Numerical simulation of the aerobreakup of a water droplet

Meng, Jomela C.; Colonius, Tim

doi:10.1017/jfm.2017.804

Cited by 100 publications

(142 citation statements)

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“…One example is the definition of 3 stages in the breakup process [22], which are namely the raising of a surface wave, the droplet flattening, and the entrainment from the peripheral liquid sheet. In another paper [28], the coupling of all mechanisms has also led to the conclusion that breakup consists in one single stage with simultaneous flattening and stripping of the liquid. It is noteworthy that the same trend is observed in DNS as in the experiments: to date, most DNS studies, if not all, concern Weber numbers below 10 4 and studies with W e > 10 3 are quite sparse [22,34].…”

Section: Introductionmentioning

confidence: 98%

“…Due to their lower computational cost, 2D geometries have been the first used for comprehensive studies [24][25][26][27]. 3D simulations have also been performed, with the assumption that viscous or capillary effects are negligible [28]. A second limitation of the simulations comes from the fact that a quantitative comparison with experiments is difficult because much of the experimental data does not provide all of the information on the time and length scales.…”

Section: Introductionmentioning

confidence: 99%

“…Despite these limitations, DNS results have been used to discuss the transitions between the experimentally observed modes, especially at low W e [21]. They also yield access to patterns that are difficult to see experimentally, such as the internal flow field of the drop [34] or the instability growth [24,28]. Moreover, DNS has been used as a tool to propose other phenomenological descriptions of the breakup.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of mechanisms leading to water drop breakup at Mach 4.4 and Weber numbers above 105

et al. 2019

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The paper presents an investigation on water drop breakup in the 'catastrophic' mode at Weber numbers above 10 5. Experimental data have been obtained on a detonation shock tube operated at a Mach number between 4.2 and 4.6. Displacement and deformation of the mist cloud generated around the droplet were observed with a shadowgraph system, and Schlieren imagery was used to visualise the bow and wake shocks around the droplet. We observe that all measured quantities scale with the initial drop diameter. In order to analyse the experimental results and relate these observables to the breakup process, numerical hydrodynamic simulations have been performed. Once validated by direct comparison with our experimental observations, the simulation results are used to see "through" the mist and infer the droplet evolution with dimensionless time T. According to our results, the breakup mechanism can be divided into 3 steps. First (T < 1), most of the liquid mass remains in one main drop, whose shape flattens due to the hydrodynamic forces; then (1 < T < 2) fragmentation begins along the outer rim of the liquid drop and splits the corresponding mass into two parts; the first spreads out radially in small fragments while the remains finally (2 < T < 3.5) take the shape of a filament aligned with the flow. Our results are consistent with a complete breakup time T b = 5.5.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigation of mechanisms leading to water drop breakup at Mach 4.4 and Weber numbers above 105

et al. 2019

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“…A symmetry boundary condition is used at the domain boundary corresponding to the axis of symmetry, r = 0, and approximately nonreflecting, characteristic boundary conditions are used at other domain boundaries[19]. Further details are provided in [17, 20]. …”

Section: Methodsmentioning

confidence: 99%

A source term approach for generation of one-way acoustic waves in the Euler and Navier–Stokes equations

Maeda

Colonius

2017

Wave Motion

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We derive a volumetric source term for the Euler and Navier-Stokes equations that mimics the generation of unidirectional acoustic waves from an arbitrary smooth surface in three-dimensional space. The model is constructed as a linear combination of monopole and dipole sources in the mass, momentum, and energy equations. The singular source distribution on the surface is regularized on a computational grid by convolution with a smeared Dirac delta function. The source is implemented in the Euler equations using a Cartesian-grid finite-volume WENO scheme, and validated by comparing with analytical solution for unidirectional planar and spherical acoustic waves. Using the scheme, we emulate a spherical piezoelectric transducer and a multi-array transducer to simulate focused ultrasound fields in water. The simulated ultrasound fields show favorable agreement with previous experiments.

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“…One may also notice grid imprint at very long times. The latter has been discussed in Meng [26] and is not related to AMR. None concrete solutions are yet known even if one should expect less grid imprint for methods with higher order of accuracy.…”

Section: Water-droplet Atomizationmentioning

confidence: 99%

Adaptive Mesh Refinement algorithm based on dual trees for cells and faces for multiphase compressible flows

Schmidmayer

Petitpas

Daniel

2019

Journal of Computational Physics

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights • New adaptive mesh refinement method using a dual data structure with two trees: A classical one for the computational cells and an extra one dedicated to computational cell faces. • It results in a method that improves computational efficiency while preserving an acceptable memory cost. • The method is applied to one and multi-dimensional multiphase compressible flows in the framework of diffuse-interface methods. • Test cases are performed with quantitative comparisons regarding non-adaptive mesh refinement methods and analytical solutions to analyze benefits.

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Numerical simulation of the aerobreakup of a water droplet

Cited by 100 publications

References 44 publications

Investigation of mechanisms leading to water drop breakup at Mach 4.4 and Weber numbers above 105

Investigation of mechanisms leading to water drop breakup at Mach 4.4 and Weber numbers above 105

A source term approach for generation of one-way acoustic waves in the Euler and Navier–Stokes equations

Adaptive Mesh Refinement algorithm based on dual trees for cells and faces for multiphase compressible flows

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