominated by convection, analyzing variation of Turbulent Schmidt Number vs. experimental tests. Having more accurate mixing models will improve the water quality simulations to have an appropriate control for chlorine and possible contaminants in water distribution networks.

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Section: Mesh Selection and Sensibility Analysismentioning

confidence: 99%

Validation of a Computational Fluid Dynamics Model for a Novel Residence Time Distribution Analysis in Mixing at Cross-Junctions

Cervantes

Delgado-Galván

Nava

et al. 2018

Water

View full text Add to dashboard Cite

show abstract

“…Ideally, the mean values in the discrete control volumes are derived by applying the midpoint rule for numerical integration such that their approximation is second-order accurate. Therefore, the nodal values should ideally represent values at the centroid of the surrounding discrete control volume (Blazek, 2005;Moukalled et al, 2016). In that regard, a cell-centered finite difference scheme is thus more accurate than a vertex-centered finite difference scheme.…”

Section: Interpretation Of Nodal Valuesmentioning

confidence: 99%

“…Namely, in cell-centered finite difference schemes the nodal values always correspond to the centroids of the cell whereas in vertex-centered finite difference schemes nodes and centroids (of the dual cells) do not coincide at model boundaries and in model regions where the primary grid is not uniform. It is well known that this mismatch between nodes and centroids can lead to inaccuracies since the mean values within affected discrete volumes are not computed by a midpoint rule (Blazek, 2005;Moukalled et al, 2016).…”

Section: Interpretation Of Nodal Valuesmentioning

confidence: 99%

New insights into the differences between the dual node approach and the common node approach for coupling surface–subsurface flow

Rooij

2017

Hydrol. Earth Syst. Sci.

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Abstract. The common node approach and the dual node approach are two widely applied approaches to coupling surface-subsurface flow. In this study both approaches are analyzed for cell-centered as well as vertex-centered finite difference schemes. It is shown that the dual node approach should be conceptualized and implemented as a one-sided first-order finite difference to approximate the vertical subsurface hydraulic gradient at the land surface. This results in a consistent dual node approach in which the coupling length is related to grid topology. In this coupling approach the coupling length is not to be interpreted as a nonphysical model parameter. Although this particular coupling approach is technically not new, the differences between this consistent dual node approach and the common node approach have not been studied in detail. In fact, this coupling scheme is often believed to be similar to the common node approach. In this study it is illustrated that in comparison to the common node approach, the head continuity at the surface-subsurface interface is formulated more correctly in the consistent dual node approach. Numerical experiments indicate that the consistent dual node approach is less sensitive to the vertical discretization when simulating excess infiltration. It is also found that the consistent dual node approach can be advantageous in terms of numerical efficiency.

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“…A 3-dimensional assembly model was created in Autodesk Inventor professional and geometry was simplified with respect to functional design of the device. The Finite Volume Method is a numerical technique that transforms the partial differential equations representing conservation laws over differential volumes into discrete algebraic equations over finite volumes [17]. Ansys meshing was used to discretize 3 solid bodies.…”

Section: Cfd Simulationmentioning

confidence: 99%

Parameters Effecting Forced Vortex Formation in Blade Passageway of Dynamic Air Classifier

2017

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Abstract. Air classification of particulate materials is a method of classifying particles into coarse and fine fractions based on their size, density or shape. The performance of the rotor air classifier is affected by operating parameters which include the classifier rotor speed, air inlet velocity and material feed rate. Effects of operating and structural parameters on turbulent flow field patterns inside of a dynamic air classifier are investigated. Increasing the computing power, together with new turbulence models and approaches to simulate complex fully turbulent problems by solving Navier-Stokes equations allows studying and capturing smaller flow structures and properties more accurately. Velocity vector maps for varying operating parameters are studied by means of numerical simulations. The experimental section includes a visualization of flow patterns and velocity vector maps in the rotor region by the use of the particle image velocimetry (PIV). Results are compared and discussed.

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The Finite Volume Method in Computational Fluid Dynamics

Abstract: The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.

Cited by 727 publications

References 0 publications

Validation of a Computational Fluid Dynamics Model for a Novel Residence Time Distribution Analysis in Mixing at Cross-Junctions

Validation of a Computational Fluid Dynamics Model for a Novel Residence Time Distribution Analysis in Mixing at Cross-Junctions

New insights into the differences between the dual node approach and the common node approach for coupling surface–subsurface flow

Parameters Effecting Forced Vortex Formation in Blade Passageway of Dynamic Air Classifier

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